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<title>CVC3: CVC3::TheoryArithNew Class Reference</title>
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<div id="projectname">CVC3 <span id="projectnumber">2.4.1</span></div>
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<li class="navelem"><a class="el" href="namespaceCVC3.html">CVC3</a> </li>
<li class="navelem"><a class="el" href="classCVC3_1_1TheoryArithNew.html">TheoryArithNew</a> </li>
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<div class="title">CVC3::TheoryArithNew Class Reference</div> </div>
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<!-- doxytag: class="CVC3::TheoryArithNew" --><!-- doxytag: inherits="CVC3::TheoryArith" -->
<p><code>#include <<a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>></code></p>
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Inheritance diagram for CVC3::TheoryArithNew:</div>
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<area href="classCVC3_1_1TheoryArith.html" title="This theory handles basic linear arithmetic." alt="CVC3::TheoryArith" shape="rect" coords="0,56,144,80"/>
<area href="classCVC3_1_1Theory.html" title="Base class for theories." alt="CVC3::Theory" shape="rect" coords="0,0,144,24"/>
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<p><a href="classCVC3_1_1TheoryArithNew-members.html">List of all members.</a></p>
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Classes</h2>
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<li>struct <a class="el" href="structCVC3_1_1TheoryArithNew_1_1BoundInfo.html">BoundInfo</a>
<li>class <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a>
<li>struct <a class="el" href="structCVC3_1_1TheoryArithNew_1_1ExprBoundInfo.html">ExprBoundInfo</a>
<li>class <a class="el" href="classCVC3_1_1TheoryArithNew_1_1FreeConst.html">FreeConst</a>
<li>class <a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a>
<dl class="el"><dd class="mdescRight">Private class for an inequality in the Fourier-Motzkin database. <a href="classCVC3_1_1TheoryArithNew_1_1Ineq.html#details">More...</a><br/></dl><li>class <a class="el" href="classCVC3_1_1TheoryArithNew_1_1VarOrderGraph.html">VarOrderGraph</a>
</ul>
<h2><a name="pub-methods"></a>
Public Member Functions</h2>
<ul>
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a420591a664c53906e735b528f7dc2c94">separateMonomial</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &c, <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var)
<dl class="el"><dd class="mdescRight">Separate monomial e = c*p1*...*pn into c and 1*p1*...*pn. <a href="#a420591a664c53906e735b528f7dc2c94"></a><br/></dl><li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#a8e6e4c763da5203506a4ccc89d884655">isInteger</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Check the term t for integrality (return bool) <a href="#a8e6e4c763da5203506a4ccc89d884655"></a><br/></dl><li><a class="el" href="classCVC3_1_1TheoryArithNew.html#ab4411e3c522623b9041aa52ce7d857f7">TheoryArithNew</a> (<a class="el" href="classCVC3_1_1TheoryCore.html">TheoryCore</a> *core)
<li><a class="el" href="classCVC3_1_1TheoryArithNew.html#ad1803172bb5078cdfc962febe9b080dc">~TheoryArithNew</a> ()
<li><a class="el" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a> * <a class="el" href="classCVC3_1_1TheoryArithNew.html#ac92f7d2a8db02ccf23fe15302dee278d">createProofRules</a> ()
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a73bfa7842e5dfb1bbcf540b6a0ce49c8">addSharedTerm</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad083c5101196d8ea5aecf48dc00a9341">assertFact</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &e)
<dl class="el"><dd class="mdescRight">Assert a new fact to the decision procedure. <a href="#ad083c5101196d8ea5aecf48dc00a9341"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a3dafcfa8f6451023a83ce69c53fac641">refineCounterExample</a> ()
<dl class="el"><dd class="mdescRight">Process disequalities from the arrangement for model generation. <a href="#a3dafcfa8f6451023a83ce69c53fac641"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7d73feef91b15cb086f6d1b7a7bd19c2">computeModelBasic</a> (const std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > &v)
<dl class="el"><dd class="mdescRight">Assign concrete values to basic-type variables in v. <a href="#a7d73feef91b15cb086f6d1b7a7bd19c2"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5c9f6212127845ff56f5c88aff72d49a">computeModel</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > &vars)
<dl class="el"><dd class="mdescRight">Compute the value of a compound variable from the more primitive ones. <a href="#a5c9f6212127845ff56f5c88aff72d49a"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#af7b2bbb0c854bab9488a19b1d3072cb5">checkSat</a> (bool fullEffort)
<dl class="el"><dd class="mdescRight">Check for satisfiability in the theory. <a href="#af7b2bbb0c854bab9488a19b1d3072cb5"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#adf76a677d3133da1fb3e8cf33ba26cc9">rewrite</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Theory-specific rewrite rules. <a href="#adf76a677d3133da1fb3e8cf33ba26cc9"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a36a8c831cfe356a9e779988cae3e101c">setup</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Set up the term e for call-backs when e or its children change. <a href="#a36a8c831cfe356a9e779988cae3e101c"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a3790410296752fded1074ce1b808598b">update</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &e, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &d)
<dl class="el"><dd class="mdescRight">Notify a theory of a new equality. <a href="#a3790410296752fded1074ce1b808598b"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a35ee82710c965d845aecbe6320f2ae38">solve</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &e)
<dl class="el"><dd class="mdescRight">An optional solver. <a href="#a35ee82710c965d845aecbe6320f2ae38"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae4ed8b9b3074828d356a35192288b397">checkAssertEqInvariant</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &e)
<dl class="el"><dd class="mdescRight">A debug check used by the primary solver. <a href="#ae4ed8b9b3074828d356a35192288b397"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a272700cefa9c3f96bde0b61cc1d0b69e">checkType</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Check that e is a valid <a class="el" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> expr. <a href="#a272700cefa9c3f96bde0b61cc1d0b69e"></a><br/></dl><li><a class="el" href="namespaceCVC3.html#af969e724f8b7016909f5804e8cea3e54">Cardinality</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a1070c24b2f7c993390dc1e3f00282f94">finiteTypeInfo</a> (<a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, <a class="el" href="classCVC3_1_1Unsigned.html">Unsigned</a> &n, bool enumerate, bool computeSize)
<dl class="el"><dd class="mdescRight">Compute information related to finiteness of types. <a href="#a1070c24b2f7c993390dc1e3f00282f94"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a86fdcfbc819885dac3640dcf68472554">computeType</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Compute and store the type of e. <a href="#a86fdcfbc819885dac3640dcf68472554"></a><br/></dl><li><a class="el" href="classCVC3_1_1Type.html">Type</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a84a67c02055bd8d4e4eb3d7c60ddf495">computeBaseType</a> (const <a class="el" href="classCVC3_1_1Type.html">Type</a> &t)
<dl class="el"><dd class="mdescRight">Compute the base type of the top-level operator of an arbitrary type. <a href="#a84a67c02055bd8d4e4eb3d7c60ddf495"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#adb72936111e69a1ab0e032cc017ee2db">computeModelTerm</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > &v)
<dl class="el"><dd class="mdescRight">Add variables from 'e' to 'v' for constructing a concrete model. <a href="#adb72936111e69a1ab0e032cc017ee2db"></a><br/></dl><li><a class="el" href="classCVC3_1_1Expr.html">Expr</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a46272039047747962cdfbb34d6e54476">computeTypePred</a> (const <a class="el" href="classCVC3_1_1Type.html">Type</a> &t, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight"><a class="el" href="classCVC3_1_1Theory.html" title="Base class for theories.">Theory</a> specific computation of the subtyping predicate for type t applied to the expression e. <a href="#a46272039047747962cdfbb34d6e54476"></a><br/></dl><li><a class="el" href="classCVC3_1_1Expr.html">Expr</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aa618dbba5196953efee6954efe321ef8">computeTCC</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Compute and cache the TCC of e. <a href="#aa618dbba5196953efee6954efe321ef8"></a><br/></dl><li><a class="el" href="classCVC3_1_1ExprStream.html">ExprStream</a> & <a class="el" href="classCVC3_1_1TheoryArithNew.html#a01afc8056a17c0412af99b3c33bace20">print</a> (<a class="el" href="classCVC3_1_1ExprStream.html">ExprStream</a> &os, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Theory-specific pretty-printing. <a href="#a01afc8056a17c0412af99b3c33bace20"></a><br/></dl><li>virtual <a class="el" href="classCVC3_1_1Expr.html">Expr</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae909a0b86693e59e95c69de37e6adf08">parseExprOp</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Theory-specific parsing implemented by the DP. <a href="#ae909a0b86693e59e95c69de37e6adf08"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#acf71ca1da6261f1fb8f14522613de497">registerAtom</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad4e8b908bccb2d534552f968bd27979c">getLowerBound</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x) const
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7fcc9a229fd6125188d69f4bc282cdfb">getUpperBound</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x) const
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab27c747e527f4e6a9f0bc39692a706af">getLowerBoundThm</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x) const
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab41d31e40d053398a37f77a7a797c7a7">getUpperBoundThm</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x) const
<li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a41dbe160161458e73fa669fe891ec529">getBeta</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x)
</ul>
<h2><a name="pri-types"></a>
Private Types</h2>
<ul>
<li>enum <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">NormalizationType</a> { <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4a5df10a1338d39c91f6886d5b09a2751d">NORMALIZE_GCD</a>,
<a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4a382fccac5af0c0091adfac3b4048c2ba">NORMALIZE_UNIT</a>
}
<li>typedef <a class="el" href="classHash_1_1hash__map.html">Hash::hash_map</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <br class="typebreak"/>
<a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a159af481e211c2e18dd9280a17ae17a3">TebleauxMap</a>
<li>typedef std::set< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a57d34162d4006753f6202c531e2a9d9a">SetOfVariables</a>
<li>typedef <a class="el" href="classHash_1_1hash__map.html">Hash::hash_map</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <br class="typebreak"/>
<a class="el" href="classCVC3_1_1TheoryArithNew.html#a57d34162d4006753f6202c531e2a9d9a">SetOfVariables</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a3353b432dcd79f2168bfcefc072edb67">DependenciesMap</a>
<li>typedef std::set< <a class="el" href="structCVC3_1_1TheoryArithNew_1_1ExprBoundInfo.html">ExprBoundInfo</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2a34551a41e235972300cd849314c472">BoundInfoSet</a>
</ul>
<h2><a name="pri-methods"></a>
Private Member Functions</h2>
<ul>
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a1f78d51287d2a25282a94b7bb09d7932">isIntegerThm</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Check the term t for integrality. <a href="#a1f78d51287d2a25282a94b7bb09d7932"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aedd0b63568ada4ac3ddbc515e882a617">isIntegerDerive</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &isIntE, const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<dl class="el"><dd class="mdescRight">A helper method for <a class="el" href="classCVC3_1_1TheoryArithNew.html#a1f78d51287d2a25282a94b7bb09d7932" title="Check the term t for integrality.">isIntegerThm()</a> <a href="#aedd0b63568ada4ac3ddbc515e882a617"></a><br/></dl><li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#a89696e5cdd27e0e15711a7b9a027c205">kidsCanonical</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Check if the kids of e are fully simplified and canonized (for debugging) <a href="#a89696e5cdd27e0e15711a7b9a027c205"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a453194ac83f105514a4d95fca44bd08e">canon</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Canonize the expression e, assuming all children are canonical. <a href="#a453194ac83f105514a4d95fca44bd08e"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aeb8051f2049c78b1b007e274288fcc3b">canonSimplify</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Canonize and reduce e w.r.t. union-find database; assume all children are canonical. <a href="#aeb8051f2049c78b1b007e274288fcc3b"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2a7779383e5e73671e5b29978f106c0d">canonSimplify</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<dl class="el"><dd class="mdescRight">Composition of <a class="el" href="classCVC3_1_1TheoryArithNew.html#aeb8051f2049c78b1b007e274288fcc3b" title="Canonize and reduce e w.r.t. union-find database; assume all children are canonical.">canonSimplify(const Expr&)</a> by transitivity: take e0 = e1, canonize and simplify e1 to e2, return e0 = e2. <a href="#a2a7779383e5e73671e5b29978f106c0d"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a48756ab6f45691b827fc4e5545651778">canonPred</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<dl class="el"><dd class="mdescRight">Canonize predicate (x = y, x < y, etc.) <a href="#a48756ab6f45691b827fc4e5545651778"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a18e20adf514c858e9cfeb535e545fb06">canonPredEquiv</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab43a4690bbc1cbe62a368efa7816de4a">doSolve</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &e)
<dl class="el"><dd class="mdescRight">Solve an equation and return an equivalent <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> in the solved form. <a href="#ab43a4690bbc1cbe62a368efa7816de4a"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a1e1a47d2be625ad62ac79da63678dc26">canonConjunctionEquiv</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<dl class="el"><dd class="mdescRight">takes in a conjunction equivalence Thm and canonizes it. <a href="#a1e1a47d2be625ad62ac79da63678dc26"></a><br/></dl><li><a class="el" href="classCVC3_1_1Expr.html">Expr</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7e1ffe57de5017f1a3bc83aa3a6163a7">pickIntEqMonomial</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &right)
<dl class="el"><dd class="mdescRight">picks the monomial with the smallest abs(coeff) from the input <a href="#a7e1ffe57de5017f1a3bc83aa3a6163a7"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5cc134d71df3e702dc3785072f4d5bb3">processRealEq</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &eqn)
<dl class="el"><dd class="mdescRight">processes equalities with 1 or more vars of type REAL <a href="#a5cc134d71df3e702dc3785072f4d5bb3"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#afdcb8dc50f957161f878c563f09a48b3">processIntEq</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &eqn)
<dl class="el"><dd class="mdescRight">processes equalities whose vars are all of type INT <a href="#afdcb8dc50f957161f878c563f09a48b3"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a25d8be2e57c83d2e810ee815fae992d7">processSimpleIntEq</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &eqn)
<dl class="el"><dd class="mdescRight">One step of INT equality processing (aux. method for <a class="el" href="classCVC3_1_1TheoryArithNew.html#afdcb8dc50f957161f878c563f09a48b3" title="processes equalities whose vars are all of type INT">processIntEq()</a>) <a href="#a25d8be2e57c83d2e810ee815fae992d7"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a210dc18f7e0df0a95ff00292e9dacdbc">isolateVariable</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &inputThm, bool &e1)
<dl class="el"><dd class="mdescRight">Take an inequality and isolate a variable. <a href="#a210dc18f7e0df0a95ff00292e9dacdbc"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#af80703576d25418c16a5a187e8bcd0ef">updateStats</a> (const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &c, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var)
<dl class="el"><dd class="mdescRight">Update the statistics counters for the variable with a coeff. c. <a href="#af80703576d25418c16a5a187e8bcd0ef"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a8105c616e2a7410133e6f4c908d35def">updateStats</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &monomial)
<dl class="el"><dd class="mdescRight">Update the statistics counters for the monomial. <a href="#a8105c616e2a7410133e6f4c908d35def"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a4aa91ab5d33db7fbcaf1eb5e327f64f9">addToBuffer</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<dl class="el"><dd class="mdescRight">Add an inequality to the input buffer. See also d_buffer. <a href="#a4aa91ab5d33db7fbcaf1eb5e327f64f9"></a><br/></dl><li><a class="el" href="classCVC3_1_1Expr.html">Expr</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5d94da8150af4d31977b695bfeac4801">pickMonomial</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &right)
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad34845d9afc0b2091a4e07d6ee805066">lessThanVar</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &isolatedVar, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var2)
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2597ed8fe8f3cae03240a2064d516c88">isStale</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Check if the term expression is "stale". <a href="#a2597ed8fe8f3cae03240a2064d516c88"></a><br/></dl><li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#a6c182b83ba6d8d60557dfa19446fb9da">isStale</a> (const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a> &ineq)
<dl class="el"><dd class="mdescRight">Check if the inequality is "stale" or subsumed. <a href="#a6c182b83ba6d8d60557dfa19446fb9da"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab4e8d03929cc1b660d29d94c3adf3fcc">projectInequalities</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &theInequality, bool isolatedVarOnRHS)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ac327959d7f9b67467862643c33ff89c1">assignVariables</a> (std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > &v)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#abb05a7ed953b9b3ac71497c44826c743">findRationalBound</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &varSide, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &ratSide, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var, <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &r)
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad2690ef89c8acd959a9238c4f0bc0a57">findBounds</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &lub, <a class="el" href="classCVC3_1_1Rational.html">Rational</a> &glb)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9c096e8707864d1a0ecde75bd58cf424">normalizeProjectIneqs</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &ineqThm1, const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &ineqThm2)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a6a01623e613f46e0d8f2de1a05262ec2">solvedForm</a> (const std::vector< <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> > &solvedEqs)
<dl class="el"><dd class="mdescRight">Take a system of equations and turn it into a solved form. <a href="#a6a01623e613f46e0d8f2de1a05262ec2"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aeeb80a89d9eb5c4fc2515d2108e197d8">substAndCanonize</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &t, <a class="el" href="classCVC3_1_1ExprMap.html">ExprMap</a>< <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> > &subst)
<dl class="el"><dd class="mdescRight">Substitute all vars in term 't' according to the substitution 'subst' and canonize the result. <a href="#aeeb80a89d9eb5c4fc2515d2108e197d8"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#af2775def72b9055dc878963bcfb9b947">substAndCanonize</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &eq, <a class="el" href="classCVC3_1_1ExprMap.html">ExprMap</a>< <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> > &subst)
<dl class="el"><dd class="mdescRight">Substitute all vars in the RHS of the equation 'eq' of the form (x = t) according to the substitution 'subst', and canonize the result. <a href="#af2775def72b9055dc878963bcfb9b947"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a437f70ccbf4e58ba40b4b9a067b224f1">collectVars</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > &vars, std::set< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > &cache)
<dl class="el"><dd class="mdescRight">Traverse 'e' and push all the i-leaves into 'vars' vector. <a href="#a437f70ccbf4e58ba40b4b9a067b224f1"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2f6e83fb2d863d7625c94d90bf5db856">processFiniteInterval</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &alphaLEax, const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &bxLEbeta)
<dl class="el"><dd class="mdescRight">Check if alpha <= ax & bx <= beta is a finite interval for integer var 'x', and assert the corresponding constraint. <a href="#a2f6e83fb2d863d7625c94d90bf5db856"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#aa2a249c2877aa16d3517a6cca9992216">processFiniteIntervals</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x)
<dl class="el"><dd class="mdescRight">For an integer var 'x', find and process all constraints A <= ax <= A+c. <a href="#aa2a249c2877aa16d3517a6cca9992216"></a><br/></dl><li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a251086c30f2a7939e6d624d4a4cd8db4">setupRec</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<dl class="el"><dd class="mdescRight">Recursive setup for isolated inequalities (and other new expressions) <a href="#a251086c30f2a7939e6d624d4a4cd8db4"></a><br/></dl><li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aeee481c90c90340e900a847fc0c8b82e">deriveGomoryCut</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_i)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a68884e312bf69a858ed5a45979571d1a">rafineIntegerConstraints</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ac6fc7d06f3933010435be7f77b0022bc">propagateTheory</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &assertExpr, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &bound, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &oldBound)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a59752d5aa73e48dd1a6c133a41a3c5d4">updateDependenciesAdd</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &sum)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#aa21dc626bcc3110d6f90cddfa66e7729">updateDependenciesRemove</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &sum)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a85da313a2d543ca7343191a4cc20fa0d">updateDependencies</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &oldExpr, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &newExpr, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &skipVar)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#a16a43c368ec23e06c847ae9684a98381">updateFreshVariables</a> ()
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad22fa5522add29991c72dab60da2e922">updateValue</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)
<li>std::string <a class="el" href="classCVC3_1_1TheoryArithNew.html#af2a4bc0a133edf66fe040d72c4e7ea01">tableauxAsString</a> () const
<li>std::string <a class="el" href="classCVC3_1_1TheoryArithNew.html#afbbf8a22ba662eaea65afbbcb135ff83">unsatAsString</a> () const
<li>std::string <a class="el" href="classCVC3_1_1TheoryArithNew.html#acbfcb4d92182bdf9e185661ec0fc61e0">boundsAsString</a> ()
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad6fc5bdbe7ed6bcd4df8543e96b2b079">getVariableIntroThm</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &leftSide)
<li>const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> & <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5fcebedad96665573ab5eafb7d70b2e0">findCoefficient</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &expr)
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#af4eaf347e86ee4616a52676801213711">isBasic</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x) const
<li><a class="el" href="classCVC3_1_1Rational.html">Rational</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a4ed9c0c6e1bfa32ead951cb6c1221f0e">getTableauxEntry</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_i, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_j)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab19840152f3116c50edb0b6c0cc673f7">pivot</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_r, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_s)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#abd8ac3d26ddd910cc52da9bde210e50a">update</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_i, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &v)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae9e0aad1b930137d011dbab8bf4b0874">pivotAndUpdate</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_i, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_j, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &v)
<li><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a344feb254ed4f336fc0dc41a66cf232c">assertUpper</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_i, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &c, const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<li><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aa17423f3ce290e28544a356f0977f6f8">assertLower</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_i, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &c, const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<li><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ace140a37ea260f769f4aa2756e5f22f0">assertEqual</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &x_i, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> &c, const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm)
<li><a class="el" href="classCVC3_1_1Expr.html">Expr</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a48d4a6a488973f4fc79fc8d0c4d1470c">computeNormalFactor</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &rhs, <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">NormalizationType</a> type=NORMALIZE_GCD)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a243f5665943792345df52be2a94eb648">normalize</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">NormalizationType</a> type=NORMALIZE_GCD)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a51f12b9264f77ec8a82f58cce68780c8">normalize</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &thm, <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">NormalizationType</a> type=NORMALIZE_GCD)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a349c59e5b2eb5c2a9154f5bdeff43fde">substAndCanonizeModTableaux</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &eq)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#afc88d03ab0e42f2e4e53f8c5800313ad">substAndCanonizeModTableaux</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &sum)
<li>void <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad7d64d8e7110a9992654154b3e3613b0">substAndCanonizeTableaux</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &eq)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#abebb5cee14c85657ea68c873372b14d9">pivotRule</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &eq, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &var)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a843498f8c1a569a296822e8f1f92d675">getLowerBoundExplanation</a> (const <a class="el" href="classHash_1_1hash__map.html#a0fae180472ddfd8822c881caf23c11a9">TebleauxMap::iterator</a> &var_it)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a6bbd3291d090682e1c8a2cadb0d8380d">getUpperBoundExplanation</a> (const <a class="el" href="classHash_1_1hash__map.html#a0fae180472ddfd8822c881caf23c11a9">TebleauxMap::iterator</a> &var_it)
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5402887425b9a029f2ae0718c5012cb2">addInequalities</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &le_1, const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &le_2)
<li><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab67b64c7fd085bd9881aa7cef33217de">checkSatSimplex</a> ()
<li><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7b516a72d54789b1403b8854b83aeb29">checkSatInteger</a> ()
</ul>
<h2><a name="pri-attribs"></a>
Private Attributes</h2>
<ul>
<li><a class="el" href="classCVC3_1_1CDList.html">CDList</a>< <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7f402d265d6f783bbc4139ba3dddd9db">d_diseq</a>
<li><a class="el" href="classCVC3_1_1CDO.html">CDO</a>< size_t > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a40a1d8f8e7d2faf4ddffe3ca14a90e88">d_diseqIdx</a>
<li><a class="el" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a> * <a class="el" href="classCVC3_1_1TheoryArithNew.html#a1fb30358f2875620fef664227f0d3d5e">d_rules</a>
<li><a class="el" href="classCVC3_1_1CDO.html">CDO</a>< bool > <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae29425ad828a82acb991db1ab50e8dd7">d_inModelCreation</a>
<li><a class="el" href="classCVC3_1_1ExprMap.html">ExprMap</a>< <a class="el" href="classCVC3_1_1CDList.html">CDList</a>< <a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a> > * > <a class="el" href="classCVC3_1_1TheoryArithNew.html#acb102f87cd4bcdba4d404a6951eac0aa">d_inequalitiesRightDB</a>
<dl class="el"><dd class="mdescRight">Database of inequalities with a variable isolated on the right. <a href="#acb102f87cd4bcdba4d404a6951eac0aa"></a><br/></dl><li><a class="el" href="classCVC3_1_1ExprMap.html">ExprMap</a>< <a class="el" href="classCVC3_1_1CDList.html">CDList</a>< <a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a> > * > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a74167d750ba8d8cc8b0ec520e8a41894">d_inequalitiesLeftDB</a>
<dl class="el"><dd class="mdescRight">Database of inequalities with a variable isolated on the left. <a href="#a74167d750ba8d8cc8b0ec520e8a41894"></a><br/></dl><li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="classCVC3_1_1TheoryArithNew_1_1FreeConst.html">FreeConst</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab5a2165c11bc6867c349627682291fcf">d_freeConstDB</a>
<dl class="el"><dd class="mdescRight">Mapping of inequalities to the largest/smallest free constant. <a href="#ab5a2165c11bc6867c349627682291fcf"></a><br/></dl><li><a class="el" href="classCVC3_1_1CDList.html">CDList</a>< <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2f0dca2d2952728c2556f8d255cfb008">d_buffer</a>
<dl class="el"><dd class="mdescRight">Buffer of input inequalities. <a href="#a2f0dca2d2952728c2556f8d255cfb008"></a><br/></dl><li><a class="el" href="classCVC3_1_1CDO.html">CDO</a>< size_t > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9a394c94c0607e645c355489631ed690">d_bufferIdx</a>
<dl class="el"><dd class="mdescRight">Buffer index of the next unprocessed inequality. <a href="#a9a394c94c0607e645c355489631ed690"></a><br/></dl><li>const int * <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2f0bafe4d3eddd28d9d9484318c17e45">d_bufferThres</a>
<dl class="el"><dd class="mdescRight">Threshold when the buffer must be processed. <a href="#a2f0bafe4d3eddd28d9d9484318c17e45"></a><br/></dl><li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, int > <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad568a72b85a6bc0c70dfe14d279c9360">d_countRight</a>
<dl class="el"><dd class="mdescRight">Mapping of a variable to the number of inequalities where the variable would be isolated on the right. <a href="#ad568a72b85a6bc0c70dfe14d279c9360"></a><br/></dl><li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, int > <a class="el" href="classCVC3_1_1TheoryArithNew.html#add35a93fae75084ae5b77f1995477c77">d_countLeft</a>
<dl class="el"><dd class="mdescRight">Mapping of a variable to the number of inequalities where the variable would be isolated on the left. <a href="#add35a93fae75084ae5b77f1995477c77"></a><br/></dl><li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, bool > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a6d0b6ef62c9feb4df9c71f2c11912b54">d_sharedTerms</a>
<dl class="el"><dd class="mdescRight">Set of shared terms (for counterexample generation) <a href="#a6d0b6ef62c9feb4df9c71f2c11912b54"></a><br/></dl><li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, bool > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7ae009f0e7ba96e071f45d9e1094c522">d_sharedVars</a>
<dl class="el"><dd class="mdescRight">Set of shared integer variables (i-leaves) <a href="#a7ae009f0e7ba96e071f45d9e1094c522"></a><br/></dl><li><a class="el" href="classCVC3_1_1TheoryArithNew_1_1VarOrderGraph.html">VarOrderGraph</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aed79ec63593f899733e76790d28d4a62">d_graph</a>
<li>std::set< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae79693c72c0c7236d6d76cab2a4dcc0b">intVariables</a>
<li><a class="el" href="classCVC3_1_1CDO.html">CDO</a>< <a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5d837dd76fd8ae099ace4c1e6492301d">consistent</a>
<li><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a26d56a1b473c8e770caba9f3eb85f79a">explanation</a>
<li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="structCVC3_1_1TheoryArithNew_1_1BoundInfo.html">BoundInfo</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9fd0d5eca20607172cb8260a02296e74">lowerBound</a>
<li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="structCVC3_1_1TheoryArithNew_1_1BoundInfo.html">BoundInfo</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a485637b86fce6c4a8d53d54e286d2eb8">upperBound</a>
<li><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a>< <a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab75b8a7b5960850c91a39c7713fb2477">beta</a>
<li><a class="el" href="classHash_1_1hash__map.html">DependenciesMap</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5fd6d2cc2d018a67da124ef194f178ab">dependenciesMap</a>
<li><a class="el" href="classHash_1_1hash__map.html">TebleauxMap</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad96e0ca1cad09988822b88f82ebdc016">tableaux</a>
<li><a class="el" href="classHash_1_1hash__map.html">TebleauxMap</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ac7d4a8110239f9c2d6f17c7a46a69d6e">freshVariables</a>
<li>std::set< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a3accb9cf21e2168036e7b365649820fa">unsatBasicVariables</a>
<li>std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7ff415cf3c90ddb60ff436d4b0b4c04b">assertedExpr</a>
<li><a class="el" href="classCVC3_1_1CDO.html">CDO</a>< unsigned int > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a74dc050dee06beacca0e7e32b4585ec0">assertedExprCount</a>
<li>bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#ace61ed893b9e6d4b5e8ff19f40e9152a">propagate</a>
<li><a class="el" href="classCVC3_1_1TheoryArithNew.html#a2a34551a41e235972300cd849314c472">BoundInfoSet</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae72d6b44b420d4acb2935c00d0b01fec">allBounds</a>
<li><a class="el" href="classCVC3_1_1CDO.html">CDO</a>< <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> > <a class="el" href="classCVC3_1_1TheoryArithNew.html#a17aa12461bb0531b62670e37499b38a0">integer_lemma</a>
</ul>
<h2><a name="friends"></a>
Friends</h2>
<ul>
<li>std::ostream & <a class="el" href="classCVC3_1_1TheoryArithNew.html#a24b0687e8f0fa36a6d5bacc8155517e2">operator<<</a> (std::ostream &os, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1FreeConst.html">FreeConst</a> &fc)
<dl class="el"><dd class="mdescRight">Printing. <a href="#a24b0687e8f0fa36a6d5bacc8155517e2"></a><br/></dl><li>std::ostream & <a class="el" href="classCVC3_1_1TheoryArithNew.html#a588ea1b8e9435f2a0fa0fbfe028fbd28">operator<<</a> (std::ostream &os, const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a> &ineq)
<dl class="el"><dd class="mdescRight">Printing. <a href="#a588ea1b8e9435f2a0fa0fbfe028fbd28"></a><br/></dl></ul>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>This theory handles basic linear arithmetic.</p>
<dl class="author"><dt><b>Author:</b></dt><dd>Clark Barrett</dd></dl>
<dl class="since"><dt><b>Since:</b></dt><dd>Sat Feb 8 14:44:32 2003 </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00041">41</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
</div><hr/><h2>Member Typedef Documentation</h2>
<a class="anchor" id="a159af481e211c2e18dd9280a17ae17a3"></a><!-- doxytag: member="CVC3::TheoryArithNew::TebleauxMap" ref="a159af481e211c2e18dd9280a17ae17a3" args="" -->
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<td class="memname">typedef <a class="el" href="classHash_1_1hash__map.html">Hash::hash_map</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>> <a class="el" href="classHash_1_1hash__map.html">CVC3::TheoryArithNew::TebleauxMap</a><code> [private]</code></td>
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<div class="memdoc">
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00611">611</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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</div>
<a class="anchor" id="a57d34162d4006753f6202c531e2a9d9a"></a><!-- doxytag: member="CVC3::TheoryArithNew::SetOfVariables" ref="a57d34162d4006753f6202c531e2a9d9a" args="" -->
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<td class="memname">typedef std::set<<a class="el" href="classCVC3_1_1Expr.html">Expr</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a57d34162d4006753f6202c531e2a9d9a">CVC3::TheoryArithNew::SetOfVariables</a><code> [private]</code></td>
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<div class="memdoc">
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00615">615</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
</div>
</div>
<a class="anchor" id="a3353b432dcd79f2168bfcefc072edb67"></a><!-- doxytag: member="CVC3::TheoryArithNew::DependenciesMap" ref="a3353b432dcd79f2168bfcefc072edb67" args="" -->
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<td class="memname">typedef <a class="el" href="classHash_1_1hash__map.html">Hash::hash_map</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="classCVC3_1_1TheoryArithNew.html#a57d34162d4006753f6202c531e2a9d9a">SetOfVariables</a>> <a class="el" href="classHash_1_1hash__map.html">CVC3::TheoryArithNew::DependenciesMap</a><code> [private]</code></td>
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<div class="memdoc">
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00616">616</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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</div>
<a class="anchor" id="a2a34551a41e235972300cd849314c472"></a><!-- doxytag: member="CVC3::TheoryArithNew::BoundInfoSet" ref="a2a34551a41e235972300cd849314c472" args="" -->
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<td class="memname">typedef std::set<<a class="el" href="structCVC3_1_1TheoryArithNew_1_1ExprBoundInfo.html">ExprBoundInfo</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2a34551a41e235972300cd849314c472">CVC3::TheoryArithNew::BoundInfoSet</a><code> [private]</code></td>
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</div>
<div class="memdoc">
<p>A set of <a class="el" href="structCVC3_1_1TheoryArithNew_1_1BoundInfo.html">BoundInfo</a> objects </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00636">636</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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</div>
<hr/><h2>Member Enumeration Documentation</h2>
<a class="anchor" id="a9707c04f2d2af4812b8c18029f0368f4"></a><!-- doxytag: member="CVC3::TheoryArithNew::NormalizationType" ref="a9707c04f2d2af4812b8c18029f0368f4" args="" -->
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<td class="memname">enum <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">CVC3::TheoryArithNew::NormalizationType</a><code> [private]</code></td>
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<div class="memdoc">
<p><a class="el" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> of noramlization GCD = 1 or just first coefficient 1 </p>
<dl><dt><b>Enumerator: </b></dt><dd><table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><em><a class="anchor" id="a9707c04f2d2af4812b8c18029f0368f4a5df10a1338d39c91f6886d5b09a2751d"></a><!-- doxytag: member="NORMALIZE_GCD" ref="a9707c04f2d2af4812b8c18029f0368f4a5df10a1338d39c91f6886d5b09a2751d" args="" -->NORMALIZE_GCD</em> </td><td>
</td></tr>
<tr><td valign="top"><em><a class="anchor" id="a9707c04f2d2af4812b8c18029f0368f4a382fccac5af0c0091adfac3b4048c2ba"></a><!-- doxytag: member="NORMALIZE_UNIT" ref="a9707c04f2d2af4812b8c18029f0368f4a382fccac5af0c0091adfac3b4048c2ba" args="" -->NORMALIZE_UNIT</em> </td><td>
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</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00813">813</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
</div>
</div>
<hr/><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" id="ab4411e3c522623b9041aa52ce7d857f7"></a><!-- doxytag: member="CVC3::TheoryArithNew::TheoryArithNew" ref="ab4411e3c522623b9041aa52ce7d857f7" args="(TheoryCore *core)" -->
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<td class="memname">TheoryArithNew::TheoryArithNew </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classCVC3_1_1TheoryCore.html">TheoryCore</a> * </td>
<td class="paramname"><em>core</em></td><td>)</td>
<td></td>
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<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01055">1055</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00633">assertedExprCount</a>, <a class="el" href="theory__arith__new_8h_source.html#l00527">consistent</a>, <a class="el" href="arith__theorem__producer_8cpp_source.html#l00043">createProofRules()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00102">d_buffer</a>, <a class="el" href="theory__arith__new_8h_source.html#l00103">d_bufferIdx</a>, <a class="el" href="theory__arith__new_8h_source.html#l00044">d_diseq</a>, <a class="el" href="theory__arith_8h_source.html#l00073">CVC3::TheoryArith::d_intType</a>, <a class="el" href="theory__arith_8h_source.html#l00072">CVC3::TheoryArith::d_realType</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="theory__arith_8h_source.html#l00054">CVC3::DARK_SHADOW</a>, <a class="el" href="theory__arith_8h_source.html#l00045">CVC3::DIVIDE</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="theory_8h_source.html#l00090">CVC3::Theory::getEM()</a>, <a class="el" href="theory__arith_8h_source.html#l00055">CVC3::GRAY_SHADOW</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="debug_8h_source.html#l00406">IF_DEBUG</a>, <a class="el" href="theory__arith_8h_source.html#l00038">CVC3::INT</a>, <a class="el" href="theory__arith_8h_source.html#l00047">CVC3::INTDIV</a>, <a class="el" href="theory__arith_8h_source.html#l00053">CVC3::IS_INTEGER</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="theory__arith_8h_source.html#l00043">CVC3::MINUS</a>, <a class="el" href="theory__arith_8h_source.html#l00048">CVC3::MOD</a>, <a class="el" href="theory__arith_8h_source.html#l00044">CVC3::MULT</a>, <a class="el" href="theory__arith_8h_source.html#l00034">CVC3::NEGINF</a>, <a class="el" href="expr__manager_8cpp_source.html#l00367">CVC3::ExprManager::newKind()</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory__arith_8h_source.html#l00035">CVC3::POSINF</a>, <a class="el" href="theory__arith_8h_source.html#l00046">CVC3::POW</a>, <a class="el" href="kinds_8h_source.html#l00037">RATIONAL_EXPR</a>, <a class="el" href="theory__arith_8h_source.html#l00037">CVC3::REAL</a>, <a class="el" href="theory__arith_8h_source.html#l00033">CVC3::REAL_CONST</a>, <a class="el" href="theory_8cpp_source.html#l00203">CVC3::Theory::registerTheory()</a>, <a class="el" href="queryresult_8h_source.html#l00033">CVC3::SATISFIABLE</a>, <a class="el" href="theory__arith_8h_source.html#l00039">CVC3::SUBRANGE</a>, and <a class="el" href="theory__arith_8h_source.html#l00041">CVC3::UMINUS</a>.</p>
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<a class="anchor" id="ad1803172bb5078cdfc962febe9b080dc"></a><!-- doxytag: member="CVC3::TheoryArithNew::~TheoryArithNew" ref="ad1803172bb5078cdfc962febe9b080dc" args="()" -->
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<td class="memname">TheoryArithNew::~TheoryArithNew </td>
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<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01140">1140</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr__map_8h_source.html#l00190">CVC3::ExprMap< Data >::begin()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00091">d_inequalitiesLeftDB</a>, <a class="el" href="theory__arith__new_8h_source.html#l00089">d_inequalitiesRightDB</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, and <a class="el" href="expr__map_8h_source.html#l00191">CVC3::ExprMap< Data >::end()</a>.</p>
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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a1f78d51287d2a25282a94b7bb09d7932"></a><!-- doxytag: member="CVC3::TheoryArithNew::isIntegerThm" ref="a1f78d51287d2a25282a94b7bb09d7932" args="(const Expr &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::isIntegerThm </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Check the term t for integrality. </p>
<dl class="return"><dt><b>Returns:</b></dt><dd>a theorem of IS_INTEGER(t) or Null. </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00068">68</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01259">CVC3::Expr::getType()</a>, <a class="el" href="theory__arith_8h_source.html#l00053">CVC3::IS_INTEGER</a>, and <a class="el" href="theory__arith_8h_source.html#l00173">CVC3::isReal()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01168">processFiniteInterval()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01541">rafineIntegerConstraints()</a>.</p>
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<a class="anchor" id="aedd0b63568ada4ac3ddbc515e882a617"></a><!-- doxytag: member="CVC3::TheoryArithNew::isIntegerDerive" ref="aedd0b63568ada4ac3ddbc515e882a617" args="(const Expr &isIntE, const Theorem &thm)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::isIntegerDerive </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>isIntE</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em> </td>
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<td></td><td><code> [private]</code></td>
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<p>A helper method for <a class="el" href="classCVC3_1_1TheoryArithNew.html#a1f78d51287d2a25282a94b7bb09d7932" title="Check the term t for integrality.">isIntegerThm()</a> </p>
<p>Check if IS_INTEGER(e) is easily derivable from the given 'thm' </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00076">76</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l00421">CVC3::Expr::isAnd()</a>, and <a class="el" href="theorem_8h_source.html#l00164">CVC3::Theorem::isNull()</a>.</p>
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<a class="anchor" id="a89696e5cdd27e0e15711a7b9a027c205"></a><!-- doxytag: member="CVC3::TheoryArithNew::kidsCanonical" ref="a89696e5cdd27e0e15711a7b9a027c205" args="(const Expr &e)" -->
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<td class="memname">bool TheoryArithNew::kidsCanonical </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Check if the kids of e are fully simplified and canonized (for debugging) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00094">94</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr__stream_8cpp_source.html#l00353">std::endl()</a>, and <a class="el" href="debug_8h_source.html#l00406">IF_DEBUG</a>.</p>
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<a class="anchor" id="a453194ac83f105514a4d95fca44bd08e"></a><!-- doxytag: member="CVC3::TheoryArithNew::canon" ref="a453194ac83f105514a4d95fca44bd08e" args="(const Expr &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::canon </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [private, virtual]</code></td>
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<p>Canonize the expression e, assuming all children are canonical. </p>
<p>Compute a canonical form for expression e and return a theorem that e is equal to its canonical form. Note that canonical form for arith expressions is of the following form:</p>
<p>b + a_1 x_1 + a_2 x_2 + ... + a_n x_n (ONE SUM EXPRESION)</p>
<p>or just a rational b (RATIONAL EXPRESSION)</p>
<p>where a_i and b are rationals and x_i are arithmetical leaves (i.e. variables or non arithmetic terms)</p>
<dl class="author"><dt><b>Author:</b></dt><dd>Clark Barrett </dd>
<dd>
Vijay Ganesh </dd></dl>
<dl class="since"><dt><b>Since:</b></dt><dd>Sat Feb 8 14:46:32 2003 </dd></dl>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a78442f767c7ce9eef62df74af29178d6">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00123">123</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00045">CVC3::DIVIDE</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00043">CVC3::MINUS</a>, <a class="el" href="theory__arith_8h_source.html#l00044">CVC3::MULT</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory__arith_8h_source.html#l00046">CVC3::POW</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="theory__arith_8h_source.html#l00041">CVC3::UMINUS</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03600">pivotRule()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01168">processFiniteInterval()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01570">rewrite()</a>.</p>
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<a class="anchor" id="aeb8051f2049c78b1b007e274288fcc3b"></a><!-- doxytag: member="CVC3::TheoryArithNew::canonSimplify" ref="aeb8051f2049c78b1b007e274288fcc3b" args="(const Expr &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::canonSimplify </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Canonize and reduce e w.r.t. union-find database; assume all children are canonical. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00246">246</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="expr_8h_source.html#l01232">CVC3::Expr::hasFind()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8h_source.html#l00155">canonSimplify()</a>.</p>
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<a class="anchor" id="a2a7779383e5e73671e5b29978f106c0d"></a><!-- doxytag: member="CVC3::TheoryArithNew::canonSimplify" ref="a2a7779383e5e73671e5b29978f106c0d" args="(const Theorem &thm)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::TheoryArithNew::canonSimplify </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em></td><td>)</td>
<td><code> [inline, private]</code></td>
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<p>Composition of <a class="el" href="classCVC3_1_1TheoryArithNew.html#aeb8051f2049c78b1b007e274288fcc3b" title="Canonize and reduce e w.r.t. union-find database; assume all children are canonical.">canonSimplify(const Expr&)</a> by transitivity: take e0 = e1, canonize and simplify e1 to e2, return e0 = e2. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00155">155</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="theory__arith__new_8cpp_source.html#l00246">canonSimplify()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, and <a class="el" href="theory_8h_source.html#l00681">CVC3::Theory::transitivityRule()</a>.</p>
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<a class="anchor" id="a48756ab6f45691b827fc4e5545651778"></a><!-- doxytag: member="CVC3::TheoryArithNew::canonPred" ref="a48756ab6f45691b827fc4e5545651778" args="(const Theorem &thm)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::canonPred </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Canonize predicate (x = y, x < y, etc.) </p>
<p>accepts a theorem, canonizes it, applies iffMP and substituvity to derive the canonized thm </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00279">279</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01183">CVC3::Expr::getOp()</a>, and <a class="el" href="theorem_8h_source.html#l00404">CVC3::Theorem::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01168">processFiniteInterval()</a>.</p>
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<a class="anchor" id="a18e20adf514c858e9cfeb535e545fb06"></a><!-- doxytag: member="CVC3::TheoryArithNew::canonPredEquiv" ref="a18e20adf514c858e9cfeb535e545fb06" args="(const Theorem &thm)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::canonPredEquiv </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Canonize predicate like canonPred except that the input theorem is an equivalent transformation.</p>
<p>Accepts an equivalence theorem, canonizes the subexpressions, applies transitivity and substituvity to derive the canonized theorem.</p>
<dl><dt><b>Parameters:</b></dt><dd>
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<tr><td class="paramname">thm</td><td>equivalence theorem </td></tr>
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</dd>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the canonised expression theorem </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00295">295</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="expr_8h_source.html#l01183">CVC3::Expr::getOp()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, and <a class="el" href="theorem_8h_source.html#l00404">CVC3::Theorem::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01468">normalize()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01570">rewrite()</a>.</p>
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<a class="anchor" id="ab43a4690bbc1cbe62a368efa7816de4a"></a><!-- doxytag: member="CVC3::TheoryArithNew::doSolve" ref="ab43a4690bbc1cbe62a368efa7816de4a" args="(const Theorem &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::doSolve </td>
<td>(</td>
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<td class="paramname"><em>thm</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Solve an equation and return an equivalent <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> in the solved form. </p>
<p>Pseudo-code for doSolve. (Input is an equation) (output is a <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>)</p>
<ol type="1">
<li>translate e to the form e' = 0</li>
<li>if (e'.<a class="el" href="namespaceCVC3.html#ac0334a083d6782caa17ca0d337fddddf">isRational()</a>) then {if e' != 0 return false else true}</li>
<li>a for loop checks if all the variables are integers.<ul>
<li>if not isolate a suitable real variable and call <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5cc134d71df3e702dc3785072f4d5bb3" title="processes equalities with 1 or more vars of type REAL">processRealEq()</a>.</li>
<li>if all variables are integers then isolate suitable variable and call <a class="el" href="classCVC3_1_1TheoryArithNew.html#afdcb8dc50f957161f878c563f09a48b3" title="processes equalities whose vars are all of type INT">processIntEq()</a>. </li>
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<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00331">331</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="debug_8h_source.html#l00406">IF_DEBUG</a>, <a class="el" href="expr_8h_source.html#l00431">CVC3::Expr::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theorem_8cpp_source.html#l00224">CVC3::Theorem::isRewrite()</a>, <a class="el" href="minisat__heap_8h_source.html#l00054">MiniSat::right()</a>, <a class="el" href="theorem_8h_source.html#l00404">CVC3::Theorem::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01805">solve()</a>.</p>
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<a class="anchor" id="a1e1a47d2be625ad62ac79da63678dc26"></a><!-- doxytag: member="CVC3::TheoryArithNew::canonConjunctionEquiv" ref="a1e1a47d2be625ad62ac79da63678dc26" args="(const Theorem &thm)" -->
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<td class="paramname"><em>thm</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>takes in a conjunction equivalence Thm and canonizes it. </p>
<p>accepts an equivalence theorem whose RHS is a conjunction, canonizes it, applies iffMP and substituvity to derive the canonized thm </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00318">318</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
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<a class="anchor" id="a7e1ffe57de5017f1a3bc83aa3a6163a7"></a><!-- doxytag: member="CVC3::TheoryArithNew::pickIntEqMonomial" ref="a7e1ffe57de5017f1a3bc83aa3a6163a7" args="(const Expr &right)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Expr.html">Expr</a> TheoryArithNew::pickIntEqMonomial </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>right</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>picks the monomial with the smallest abs(coeff) from the input </p>
<p>pick a monomial for the input equation. This function is used only if the equation is an integer equation. Choose the monomial with the smallest absolute value of coefficient. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00388">388</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="cvc__util_8h_source.html#l00053">CVC3::abs()</a>, <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="minisat__global_8h_source.html#l00058">MiniSat::min()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
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<a class="anchor" id="a5cc134d71df3e702dc3785072f4d5bb3"></a><!-- doxytag: member="CVC3::TheoryArithNew::processRealEq" ref="a5cc134d71df3e702dc3785072f4d5bb3" args="(const Theorem &eqn)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::processRealEq </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>eqn</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>processes equalities with 1 or more vars of type REAL </p>
<p>input is e1=e2<==>0=e' <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> and some of the vars in e' are of type REAL. isolate one of them and send back to framework. output is "e1=e2 <==> var = e''" <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00420">420</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="theorem_8cpp_source.html#l00240">CVC3::Theorem::getLHS()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00173">CVC3::isReal()</a>, <a class="el" href="minisat__heap_8h_source.html#l00053">MiniSat::left()</a>, <a class="el" href="minisat__heap_8h_source.html#l00054">MiniSat::right()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="theorem_8h_source.html#l00404">CVC3::Theorem::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="afdcb8dc50f957161f878c563f09a48b3"></a><!-- doxytag: member="CVC3::TheoryArithNew::processIntEq" ref="afdcb8dc50f957161f878c563f09a48b3" args="(const Theorem &eqn)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::processIntEq </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>eqn</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>processes equalities whose vars are all of type INT </p>
<p>input is e1=e2<==>0=e' <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> and all of the vars in e' are of type INT. isolate one of them and send back to framework. output is "e1=e2 <==> var = e''" <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> and some associated equations in solved form. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00642">642</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l00421">CVC3::Expr::isAnd()</a>, <a class="el" href="expr_8h_source.html#l00355">CVC3::Expr::isFalse()</a>, <a class="el" href="theorem_8cpp_source.html#l00224">CVC3::Theorem::isRewrite()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="a25d8be2e57c83d2e810ee815fae992d7"></a><!-- doxytag: member="CVC3::TheoryArithNew::processSimpleIntEq" ref="a25d8be2e57c83d2e810ee815fae992d7" args="(const Theorem &eqn)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::processSimpleIntEq </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>eqn</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>One step of INT equality processing (aux. method for <a class="el" href="classCVC3_1_1TheoryArithNew.html#afdcb8dc50f957161f878c563f09a48b3" title="processes equalities whose vars are all of type INT">processIntEq()</a>) </p>
<dl><dt><b>Parameters:</b></dt><dd>
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<tr><td class="paramname">eqn</td><td>is a single equation 0 = e </td></tr>
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<dl class="return"><dt><b>Returns:</b></dt><dd>an equivalent <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> (x = t AND 0 = e'), or just x = t </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00507">507</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theorem_8cpp_source.html#l00240">CVC3::Theorem::getLHS()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="expr_8h_source.html#l00421">CVC3::Expr::isAnd()</a>, <a class="el" href="theory__quant_8cpp_source.html#l03731">isIntx()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theorem_8h_source.html#l00164">CVC3::Theorem::isNull()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="expr_8h_source.html#l00431">CVC3::Expr::isRational()</a>, <a class="el" href="theorem_8cpp_source.html#l00224">CVC3::Theorem::isRewrite()</a>, <a class="el" href="minisat__heap_8h_source.html#l00054">MiniSat::right()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="a210dc18f7e0df0a95ff00292e9dacdbc"></a><!-- doxytag: member="CVC3::TheoryArithNew::isolateVariable" ref="a210dc18f7e0df0a95ff00292e9dacdbc" args="(const Theorem &inputThm, bool &e1)" -->
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<p>Take an inequality and isolate a variable. </p>
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<a class="anchor" id="af80703576d25418c16a5a187e8bcd0ef"></a><!-- doxytag: member="CVC3::TheoryArithNew::updateStats" ref="af80703576d25418c16a5a187e8bcd0ef" args="(const Rational &c, const Expr &var)" -->
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<td class="memname">void TheoryArithNew::updateStats </td>
<td>(</td>
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<p>Update the statistics counters for the variable with a coeff. c. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00808">808</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">CVC3::Rational::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<td class="memname">void TheoryArithNew::updateStats </td>
<td>(</td>
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<td class="paramname"><em>monomial</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Update the statistics counters for the monomial. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00821">821</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>.</p>
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<a class="anchor" id="a4aa91ab5d33db7fbcaf1eb5e327f64f9"></a><!-- doxytag: member="CVC3::TheoryArithNew::addToBuffer" ref="a4aa91ab5d33db7fbcaf1eb5e327f64f9" args="(const Theorem &thm)" -->
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<td class="paramname"><em>thm</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Add an inequality to the input buffer. See also d_buffer. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00829">829</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="a5d94da8150af4d31977b695bfeac4801"></a><!-- doxytag: member="CVC3::TheoryArithNew::pickMonomial" ref="a5d94da8150af4d31977b695bfeac4801" args="(const Expr &right)" -->
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<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>right</em></td><td>)</td>
<td><code> [private]</code></td>
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<a class="anchor" id="a420591a664c53906e735b528f7dc2c94"></a><!-- doxytag: member="CVC3::TheoryArithNew::separateMonomial" ref="a420591a664c53906e735b528f7dc2c94" args="(const Expr &e, Expr &c, Expr &var)" -->
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<td class="paramname"><em>var</em> </td>
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<p>Separate monomial e = c*p1*...*pn into c and 1*p1*...*pn. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#aa1298a20a1dcddd2be2aa7d591909d2c">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00944">944</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="expr_8h_source.html#l01162">CVC3::Expr::getKids()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="expr_8h_source.html#l00431">CVC3::Expr::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00207">CVC3::multExpr()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01330">findRationalBound()</a>.</p>
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<a class="anchor" id="a8e6e4c763da5203506a4ccc89d884655"></a><!-- doxytag: member="CVC3::TheoryArithNew::isInteger" ref="a8e6e4c763da5203506a4ccc89d884655" args="(const Expr &e)" -->
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<p>Check the term t for integrality (return bool) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00189">189</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>References <a class="el" href="theory__arith__new_8cpp_source.html#l00068">isIntegerThm()</a>, and <a class="el" href="theorem_8h_source.html#l00164">CVC3::Theorem::isNull()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01399">assignVariables()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02868">checkSatInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01936">computeType()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02150">print()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01168">processFiniteInterval()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01226">processFiniteIntervals()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01805">solve()</a>.</p>
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<a class="anchor" id="ad34845d9afc0b2091a4e07d6ee805066"></a><!-- doxytag: member="CVC3::TheoryArithNew::lessThanVar" ref="ad34845d9afc0b2091a4e07d6ee805066" args="(const Expr &isolatedVar, const Expr &var2)" -->
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<td class="memname">bool TheoryArithNew::lessThanVar </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
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<td class="paramname"><em>var2</em> </td>
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<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00932">932</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
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<a class="anchor" id="a2597ed8fe8f3cae03240a2064d516c88"></a><!-- doxytag: member="CVC3::TheoryArithNew::isStale" ref="a2597ed8fe8f3cae03240a2064d516c88" args="(const Expr &e)" -->
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<td class="memname">bool CVC3::TheoryArithNew::isStale </td>
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<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Check if the term expression is "stale". </p>
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<a class="anchor" id="a6c182b83ba6d8d60557dfa19446fb9da"></a><!-- doxytag: member="CVC3::TheoryArithNew::isStale" ref="a6c182b83ba6d8d60557dfa19446fb9da" args="(const Ineq &ineq)" -->
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<td class="memname">bool CVC3::TheoryArithNew::isStale </td>
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<td class="paramname"><em>ineq</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Check if the inequality is "stale" or subsumed. </p>
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<a class="anchor" id="ab4e8d03929cc1b660d29d94c3adf3fcc"></a><!-- doxytag: member="CVC3::TheoryArithNew::projectInequalities" ref="ab4e8d03929cc1b660d29d94c3adf3fcc" args="(const Theorem &theInequality, bool isolatedVarOnRHS)" -->
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<td class="memname">void CVC3::TheoryArithNew::projectInequalities </td>
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<td></td><td><code> [private]</code></td>
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<a class="anchor" id="ac327959d7f9b67467862643c33ff89c1"></a><!-- doxytag: member="CVC3::TheoryArithNew::assignVariables" ref="ac327959d7f9b67467862643c33ff89c1" args="(std::vector< Expr > &v)" -->
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<td class="memname">void TheoryArithNew::assignVariables </td>
<td>(</td>
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<td class="paramname"><em>v</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01399">1399</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory_8cpp_source.html#l00162">CVC3::Theory::assignValue()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00135">d_graph</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01348">findBounds()</a>, <a class="el" href="theory_8h_source.html#l00503">CVC3::Theory::findExpr()</a>, <a class="el" href="theory_8cpp_source.html#l00097">CVC3::Theory::inconsistent()</a>, <a class="el" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">CVC3::Rational::isInteger()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="expr_8h_source.html#l00431">CVC3::Expr::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00156">CVC3::TheoryArith::rat()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00998">CVC3::TheoryArithNew::VarOrderGraph::selectSmallest()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01433">computeModelBasic()</a>.</p>
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<a class="anchor" id="abb05a7ed953b9b3ac71497c44826c743"></a><!-- doxytag: member="CVC3::TheoryArithNew::findRationalBound" ref="abb05a7ed953b9b3ac71497c44826c743" args="(const Expr &varSide, const Expr &ratSide, const Expr &var, Rational &r)" -->
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<td class="paramname"><em>var</em>, </td>
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<td class="paramtype"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> & </td>
<td class="paramname"><em>r</em> </td>
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<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01330">1330</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory_8h_source.html#l00503">CVC3::Theory::findExpr()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00944">separateMonomial()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01348">findBounds()</a>.</p>
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<a class="anchor" id="ad2690ef89c8acd959a9238c4f0bc0a57"></a><!-- doxytag: member="CVC3::TheoryArithNew::findBounds" ref="ad2690ef89c8acd959a9238c4f0bc0a57" args="(const Expr &e, Rational &lub, Rational &glb)" -->
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em>, </td>
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<td class="paramname"><em>glb</em> </td>
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<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01348">1348</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr__map_8h_source.html#l00173">CVC3::ExprMap< Data >::count()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00091">d_inequalitiesLeftDB</a>, <a class="el" href="theory__arith__new_8h_source.html#l00089">d_inequalitiesRightDB</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01330">findRationalBound()</a>, <a class="el" href="theory__arith_8h_source.html#l00186">CVC3::isLT()</a>, <a class="el" href="minisat__heap_8h_source.html#l00053">MiniSat::left()</a>, <a class="el" href="minisat__heap_8h_source.html#l00054">MiniSat::right()</a>, <a class="el" href="cdlist_8h_source.html#l00064">CVC3::CDList< T >::size()</a>, <a class="el" href="expr__map_8h_source.html#l00171">CVC3::ExprMap< Data >::size()</a>, <a class="el" href="classCVC3_1_1Rational.html#a195c125a76cb9a6c5731369e244a2de3">CVC3::Rational::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01399">assignVariables()</a>.</p>
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<a class="anchor" id="a9c096e8707864d1a0ecde75bd58cf424"></a><!-- doxytag: member="CVC3::TheoryArithNew::normalizeProjectIneqs" ref="a9c096e8707864d1a0ecde75bd58cf424" args="(const Theorem &ineqThm1, const Theorem &ineqThm2)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::TheoryArithNew::normalizeProjectIneqs </td>
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<a class="anchor" id="a6a01623e613f46e0d8f2de1a05262ec2"></a><!-- doxytag: member="CVC3::TheoryArithNew::solvedForm" ref="a6a01623e613f46e0d8f2de1a05262ec2" args="(const std::vector< Theorem > &solvedEqs)" -->
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<p>Take a system of equations and turn it into a solved form. </p>
<p>Takes a vector of equations and for every equation x_i=t_i substitutes t_j for x_j in t_i for all j>i. This turns the system of equations into a solved form.</p>
<p>Assumption: variables x_j may appear in the RHS terms t_i ONLY for i<j, but not for i>=j. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00681">681</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr__map_8h_source.html#l00190">CVC3::ExprMap< Data >::begin()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="expr__map_8h_source.html#l00191">CVC3::ExprMap< Data >::end()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="debug_8h_source.html#l00406">IF_DEBUG</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="debug_8h_source.html#l00414">TRACE_MSG</a>.</p>
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<p>Substitute all vars in term 't' according to the substitution 'subst' and canonize the result. </p>
<p>ASSUMPTION: 't' is a fully canonized arithmetic term, and every element of subst is a fully canonized equation of the form x=e, indexed by the LHS variable. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00736">736</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr__map_8h_source.html#l00170">CVC3::ExprMap< Data >::empty()</a>, <a class="el" href="expr__map_8h_source.html#l00191">CVC3::ExprMap< Data >::end()</a>, <a class="el" href="expr__map_8h_source.html#l00194">CVC3::ExprMap< Data >::find()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::substAndCanonize </td>
<td>(</td>
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<p>Substitute all vars in the RHS of the equation 'eq' of the form (x = t) according to the substitution 'subst', and canonize the result. </p>
<p>ASSUMPTION: 't' is a fully canonized equation of the form x = t, and so is every element of subst, indexed by the LHS variable. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00787">787</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="expr__map_8h_source.html#l00170">CVC3::ExprMap< Data >::empty()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theorem_8cpp_source.html#l00224">CVC3::Theorem::isRewrite()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
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<a class="anchor" id="a437f70ccbf4e58ba40b4b9a067b224f1"></a><!-- doxytag: member="CVC3::TheoryArithNew::collectVars" ref="a437f70ccbf4e58ba40b4b9a067b224f1" args="(const Expr &e, std::vector< Expr > &vars, std::set< Expr > &cache)" -->
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<td class="paramname"><em>cache</em> </td>
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<p>Traverse 'e' and push all the i-leaves into 'vars' vector. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01155">1155</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, and <a class="el" href="theory_8h_source.html#l00556">CVC3::Theory::isLeaf()</a>.</p>
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<td class="memname">void TheoryArithNew::processFiniteInterval </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>alphaLEax</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>bxLEbeta</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Check if alpha <= ax & bx <= beta is a finite interval for integer var 'x', and assert the corresponding constraint. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01168">1168</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00609">beta</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00123">canon()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00279">canonPred()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory_8cpp_source.html#l00128">CVC3::Theory::enqueueFact()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a5d419e48b93820624e356ba33efef27c">CVC3::ArithProofRules::finiteInterval()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00068">isIntegerThm()</a>, <a class="el" href="theory__arith_8h_source.html#l00187">CVC3::isLE()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="expr_8h_source.html#l00431">CVC3::Expr::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a70e83cfbc207a5d15fedd4adde7e9e76">CVC3::ArithProofRules::multIneqn()</a>, <a class="el" href="theory__arith_8h_source.html#l00156">CVC3::TheoryArith::rat()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01226">processFiniteIntervals()</a>.</p>
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<a class="anchor" id="aa2a249c2877aa16d3517a6cca9992216"></a><!-- doxytag: member="CVC3::TheoryArithNew::processFiniteIntervals" ref="aa2a249c2877aa16d3517a6cca9992216" args="(const Expr &x)" -->
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<td class="memname">void TheoryArithNew::processFiniteIntervals </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>For an integer var 'x', find and process all constraints A <= ax <= A+c. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01226">1226</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00091">d_inequalitiesLeftDB</a>, <a class="el" href="theory__arith__new_8h_source.html#l00089">d_inequalitiesRightDB</a>, <a class="el" href="expr__map_8h_source.html#l00191">CVC3::ExprMap< Data >::end()</a>, <a class="el" href="expr__map_8h_source.html#l00194">CVC3::ExprMap< Data >::find()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01168">processFiniteInterval()</a>, and <a class="el" href="cdlist_8h_source.html#l00064">CVC3::CDList< T >::size()</a>.</p>
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<a class="anchor" id="a251086c30f2a7939e6d624d4a4cd8db4"></a><!-- doxytag: member="CVC3::TheoryArithNew::setupRec" ref="a251086c30f2a7939e6d624d4a4cd8db4" args="(const Expr &e)" -->
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<td class="memname">void TheoryArithNew::setupRec </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Recursive setup for isolated inequalities (and other new expressions) </p>
<p>This function recursively decends expression tree <b>without caching</b> until it hits a node that is already setup. Be careful on what expressions you are calling it. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01252">1252</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr_8h_source.html#l01232">CVC3::Expr::hasFind()</a>, <a class="el" href="theory_8h_source.html#l00673">CVC3::Theory::reflexivityRule()</a>, <a class="el" href="expr_8h_source.html#l01416">CVC3::Expr::setEqNext()</a>, <a class="el" href="expr_8h_source.html#l01405">CVC3::Expr::setFind()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01734">setup()</a>.</p>
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<a class="anchor" id="ac92f7d2a8db02ccf23fe15302dee278d"></a><!-- doxytag: member="CVC3::TheoryArithNew::createProofRules" ref="ac92f7d2a8db02ccf23fe15302dee278d" args="()" -->
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<td class="memname"><a class="el" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a> * TheoryArithNew::createProofRules </td>
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<p>Definition at line <a class="el" href="arith__theorem__producer_8cpp_source.html#l00043">43</a> of file <a class="el" href="arith__theorem__producer_8cpp_source.html">arith_theorem_producer.cpp</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01055">TheoryArithNew()</a>.</p>
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<a class="anchor" id="a73bfa7842e5dfb1bbcf540b6a0ce49c8"></a><!-- doxytag: member="CVC3::TheoryArithNew::addSharedTerm" ref="a73bfa7842e5dfb1bbcf540b6a0ce49c8" args="(const Expr &e)" -->
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<td class="memname">void TheoryArithNew::addSharedTerm </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [virtual]</code></td>
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<p>Keep track of all finitely bounded integer variables in shared terms.</p>
<p>When a new shared term t is reported, all of its variables x1...xn are added to the set d_sharedVars.</p>
<p>For each newly added variable x, check all of its opposing inequalities, find out all the finite bounds and assert the corresponding GRAY_SHADOW constraints.</p>
<p>When projecting integer inequalities, the database d_sharedVars is consulted, and if the variable is in it, check the shadows for being a finite interval, and produce the additional GRAY_SHADOW constraints. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#ae3c23943703bddf1f6f642a4b3ff9503">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01282">1282</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00113">d_sharedTerms</a>.</p>
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<a class="anchor" id="ad083c5101196d8ea5aecf48dc00a9341"></a><!-- doxytag: member="CVC3::TheoryArithNew::assertFact" ref="ad083c5101196d8ea5aecf48dc00a9341" args="(const Theorem &e)" -->
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<td class="memname">void TheoryArithNew::assertFact </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [virtual]</code></td>
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<p>Assert a new fact to the decision procedure. </p>
<p>Each fact that makes it into the core framework is assigned to exactly one theory: the theory associated with that fact. assertFact is called to inform the theory that a new fact has been assigned to the theory. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#aef5c0f3d486b56abdd8e488b5b6ede6e">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03138">3138</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00631">assertedExpr</a>, <a class="el" href="theory__arith__new_8h_source.html#l00633">assertedExprCount</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02814">assertEqual()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00527">consistent</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="theory__arith__new_8h_source.html#l00530">explanation</a>, <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00502">intVariables</a>, <a class="el" href="theory__arith_8h_source.html#l00192">CVC3::isIneq()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="theory_8h_source.html#l00556">CVC3::Theory::isLeaf()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a1ebae10d65430ab1a3a14c866af93de6">CVC3::ArithProofRules::oneElimination()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00639">propagate</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l04000">propagateTheory()</a>, <a class="el" href="theory_8h_source.html#l00673">CVC3::Theory::reflexivityRule()</a>, <a class="el" href="theory_8cpp_source.html#l00103">CVC3::Theory::setInconsistent()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03343">tableauxAsString()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="queryresult_8h_source.html#l00038">CVC3::UNKNOWN</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03365">unsatAsString()</a>, <a class="el" href="queryresult_8h_source.html#l00036">CVC3::UNSATISFIABLE</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03859">updateFreshVariables()</a>.</p>
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<a class="anchor" id="a3dafcfa8f6451023a83ce69c53fac641"></a><!-- doxytag: member="CVC3::TheoryArithNew::refineCounterExample" ref="a3dafcfa8f6451023a83ce69c53fac641" args="()" -->
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<td class="memname">void TheoryArithNew::refineCounterExample </td>
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<td><code> [virtual]</code></td>
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<p>Process disequalities from the arrangement for model generation. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#aa438bb4c5ceaeca9b2bb692d725d6ce8">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01298">1298</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory_8cpp_source.html#l00148">CVC3::Theory::addSplitter()</a>, <a class="el" href="cdmap_8h_source.html#l00257">CVC3::CDMap< Key, Data, HashFcn >::begin()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00048">d_inModelCreation</a>, <a class="el" href="theory__arith__new_8h_source.html#l00113">d_sharedTerms</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="cdmap_8h_source.html#l00258">CVC3::CDMap< Key, Data, HashFcn >::end()</a>, <a class="el" href="expr_8h_source.html#l00929">CVC3::Expr::eqExpr()</a>, <a class="el" href="theory_8h_source.html#l00503">CVC3::Theory::findExpr()</a>, <a class="el" href="theory_8cpp_source.html#l00383">CVC3::Theory::getBaseType()</a>, <a class="el" href="expr_8h_source.html#l01259">CVC3::Expr::getType()</a>, <a class="el" href="theory__arith_8h_source.html#l00173">CVC3::isReal()</a>, <a class="el" href="theory_8h_source.html#l00430">CVC3::Theory::simplifyExpr()</a>, <a class="el" href="type_8h_source.html#l00080">CVC3::Type::toString()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="a7d73feef91b15cb086f6d1b7a7bd19c2"></a><!-- doxytag: member="CVC3::TheoryArithNew::computeModelBasic" ref="a7d73feef91b15cb086f6d1b7a7bd19c2" args="(const std::vector< Expr > &v)" -->
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<td class="memname">void TheoryArithNew::computeModelBasic </td>
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<td class="paramname"><em>v</em></td><td>)</td>
<td><code> [virtual]</code></td>
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<p>Assign concrete values to basic-type variables in v. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#abb0dc7f8453ab4327aca42a9bd394ca2">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01433">1433</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8cpp_source.html#l01399">assignVariables()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00048">d_inModelCreation</a>, <a class="el" href="theory_8h_source.html#l00503">CVC3::Theory::findExpr()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="a5c9f6212127845ff56f5c88aff72d49a"></a><!-- doxytag: member="CVC3::TheoryArithNew::computeModel" ref="a5c9f6212127845ff56f5c88aff72d49a" args="(const Expr &e, std::vector< Expr > &vars)" -->
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<td class="memname">void TheoryArithNew::computeModel </td>
<td>(</td>
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<td class="paramname"><em>vars</em> </td>
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<p>Compute the value of a compound variable from the more primitive ones. </p>
<p>The more primitive variables for e are already assigned concrete values, and are available through <a class="el" href="classCVC3_1_1Theory.html#a4867f332c809f6efe8f01ffa45c32db3" title="Fetch the concrete assignment to the variable during model generation.">getModelValue()</a>.</p>
<p>The new value for e must be assigned using <a class="el" href="classCVC3_1_1Theory.html#a917b117d28514f486b296568fcd1cfd1" title="Assigns t a concrete value val. Used in model generation.">assignValue()</a> method.</p>
<dl><dt><b>Parameters:</b></dt><dd>
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<tr><td class="paramname">vars</td><td>are the variables actually assigned. Normally, 'e' is the only element of vars. However, e.g. in the case of uninterpreted functions, assigning 'f' means assigning all relevant applications of 'f' to constant values (f(0), f(5), etc.). Such applications might not be known before the model is constructed (they may be of the form f(x), f(y+z), etc., where x,y,z are still unassigned).</td></tr>
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<p>Populating 'vars' is an opportunity for a DP to change the set of top-level "variables" to assign, if needed. In particular, it may drop 'e' from the model entirely, if it is already a concrete value by itself. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#af775fc35d6a629ec19e2ffb67ff19dd4">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01456">1456</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory_8cpp_source.html#l00162">CVC3::Theory::assignValue()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory_8h_source.html#l00503">CVC3::Theory::findExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theory_8cpp_source.html#l00119">CVC3::Theory::simplify()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
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<a class="anchor" id="af7b2bbb0c854bab9488a19b1d3072cb5"></a><!-- doxytag: member="CVC3::TheoryArithNew::checkSat" ref="af7b2bbb0c854bab9488a19b1d3072cb5" args="(bool fullEffort)" -->
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<p>Check for satisfiability in the theory. </p>
<dl><dt><b>Parameters:</b></dt><dd>
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<tr><td class="paramname">fullEffort</td><td>when it is false, checkSat can do as much or as little work as it likes, though simple inferences and checks for consistency should be done to increase efficiency. If fullEffort is true, checkSat must check whether the set of facts given by assertFact together with the arrangement of shared terms (provided by addSharedTerm) induced by the global find database equivalence relation are satisfiable. If satisfiable, checkSat does nothing.</td></tr>
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<p>If satisfiability can be acheived by merging some of the shared terms, a new fact must be enqueued using enqueueFact (this fact need not be a literal). If there is no way to make things satisfiable, setInconsistent must be called. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a1a93522e582d9381e461972125984ea4">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02830">2830</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00631">assertedExpr</a>, <a class="el" href="theory__arith__new_8h_source.html#l00633">assertedExprCount</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00527">consistent</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00530">explanation</a>, <a class="el" href="queryresult_8h_source.html#l00033">CVC3::SATISFIABLE</a>, <a class="el" href="theory_8cpp_source.html#l00103">CVC3::Theory::setInconsistent()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="queryresult_8h_source.html#l00036">CVC3::UNSATISFIABLE</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03859">updateFreshVariables()</a>.</p>
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<a class="anchor" id="adf76a677d3133da1fb3e8cf33ba26cc9"></a><!-- doxytag: member="CVC3::TheoryArithNew::rewrite" ref="adf76a677d3133da1fb3e8cf33ba26cc9" args="(const Expr &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::rewrite </td>
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<p>Theory-specific rewrite rules. </p>
<p>By default, rewrite just returns a reflexive theorem stating that the input expression is equivalent to itself. However, rewrite is allowed to return any theorem which describes how the input expression is equivalent to some new expression. rewrite should be used to perform simplifications, normalization, and any other preprocessing on theory-specific expressions that needs to be done. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#aaa06e89f76f2313953a35d867c33942f">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01570">1570</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l00945">CVC3::andExpr()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00123">canon()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a225fe511e6f654f313048e86c1550510">CVC3::ArithProofRules::canonPlus()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00295">canonPredEquiv()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a8dd6bb6fed9a4745469b0cad5ed4a139">CVC3::ArithProofRules::constPredicate()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a24ea340651805e648d7180debad17225">CVC3::ArithProofRules::dummyTheorem()</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a646e312e12d5d23dca0c4db39d2c9fb9">CVC3::ArithProofRules::eqToIneq()</a>, <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="theory__arith_8h_source.html#l00227">CVC3::geExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="theory__arith_8h_source.html#l00053">CVC3::IS_INTEGER</a>, <a class="el" href="expr_8h_source.html#l00406">CVC3::Expr::isAbsLiteral()</a>, <a class="el" href="expr_8cpp_source.html#l00550">CVC3::Expr::isAtomic()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="expr_8h_source.html#l01021">CVC3::Expr::isTerm()</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00223">CVC3::leExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#aee47bda46999143ea29d7d4ff0be89d4">CVC3::ArithProofRules::negatedInequality()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01468">normalize()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00813">NORMALIZE_UNIT</a>, <a class="el" href="kinds_8h_source.html#l00066">NOT</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a0fa920a2a5cfa4419dbde10b1d913687">CVC3::ArithProofRules::plusPredicate()</a>, <a class="el" href="theory__arith_8h_source.html#l00156">CVC3::TheoryArith::rat()</a>, <a class="el" href="theory_8h_source.html#l00673">CVC3::Theory::reflexivityRule()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#acde77bf4aa73ff6b9a079b372ed7cc51">CVC3::ArithProofRules::rightMinusLeft()</a>, <a class="el" href="expr_8h_source.html#l01457">CVC3::Expr::setRewriteNormal()</a>, <a class="el" href="theory_8cpp_source.html#l00119">CVC3::Theory::simplify()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory_8cpp_source.html#l00252">CVC3::Theory::theoryOf()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="theory_8h_source.html#l00681">CVC3::Theory::transitivityRule()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01769">update()</a>.</p>
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<a class="anchor" id="a36a8c831cfe356a9e779988cae3e101c"></a><!-- doxytag: member="CVC3::TheoryArithNew::setup" ref="a36a8c831cfe356a9e779988cae3e101c" args="(const Expr &e)" -->
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<td class="memname">void TheoryArithNew::setup </td>
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<p>Set up the term e for call-backs when e or its children change. </p>
<p>setup is called once for each expression associated with the theory. It is typically used to setup theory-specific data for an expression and to add call-back information for use with update. </p>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="classCVC3_1_1TheoryArithNew.html#a3790410296752fded1074ce1b808598b" title="Notify a theory of a new equality.">update</a> </dd></dl>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a76e011a1d78cac54d5bd87ad1b51ccb7">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01734">1734</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8cpp_source.html#l00517">CVC3::Expr::addToNotify()</a>, <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="cvc__util_8h_source.html#l00046">CVC3::int2string()</a>, <a class="el" href="expr_8h_source.html#l00419">CVC3::Expr::isEq()</a>, <a class="el" href="theory__arith_8h_source.html#l00192">CVC3::isIneq()</a>, <a class="el" href="theory__arith_8h_source.html#l00194">CVC3::isIntPred()</a>, <a class="el" href="expr_8h_source.html#l00420">CVC3::Expr::isNot()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="expr_8h_source.html#l01021">CVC3::Expr::isTerm()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01252">setupRec()</a>.</p>
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<a class="anchor" id="a3790410296752fded1074ce1b808598b"></a><!-- doxytag: member="CVC3::TheoryArithNew::update" ref="a3790410296752fded1074ce1b808598b" args="(const Theorem &e, const Expr &d)" -->
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<td class="memname">void TheoryArithNew::update </td>
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<td>)</td>
<td></td><td><code> [virtual]</code></td>
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<p>Notify a theory of a new equality. </p>
<p>update is a call-back used by the notify mechanism of the core theory. It works as follows. When an equation t1 = t2 makes it into the core framework, the two find equivalence classes for t1 and t2 are merged. The result is that t2 is the new equivalence class representative and t1 is no longer an equivalence class representative. When this happens, the notify list of t1 is traversed. Notify list entries consist of a theory and an expression d. For each entry (i,d), i->update(e, d) is called, where e is the theorem corresponding to the equality t1=t2.</p>
<p>To add the entry (i,d) to a term t1's notify list, a call must be made to t1.addNotify(i,d). This is typically done in setup.</p>
<dl class="see"><dt><b>See also:</b></dt><dd><a class="el" href="classCVC3_1_1TheoryArithNew.html#a36a8c831cfe356a9e779988cae3e101c" title="Set up the term e for call-backs when e or its children change.">setup</a> </dd></dl>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a065b02fa3e5ea7bf335b94ae42102cad">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01769">1769</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory_8cpp_source.html#l00142">CVC3::Theory::assertEqualities()</a>, <a class="el" href="theory__arith_8cpp_source.html#l00257">CVC3::TheoryArith::canonSimp()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory_8cpp_source.html#l00128">CVC3::Theory::enqueueFact()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theory_8h_source.html#l00096">CVC3::Theory::getCommonRules()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theorem_8cpp_source.html#l00240">CVC3::Theorem::getLHS()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="expr_8h_source.html#l01232">CVC3::Expr::hasFind()</a>, <a class="el" href="debug_8h_source.html#l00406">IF_DEBUG</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="theory_8cpp_source.html#l00097">CVC3::Theory::inconsistent()</a>, <a class="el" href="theory__arith_8h_source.html#l00192">CVC3::isIneq()</a>, <a class="el" href="theory_8cpp_source.html#l00557">CVC3::Theory::leavesAreSimp()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01570">rewrite()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="theory_8h_source.html#l00681">CVC3::Theory::transitivityRule()</a>, and <a class="el" href="theory_8h_source.html#l00582">CVC3::Theory::trueExpr()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>.</p>
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<a class="anchor" id="a35ee82710c965d845aecbe6320f2ae38"></a><!-- doxytag: member="CVC3::TheoryArithNew::solve" ref="a35ee82710c965d845aecbe6320f2ae38" args="(const Theorem &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::solve </td>
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<p>An optional solver. </p>
<p>The solve method can be used to implement a Shostak-style solver. Since solvers do not in general combine, the following technique is used. One theory is designated as the primary solver (in our case, it is the theory of arithmetic). For each equation that enters the core framework, the primary solver is called to ensure that the equation is in solved form with respect to the primary theory.</p>
<p>After the primary solver, the solver for the theory associated with the equation is called. This solver can do whatever it likes, as long as the result is still in solved form with respect to the primary solver. This is a slight generalization of what is described in my (Clark)'s PhD thesis. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a79b7f024bad6bbac7520517071957404">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01805">1805</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00331">doSolve()</a>, <a class="el" href="theorem_8cpp_source.html#l00240">CVC3::Theorem::getLHS()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="expr_8h_source.html#l01259">CVC3::Expr::getType()</a>, <a class="el" href="theory__arith_8h_source.html#l00153">CVC3::TheoryArith::intType()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="theory_8h_source.html#l00556">CVC3::Theory::isLeaf()</a>, <a class="el" href="theory_8cpp_source.html#l00546">CVC3::Theory::isLeafIn()</a>, <a class="el" href="theorem_8cpp_source.html#l00224">CVC3::Theorem::isRewrite()</a>, <a class="el" href="expr_8h_source.html#l01021">CVC3::Expr::isTerm()</a>, and <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>.</p>
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<p>A debug check used by the primary solver. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#ae84d7601b3361fe773127a73194160f9">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01878">1878</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
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<p>Check that e is a valid <a class="el" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> expr. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#afb944017844bcb9681fa4c223d7e7f8d">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01884">1884</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory_8h_source.html#l00090">CVC3::Theory::getEM()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00038">CVC3::INT</a>, <a class="el" href="theory__arith_8h_source.html#l00178">CVC3::isIntegerConst()</a>, <a class="el" href="theory__arith_8h_source.html#l00037">CVC3::REAL</a>, <a class="el" href="theory__arith_8h_source.html#l00039">CVC3::SUBRANGE</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
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<td class="memname"><a class="el" href="namespaceCVC3.html#af969e724f8b7016909f5804e8cea3e54">Cardinality</a> TheoryArithNew::finiteTypeInfo </td>
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<p>Compute information related to finiteness of types. </p>
<p>Used by the TypeComputer defined in <a class="el" href="classCVC3_1_1TheoryCore.html" title="This theory handles the built-in logical connectives plus equality. It also handles the registration ...">TheoryCore</a> (theories should not call this funtion directly -- they should use the methods in <a class="el" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> instead). Each theory should implement this if it contains any types that could be non-infinite.</p>
<p>1. Returns Cardinality of the type (finite, infinite, or unknown) 2. If cardinality = finite and enumerate is true, sets e to the nth element of the type if it can sets e to NULL if n is out of bounds or if unable to compute nth element 3. If cardinality = finite and computeSize is true, sets n to the size of the type if it can sets n to 0 otherwise </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a56b40e5b07a5f409415f343013fb478b">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01908">1908</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l00081">CVC3::CARD_FINITE</a>, <a class="el" href="expr_8h_source.html#l00082">CVC3::CARD_INFINITE</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="classCVC3_1_1Rational.html#ae6d4bedf76175b8f91283f610b3eb7d0">CVC3::Rational::getUnsigned()</a>, <a class="el" href="theory__arith_8h_source.html#l00156">CVC3::TheoryArith::rat()</a>, and <a class="el" href="theory__arith_8h_source.html#l00039">CVC3::SUBRANGE</a>.</p>
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<a class="anchor" id="a86fdcfbc819885dac3640dcf68472554"></a><!-- doxytag: member="CVC3::TheoryArithNew::computeType" ref="a86fdcfbc819885dac3640dcf68472554" args="(const Expr &e)" -->
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<td class="memname">void TheoryArithNew::computeType </td>
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<p>Compute and store the type of e. </p>
<dl><dt><b>Parameters:</b></dt><dd>
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<tr><td class="paramname">e</td><td>is the expression whose type is computed.</td></tr>
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<p>This function computes the type of the top-level operator of e, and recurses into children using getType(), if necessary. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a6abf2a3ab02d2242d7ff0673df934405">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01936">1936</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory_8h_source.html#l00576">CVC3::Theory::boolType()</a>, <a class="el" href="theory__arith_8h_source.html#l00073">CVC3::TheoryArith::d_intType</a>, <a class="el" href="theory__arith_8h_source.html#l00072">CVC3::TheoryArith::d_realType</a>, <a class="el" href="theory__arith_8h_source.html#l00054">CVC3::DARK_SHADOW</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00045">CVC3::DIVIDE</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="theory_8cpp_source.html#l00383">CVC3::Theory::getBaseType()</a>, <a class="el" href="theory_8h_source.html#l00090">CVC3::Theory::getEM()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="expr__manager_8cpp_source.html#l00405">CVC3::ExprManager::getKindName()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="expr_8h_source.html#l01259">CVC3::Expr::getType()</a>, <a class="el" href="theory__arith_8h_source.html#l00055">CVC3::GRAY_SHADOW</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="theory__arith_8h_source.html#l00053">CVC3::IS_INTEGER</a>, <a class="el" href="theory__arith_8h_source.html#l00174">CVC3::isInt()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">CVC3::Rational::isInteger()</a>, <a class="el" href="expr_8h_source.html#l00431">CVC3::Expr::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="theory__arith_8h_source.html#l00043">CVC3::MINUS</a>, <a class="el" href="theory__arith_8h_source.html#l00044">CVC3::MULT</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory__arith_8h_source.html#l00046">CVC3::POW</a>, <a class="el" href="kinds_8h_source.html#l00037">RATIONAL_EXPR</a>, <a class="el" href="theory__arith_8h_source.html#l00033">CVC3::REAL_CONST</a>, <a class="el" href="expr_8h_source.html#l01427">CVC3::Expr::setType()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="type_8h_source.html#l00080">CVC3::Type::toString()</a>, and <a class="el" href="theory__arith_8h_source.html#l00041">CVC3::UMINUS</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1Type.html">Type</a> TheoryArithNew::computeBaseType </td>
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<p>Compute the base type of the top-level operator of an arbitrary type. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a1f99b1033faaf9b5911edcd667872ac7">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02018">2018</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="type_8h_source.html#l00052">CVC3::Type::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="debug_8h_source.html#l00406">IF_DEBUG</a>, <a class="el" href="theory__arith_8h_source.html#l00038">CVC3::INT</a>, <a class="el" href="theory__arith_8h_source.html#l00037">CVC3::REAL</a>, <a class="el" href="theory__arith_8h_source.html#l00152">CVC3::TheoryArith::realType()</a>, <a class="el" href="theory__arith_8h_source.html#l00039">CVC3::SUBRANGE</a>, and <a class="el" href="type_8h_source.html#l00080">CVC3::Type::toString()</a>.</p>
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<a class="anchor" id="adb72936111e69a1ab0e032cc017ee2db"></a><!-- doxytag: member="CVC3::TheoryArithNew::computeModelTerm" ref="adb72936111e69a1ab0e032cc017ee2db" args="(const Expr &e, std::vector< Expr > &v)" -->
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<td class="memname">void TheoryArithNew::computeModelTerm </td>
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<p>Add variables from 'e' to 'v' for constructing a concrete model. </p>
<p>If e is already of primitive type, do NOT add it to v. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a73c222d70c5bbfc539041095df6a8321">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01833">1833</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="theory__arith_8h_source.html#l00045">CVC3::DIVIDE</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="theory_8h_source.html#l00503">CVC3::Theory::findExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theory__arith_8h_source.html#l00044">CVC3::MULT</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory__arith_8h_source.html#l00046">CVC3::POW</a>, <a class="el" href="kinds_8h_source.html#l00037">RATIONAL_EXPR</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="a46272039047747962cdfbb34d6e54476"></a><!-- doxytag: member="CVC3::TheoryArithNew::computeTypePred" ref="a46272039047747962cdfbb34d6e54476" args="(const Type &t, const Expr &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Expr.html">Expr</a> TheoryArithNew::computeTypePred </td>
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<td class="paramname"><em>t</em>, </td>
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<td class="paramname"><em>e</em> </td>
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<td></td><td><code> [virtual]</code></td>
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<p><a class="el" href="classCVC3_1_1Theory.html" title="Base class for theories.">Theory</a> specific computation of the subtyping predicate for type t applied to the expression e. </p>
<p>By default returns true. Each theory needs to compute subtype predicates for the types associated with it. So, for example, the theory of records will take a record type [# f1: T1, f2: T2 #] and an expression e and will return the subtyping predicate for e, namely: computeTypePred(T1, e.f1) AND computeTypePred(T2, e.f2) </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a3b37be00ae123493d74dfd6269bb587a">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01860">1860</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l00945">CVC3::andExpr()</a>, <a class="el" href="expr_8h_source.html#l01156">CVC3::Expr::getEM()</a>, <a class="el" href="type_8h_source.html#l00052">CVC3::Type::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theory__arith_8h_source.html#l00038">CVC3::INT</a>, <a class="el" href="theory__arith_8h_source.html#l00053">CVC3::IS_INTEGER</a>, <a class="el" href="theory__arith_8h_source.html#l00223">CVC3::leExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00039">CVC3::SUBRANGE</a>, and <a class="el" href="expr__manager_8h_source.html#l00280">CVC3::ExprManager::trueExpr()</a>.</p>
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<a class="anchor" id="aa618dbba5196953efee6954efe321ef8"></a><!-- doxytag: member="CVC3::TheoryArithNew::computeTCC" ref="aa618dbba5196953efee6954efe321ef8" args="(const Expr &e)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Expr.html">Expr</a> TheoryArithNew::computeTCC </td>
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<p>Compute and cache the TCC of e. </p>
<dl><dt><b>Parameters:</b></dt><dd>
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<tr><td class="paramname">e</td><td>is an expression (term or formula). This function computes the TCC of e which is true iff the expression is defined.</td></tr>
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<p>This function computes the TCC or predicate of the top-level operator of e, and recurses into children using <a class="el" href="classCVC3_1_1Theory.html#af38bdeb162a9ab9bd81ce40f598f608f" title="Compute the TCC of e, or the subtyping predicate, if e is a type.">getTCC()</a>, if necessary.</p>
<p>The default implementation is to compute TCCs recursively for all children, and return their conjunction. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a076c8333b4e8ce62955e1c0701975487">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02025">2025</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l00941">CVC3::Expr::andExpr()</a>, <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory_8cpp_source.html#l00081">CVC3::Theory::computeTCC()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00045">CVC3::DIVIDE</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, and <a class="el" href="theory__arith_8h_source.html#l00156">CVC3::TheoryArith::rat()</a>.</p>
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<a class="anchor" id="a01afc8056a17c0412af99b3c33bace20"></a><!-- doxytag: member="CVC3::TheoryArithNew::print" ref="a01afc8056a17c0412af99b3c33bace20" args="(ExprStream &os, const Expr &e)" -->
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<p>Theory-specific pretty-printing. </p>
<p>By default, print the top node in AST, and resume pretty-printing the children. The same call e.print(os) can be used in DP-specific printers to use AST printing for the given node. In fact, it is strongly recommended to add e.print(os) as the default for all the cases/kinds that are not handled by the particular pretty-printer. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a879d4967986103b989d7003dd815783f">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02150">2150</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="theory__arith_8h_source.html#l00054">CVC3::DARK_SHADOW</a>, <a class="el" href="theory__arith_8h_source.html#l00045">CVC3::DIVIDE</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00055">CVC3::GRAY_SHADOW</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="theory__arith_8h_source.html#l00038">CVC3::INT</a>, <a class="el" href="theory__arith_8h_source.html#l00053">CVC3::IS_INTEGER</a>, <a class="el" href="theory__arith_8h_source.html#l00174">CVC3::isInt()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="expr__stream_8h_source.html#l00165">CVC3::ExprStream::lang()</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="lang_8h_source.html#l00036">CVC3::LISP_LANG</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="theory__arith_8h_source.html#l00043">CVC3::MINUS</a>, <a class="el" href="theory__arith_8h_source.html#l00044">CVC3::MULT</a>, <a class="el" href="theory__arith_8h_source.html#l00034">CVC3::NEGINF</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory__arith_8h_source.html#l00035">CVC3::POSINF</a>, <a class="el" href="theory__arith_8h_source.html#l00046">CVC3::POW</a>, <a class="el" href="lang_8h_source.html#l00032">CVC3::PRESENTATION_LANG</a>, <a class="el" href="expr_8cpp_source.html#l00362">CVC3::Expr::print()</a>, <a class="el" href="expr_8cpp_source.html#l00400">CVC3::Expr::printAST()</a>, <a class="el" href="theory__arith_8cpp_source.html#l00054">CVC3::TheoryArith::printRational()</a>, <a class="el" href="expr__stream_8cpp_source.html#l00298">CVC3::push()</a>, <a class="el" href="kinds_8h_source.html#l00037">RATIONAL_EXPR</a>, <a class="el" href="theory__arith_8h_source.html#l00037">CVC3::REAL</a>, <a class="el" href="theory__arith_8h_source.html#l00033">CVC3::REAL_CONST</a>, <a class="el" href="lang_8h_source.html#l00043">CVC3::SIMPLIFY_LANG</a>, <a class="el" href="lang_8h_source.html#l00034">CVC3::SMTLIB_LANG</a>, <a class="el" href="lang_8h_source.html#l00052">CVC3::SMTLIB_V2_LANG</a>, <a class="el" href="expr__stream_8cpp_source.html#l00326">CVC3::space()</a>, <a class="el" href="theory__arith_8h_source.html#l00039">CVC3::SUBRANGE</a>, <a class="el" href="lang_8h_source.html#l00046">CVC3::TPTP_LANG</a>, and <a class="el" href="theory__arith_8h_source.html#l00041">CVC3::UMINUS</a>.</p>
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<p>Theory-specific parsing implemented by the DP. </p>
<p>Implements <a class="el" href="classCVC3_1_1TheoryArith.html#a900379e03f4f05409fa4a60e2db4e65d">CVC3::TheoryArith</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02040">2040</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00045">CVC3::DIVIDE</a>, <a class="el" href="theory__arith_8h_source.html#l00219">CVC3::divideExpr()</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="theory__arith_8h_source.html#l00227">CVC3::geExpr()</a>, <a class="el" href="expr_8h_source.html#l01156">CVC3::Expr::getEM()</a>, <a class="el" href="theory_8h_source.html#l00090">CVC3::Theory::getEM()</a>, <a class="el" href="expr__manager_8cpp_source.html#l00412">CVC3::ExprManager::getKind()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="theory__arith_8h_source.html#l00225">CVC3::gtExpr()</a>, <a class="el" href="kinds_8h_source.html#l00046">ID</a>, <a class="el" href="theory__arith_8h_source.html#l00038">CVC3::INT</a>, <a class="el" href="theory__arith_8h_source.html#l00047">CVC3::INTDIV</a>, <a class="el" href="theory__arith_8h_source.html#l00053">CVC3::IS_INTEGER</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00223">CVC3::leExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="theory__arith_8h_source.html#l00221">CVC3::ltExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00043">CVC3::MINUS</a>, <a class="el" href="theory__arith_8h_source.html#l00205">CVC3::minusExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00048">CVC3::MOD</a>, <a class="el" href="theory__arith_8h_source.html#l00044">CVC3::MULT</a>, <a class="el" href="theory__arith_8h_source.html#l00207">CVC3::multExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00034">CVC3::NEGINF</a>, <a class="el" href="expr__manager_8h_source.html#l00454">CVC3::ExprManager::newLeafExpr()</a>, <a class="el" href="kinds_8h_source.html#l00032">NULL_KIND</a>, <a class="el" href="theory_8cpp_source.html#l00519">CVC3::Theory::parseExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory__arith_8h_source.html#l00199">CVC3::plusExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00035">CVC3::POSINF</a>, <a class="el" href="theory__arith_8h_source.html#l00046">CVC3::POW</a>, <a class="el" href="theory__arith_8h_source.html#l00216">CVC3::powExpr()</a>, <a class="el" href="kinds_8h_source.html#l00044">RAW_LIST</a>, <a class="el" href="theory__arith_8h_source.html#l00037">CVC3::REAL</a>, <a class="el" href="theory__arith_8h_source.html#l00039">CVC3::SUBRANGE</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="theory__arith_8h_source.html#l00041">CVC3::UMINUS</a>, and <a class="el" href="theory__arith_8h_source.html#l00197">CVC3::uminusExpr()</a>.</p>
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<a class="anchor" id="acf71ca1da6261f1fb8f14522613de497"></a><!-- doxytag: member="CVC3::TheoryArithNew::registerAtom" ref="acf71ca1da6261f1fb8f14522613de497" args="(const Expr &e)" -->
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<td class="memname">void TheoryArithNew::registerAtom </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [virtual]</code></td>
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<p>Registers the atom given from the core. This atoms are stored so that they can be used for theory propagation.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">e</td><td>the expression (atom) that is part of the input formula </td></tr>
</table>
</dd>
</dl>
<p>Reimplemented from <a class="el" href="group__Theory__API.html#gaae6aca3030e9857d149b8ea26c44b535">CVC3::Theory</a>.</p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03953">3953</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00651">allBounds</a>, <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="expr_8h_source.html#l00398">CVC3::Expr::isAbsAtomicFormula()</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="aeee481c90c90340e900a847fc0c8b82e"></a><!-- doxytag: member="CVC3::TheoryArithNew::deriveGomoryCut" ref="aeee481c90c90340e900a847fc0c8b82e" args="(const Expr &x_i)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::deriveGomoryCut </td>
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<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x_i</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Return a Gomory cut plane derivation of the variable $x_i$. Mixed integer Gomory cut can be constructed if </p>
<ul>
<li>
<img class="formulaInl" alt="$x_i$" src="form_180.png"/> is a integer basic variable with a non-integer value </li>
<li>
all non-basic variables in the row of <img class="formulaInl" alt="$x_i$" src="form_180.png"/> are assigned to their upper or lower bounds </li>
<li>
all the values on the right side of the row have rational values (non eps-rational values) </li>
</ul>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l04105">4105</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00340">CVC3::TheoryArithNew::EpsRational::getRational()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00502">intVariables</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02589">isBasic()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
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<a class="anchor" id="a68884e312bf69a858ed5a45979571d1a"></a><!-- doxytag: member="CVC3::TheoryArithNew::rafineIntegerConstraints" ref="a68884e312bf69a858ed5a45979571d1a" args="(const Theorem &thm)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::rafineIntegerConstraints </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Tries to rafine the integer constraint of the theorem. For example, x < 1 is rewritten as x <= 0, and x <(=) 1.5 is rewritten as x <= 1. The constraint should be in the normal form.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">thm</td><td>the derivation of the constraint </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01541">1541</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="classCVC3_1_1Rational.html#a1366320f4de558bb964c67f8aecedb36">CVC3::Rational::isInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00068">isIntegerThm()</a>, <a class="el" href="theorem_8h_source.html#l00164">CVC3::Theorem::isNull()</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a4b61e3ea9d5ac911806de95241cf35de">CVC3::ArithProofRules::rafineStrictInteger()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="theory_8h_source.html#l00681">CVC3::Theory::transitivityRule()</a>.</p>
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<a class="anchor" id="ac6fc7d06f3933010435be7f77b0022bc"></a><!-- doxytag: member="CVC3::TheoryArithNew::propagateTheory" ref="ac6fc7d06f3933010435be7f77b0022bc" args="(const Expr &assertExpr, const EpsRational &bound, const EpsRational &oldBound)" -->
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<td class="memname">void TheoryArithNew::propagateTheory </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>assertExpr</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>bound</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>oldBound</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Propagate all that is possible from given assertion and its bound </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l04000">4000</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00651">allBounds</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory_8cpp_source.html#l00128">CVC3::Theory::enqueueFact()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theory_8h_source.html#l00503">CVC3::Theory::findExpr()</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a5eaf4d106f7ce86227ab1d96ffc66b55">CVC3::ArithProofRules::implyNegatedInequality()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a9abe85f95b61d94fa308a0b15f2b2ef8">CVC3::ArithProofRules::implyWeakerInequality()</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="theorem_8h_source.html#l00404">CVC3::Theorem::toString()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00476">CVC3::TheoryArithNew::EpsRational::toString()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>.</p>
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<a class="anchor" id="a59752d5aa73e48dd1a6c133a41a3c5d4"></a><!-- doxytag: member="CVC3::TheoryArithNew::updateDependenciesAdd" ref="a59752d5aa73e48dd1a6c133a41a3c5d4" args="(const Expr &var, const Expr &sum)" -->
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<td class="memname">void TheoryArithNew::updateDependenciesAdd </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>var</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>sum</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Adds var to the dependencies sets of all the variables in the sum.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">var</td><td>the variable on the left side </td></tr>
<tr><td class="paramname">sum</td><td>the sum that defines the variable </td></tr>
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</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03873">3873</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00619">dependenciesMap</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="hash__map_8h_source.html#l00190">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::insert()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02594">pivot()</a>.</p>
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<a class="anchor" id="aa21dc626bcc3110d6f90cddfa66e7729"></a><!-- doxytag: member="CVC3::TheoryArithNew::updateDependenciesRemove" ref="aa21dc626bcc3110d6f90cddfa66e7729" args="(const Expr &var, const Expr &sum)" -->
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<td class="memname">void TheoryArithNew::updateDependenciesRemove </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>var</em>, </td>
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<td class="paramkey"></td>
<td></td>
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<td class="paramname"><em>sum</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Remove var from the dependencies sets of all the variables in the sum.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">var</td><td>the variable on the left side </td></tr>
<tr><td class="paramname">sum</td><td>the sum that defines the variable </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03886">3886</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01211">CVC3::Expr::begin()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00619">dependenciesMap</a>, <a class="el" href="expr_8h_source.html#l01217">CVC3::Expr::end()</a>, <a class="el" href="hash__map_8h_source.html#l00197">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::erase()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02594">pivot()</a>.</p>
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<a class="anchor" id="a85da313a2d543ca7343191a4cc20fa0d"></a><!-- doxytag: member="CVC3::TheoryArithNew::updateDependencies" ref="a85da313a2d543ca7343191a4cc20fa0d" args="(const Expr &oldExpr, const Expr &newExpr, const Expr &var, const Expr &skipVar)" -->
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<td class="memname">void TheoryArithNew::updateDependencies </td>
<td>(</td>
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<td class="paramname"><em>oldExpr</em>, </td>
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<td class="paramname"><em>var</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>skipVar</em> </td>
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<td>)</td>
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<p>Updates the dependencies if a right side of an expression in the tableaux is changed. For example, if oldExpr is x + y and newExpr is y + z, var will be added to the dependency list of z, and removed from the dependency list of x.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">oldExpr</td><td>the old right side of the tableaux </td></tr>
<tr><td class="paramname">newExpr</td><td>the new right side of the tableaux </td></tr>
<tr><td class="paramname">var</td><td>the variable that is defined by these two expressions </td></tr>
<tr><td class="paramname">skipVar</td><td>a variable to skip when going through the expressions </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03899">3899</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00619">dependenciesMap</a>, <a class="el" href="hash__map_8h_source.html#l00197">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::erase()</a>, <a class="el" href="hash__map_8h_source.html#l00190">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::insert()</a>, <a class="el" href="theory_8cpp_source.html#l00569">CVC3::Theory::newVar()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03524">substAndCanonizeTableaux()</a>.</p>
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<a class="anchor" id="a16a43c368ec23e06c847ae9684a98381"></a><!-- doxytag: member="CVC3::TheoryArithNew::updateFreshVariables" ref="a16a43c368ec23e06c847ae9684a98381" args="()" -->
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<td class="memname">void TheoryArithNew::updateFreshVariables </td>
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<td><code> [private]</code></td>
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<p>Update the values of variables that have appeared in the tableaux due to backtracking. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03859">3859</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00631">assertedExpr</a>, <a class="el" href="theory__arith__new_8h_source.html#l00633">assertedExprCount</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03323">updateValue()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02830">checkSat()</a>.</p>
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<a class="anchor" id="ad22fa5522add29991c72dab60da2e922"></a><!-- doxytag: member="CVC3::TheoryArithNew::updateValue" ref="ad22fa5522add29991c72dab60da2e922" args="(const Expr &var, const Expr &e)" -->
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<td class="memname">void TheoryArithNew::updateValue </td>
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<td class="paramname"><em>var</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em> </td>
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<p>Updates the value of variable var by computing the value of expression e.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">var</td><td>the variable to update </td></tr>
<tr><td class="paramname">e</td><td>the expression to compute </td></tr>
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</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03323">3323</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00609">beta</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03859">updateFreshVariables()</a>.</p>
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<a class="anchor" id="af2a4bc0a133edf66fe040d72c4e7ea01"></a><!-- doxytag: member="CVC3::TheoryArithNew::tableauxAsString" ref="af2a4bc0a133edf66fe040d72c4e7ea01" args="() const " -->
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<td class="memname">string TheoryArithNew::tableauxAsString </td>
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<p>Returns a string representation of the tableaux.</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>tableaux as string </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03343">3343</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="hash__map_8h_source.html#l00246">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::begin()</a>, <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>.</p>
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<a class="anchor" id="afbbf8a22ba662eaea65afbbcb135ff83"></a><!-- doxytag: member="CVC3::TheoryArithNew::unsatAsString" ref="afbbf8a22ba662eaea65afbbcb135ff83" args="() const " -->
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<td class="memname">string TheoryArithNew::unsatAsString </td>
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<p>Returns a string representation of the unsat variables.</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>unsat as string </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03365">3365</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>.</p>
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<a class="anchor" id="acbfcb4d92182bdf9e185661ec0fc61e0"></a><!-- doxytag: member="CVC3::TheoryArithNew::boundsAsString" ref="acbfcb4d92182bdf9e185661ec0fc61e0" args="()" -->
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<td class="memname">string TheoryArithNew::boundsAsString </td>
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<p>Returns a string representation of the current bounds.</p>
<dl class="return"><dt><b>Returns:</b></dt><dd>tableaux as string </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03388">3388</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="cdmap_8h_source.html#l00257">CVC3::CDMap< Key, Data, HashFcn >::begin()</a>, <a class="el" href="hash__map_8h_source.html#l00246">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::begin()</a>, <a class="el" href="cdmap_8h_source.html#l00258">CVC3::CDMap< Key, Data, HashFcn >::end()</a>, <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="cdmap_8h_source.html#l00190">CVC3::CDMap< Key, Data, HashFcn >::insert()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00605">lowerBound</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00476">CVC3::TheoryArithNew::EpsRational::toString()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00607">upperBound</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>.</p>
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<a class="anchor" id="ad6fc5bdbe7ed6bcd4df8543e96b2b079"></a><!-- doxytag: member="CVC3::TheoryArithNew::getVariableIntroThm" ref="ad6fc5bdbe7ed6bcd4df8543e96b2b079" args="(const Expr &leftSide)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::getVariableIntroThm </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>leftSide</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Gets the equality of the fresh variable tableaux variable corresponding to this expression. If the expression has already been asserted, the coresponding variable is returned, othervise a fresh variable is created and the theorem is returned.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">leftSide</td><td>the left side of the asserted constraint </td></tr>
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</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the equality theorem s = leftSide </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03273">3273</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00631">assertedExpr</a>, <a class="el" href="theory__arith__new_8h_source.html#l00633">assertedExprCount</a>, <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00625">freshVariables</a>, <a class="el" href="theory_8h_source.html#l00096">CVC3::Theory::getCommonRules()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="classCVC3_1_1CommonProofRules.html#aebbcd4a194e4fdca0bcd16143fb03a75">CVC3::CommonProofRules::iffMP()</a>, <a class="el" href="classCVC3_1_1CommonProofRules.html#a8a2561e9e4763460c65dbebe10d2f281">CVC3::CommonProofRules::skolemizeRewrite()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03447">substAndCanonizeModTableaux()</a>, <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03873">updateDependenciesAdd()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03323">updateValue()</a>, and <a class="el" href="classCVC3_1_1CommonProofRules.html#aab746efc9d013643bccc065affa82992">CVC3::CommonProofRules::varIntroRule()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>.</p>
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<td class="memname">const <a class="el" href="classCVC3_1_1Rational.html">Rational</a> & TheoryArithNew::findCoefficient </td>
<td>(</td>
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<td class="paramkey"></td>
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<td class="paramname"><em>expr</em> </td>
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<td>)</td>
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<p>Find the coefficient standing by the variable var in the expression expr. Expresion is expected to be in canonical form, i.e either a rational constant, an arithmetic leaf (i.e. variable or term from some other theory), (MULT rat leaf) where rat is a non-zero rational constant, leaf is an arithmetic leaf or (PLUS <img class="formulaInl" alt="$const term_0 term_1 ... term_n$" src="form_267.png"/>) where each <img class="formulaInl" alt="$term_i$" src="form_268.png"/> is either a leaf or (MULT <img class="formulaInl" alt="$rat leaf$" src="form_269.png"/>) and each leaf in <img class="formulaInl" alt="$term_i$" src="form_268.png"/> must be strictly greater than the leaf in <img class="formulaInl" alt="$term_{i+1}$" src="form_270.png"/>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">var</td><td>the variable </td></tr>
<tr><td class="paramname">expr</td><td>the expression to search in </td></tr>
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</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03043">3043</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="expr_8cpp_source.html#l00597">CVC3::compare()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="minisat__heap_8h_source.html#l00053">MiniSat::left()</a>, <a class="el" href="minisat__heap_8h_source.html#l00054">MiniSat::right()</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03038">getTableauxEntry()</a>.</p>
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<a class="anchor" id="af4eaf347e86ee4616a52676801213711"></a><!-- doxytag: member="CVC3::TheoryArithNew::isBasic" ref="af4eaf347e86ee4616a52676801213711" args="(const Expr &x) const " -->
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<p>Return true iof the given variable is basic in the tableaux, i.e. it is on the left side, expressed in terms of the non-basic variables.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>the variable to be checked </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>true if the variable is basic, false if the variable is non-basic </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02589">2589</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l04105">deriveGomoryCut()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02594">pivot()</a>.</p>
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<a class="anchor" id="a4ed9c0c6e1bfa32ead951cb6c1221f0e"></a><!-- doxytag: member="CVC3::TheoryArithNew::getTableauxEntry" ref="a4ed9c0c6e1bfa32ead951cb6c1221f0e" args="(const Expr &x_i, const Expr &x_j)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Rational.html">Rational</a> TheoryArithNew::getTableauxEntry </td>
<td>(</td>
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<td class="paramkey"></td>
<td></td>
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<td class="paramname"><em>x_j</em> </td>
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<td>)</td>
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<p>Returns the coefficient at a_ij in the current tableaux, i.e. the coefficient at x_j in the row of x_i.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x_i</td><td>a basic variable </td></tr>
<tr><td class="paramname">x_j</td><td>a non-basic variable </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the reational coefficient </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03038">3038</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8cpp_source.html#l03043">findCoefficient()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>.</p>
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<a class="anchor" id="ab19840152f3116c50edb0b6c0cc673f7"></a><!-- doxytag: member="CVC3::TheoryArithNew::pivot" ref="ab19840152f3116c50edb0b6c0cc673f7" args="(const Expr &x_r, const Expr &x_s)" -->
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<td class="memname">void TheoryArithNew::pivot </td>
<td>(</td>
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<td class="paramkey"></td>
<td></td>
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<td class="paramname"><em>x_s</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Swaps a basic variable <img class="formulaInl" alt="$x_r$" src="form_271.png"/> and a non-basic variable <img class="formulaInl" alt="$x_s$" src="form_272.png"/> such that ars <img class="formulaInl" alt="$a_{rs} \neq 0$" src="form_273.png"/>. After pivoting, <img class="formulaInl" alt="$x_s$" src="form_272.png"/> becomes basic and <img class="formulaInl" alt="$x_r$" src="form_271.png"/> becomes non-basic. The tableau is updated by replacing equation </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[x_r = \sum_{x_j \in N}{a_{rj}xj}\]" src="form_274.png"/>
</p>
<p> with </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[x_s = \frac{x_r}{a_{rs}} - \sum_{x_j \in N }{\frac{a_{rj}}{a_rs}x_j}\]" src="form_275.png"/>
</p>
<p> and this equation is used to eliminate <img class="formulaInl" alt="$x_s$" src="form_272.png"/> from the rest of the tableau by substitution.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x_r</td><td>a basic variable </td></tr>
<tr><td class="paramname">x_s</td><td>a non-basic variable </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02594">2594</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="hash__map_8h_source.html#l00197">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::erase()</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02589">isBasic()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03600">pivotRule()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03524">substAndCanonizeTableaux()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03873">updateDependenciesAdd()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03886">updateDependenciesRemove()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>.</p>
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<a class="anchor" id="abd8ac3d26ddd910cc52da9bde210e50a"></a><!-- doxytag: member="CVC3::TheoryArithNew::update" ref="abd8ac3d26ddd910cc52da9bde210e50a" args="(const Expr &x_i, const EpsRational &v)" -->
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<td class="memname">void TheoryArithNew::update </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x_i</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>v</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Sets the value of a non-basic variable <img class="formulaInl" alt="$x_i$" src="form_180.png"/> to <img class="formulaInl" alt="$v$" src="form_102.png"/> and adjusts the value of all the basic variables so that all equations remain satisfied.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x_i</td><td>a non-basic variable </td></tr>
<tr><td class="paramname">v</td><td>the value to set the variable <img class="formulaInl" alt="$x_i$" src="form_180.png"/> to </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02628">2628</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00609">beta</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00619">dependenciesMap</a>, <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03038">getTableauxEntry()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="theory__arith__new_8h_source.html#l00476">CVC3::TheoryArithNew::EpsRational::toString()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>.</p>
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<a class="anchor" id="ae9e0aad1b930137d011dbab8bf4b0874"></a><!-- doxytag: member="CVC3::TheoryArithNew::pivotAndUpdate" ref="ae9e0aad1b930137d011dbab8bf4b0874" args="(const Expr &x_i, const Expr &x_j, const EpsRational &v)" -->
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<td class="memname">void TheoryArithNew::pivotAndUpdate </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x_i</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x_j</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>v</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Pivots the basic variable <img class="formulaInl" alt="$x_i$" src="form_180.png"/> and the non-basic variable <img class="formulaInl" alt="$x_j$" src="form_276.png"/>. It also sets <img class="formulaInl" alt="$x_i$" src="form_180.png"/> to <img class="formulaInl" alt="$v$" src="form_102.png"/> and adjusts all basic variables to keep the equations satisfied.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x_i</td><td>a basic variable </td></tr>
<tr><td class="paramname">x_j</td><td>a non-basic variable </td></tr>
<tr><td class="paramname">v</td><td>the valie to assign to x_i </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02675">2675</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00609">beta</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00619">dependenciesMap</a>, <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03038">getTableauxEntry()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02594">pivot()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="theory__arith__new_8h_source.html#l00476">CVC3::TheoryArithNew::EpsRational::toString()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>.</p>
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<a class="anchor" id="a344feb254ed4f336fc0dc41a66cf232c"></a><!-- doxytag: member="CVC3::TheoryArithNew::assertUpper" ref="a344feb254ed4f336fc0dc41a66cf232c" args="(const Expr &x_i, const EpsRational &c, const Theorem &thm)" -->
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<td class="memname"><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> TheoryArithNew::assertUpper </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x_i</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>c</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Asserts a new upper bound constraint on a variable and performs a simple check for consistency (not complete).</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x_i</td><td>the variable to assert the bound on </td></tr>
<tr><td class="paramname">c</td><td>the bound to assert </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02740">2740</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="classCVC3_1_1ArithProofRules.html#ad0b23fb01a7adea349c8958059b9f7fd">CVC3::ArithProofRules::clashingBounds()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00527">consistent</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00530">explanation</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03098">getLowerBoundThm()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02589">isBasic()</a>, <a class="el" href="theory_8h_source.html#l00556">CVC3::Theory::isLeaf()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00639">propagate</a>, <a class="el" href="queryresult_8h_source.html#l00033">CVC3::SATISFIABLE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00476">CVC3::TheoryArithNew::EpsRational::toString()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="queryresult_8h_source.html#l00038">CVC3::UNKNOWN</a>, <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>, <a class="el" href="queryresult_8h_source.html#l00036">CVC3::UNSATISFIABLE</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01769">update()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00607">upperBound</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02814">assertEqual()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>.</p>
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<a class="anchor" id="aa17423f3ce290e28544a356f0977f6f8"></a><!-- doxytag: member="CVC3::TheoryArithNew::assertLower" ref="aa17423f3ce290e28544a356f0977f6f8" args="(const Expr &x_i, const EpsRational &c, const Theorem &thm)" -->
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<td class="memname"><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> TheoryArithNew::assertLower </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x_i</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>c</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em> </td>
</tr>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Asserts a new lower bound constraint on a variable and performs a simple check for consistency (not complete).</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x_i</td><td>the variable to assert the bound on </td></tr>
<tr><td class="paramname">c</td><td>the bound to assert </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02777">2777</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="classCVC3_1_1ArithProofRules.html#ad0b23fb01a7adea349c8958059b9f7fd">CVC3::ArithProofRules::clashingBounds()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00527">consistent</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00530">explanation</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03107">getUpperBoundThm()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02589">isBasic()</a>, <a class="el" href="theory_8h_source.html#l00556">CVC3::Theory::isLeaf()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00605">lowerBound</a>, <a class="el" href="theory__arith__new_8h_source.html#l00639">propagate</a>, <a class="el" href="queryresult_8h_source.html#l00033">CVC3::SATISFIABLE</a>, <a class="el" href="theory__arith__new_8h_source.html#l00476">CVC3::TheoryArithNew::EpsRational::toString()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="queryresult_8h_source.html#l00038">CVC3::UNKNOWN</a>, <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>, <a class="el" href="queryresult_8h_source.html#l00036">CVC3::UNSATISFIABLE</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01769">update()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02814">assertEqual()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>.</p>
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<a class="anchor" id="ace140a37ea260f769f4aa2756e5f22f0"></a><!-- doxytag: member="CVC3::TheoryArithNew::assertEqual" ref="ace140a37ea260f769f4aa2756e5f22f0" args="(const Expr &x_i, const EpsRational &c, const Theorem &thm)" -->
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<td class="memname"><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> TheoryArithNew::assertEqual </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x_i</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a> & </td>
<td class="paramname"><em>c</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>thm</em> </td>
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<p>Asserts a new equality constraint on a variable by asserting both upper and lower bounds.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x_i</td><td>the variable to assert the bound on </td></tr>
<tr><td class="paramname">c</td><td>the bound to assert </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02814">2814</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00527">consistent</a>, and <a class="el" href="queryresult_8h_source.html#l00036">CVC3::UNSATISFIABLE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>.</p>
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<a class="anchor" id="a48d4a6a488973f4fc79fc8d0c4d1470c"></a><!-- doxytag: member="CVC3::TheoryArithNew::computeNormalFactor" ref="a48d4a6a488973f4fc79fc8d0c4d1470c" args="(const Expr &rhs, NormalizationType type=NORMALIZE_GCD)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Expr.html">Expr</a> TheoryArithNew::computeNormalFactor </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>rhs</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">NormalizationType</a> </td>
<td class="paramname"><em>type</em> = <code>NORMALIZE_GCD</code> </td>
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<td>)</td>
<td></td><td><code> [private]</code></td>
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<p>Given a canonized term, compute a factor to make all coefficients integer and relatively prime </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00853">853</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="cvc__util_8h_source.html#l00053">CVC3::abs()</a>, <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="classCVC3_1_1Rational.html#a7c237dbba5d9f2b022d13bae3188a7e9">CVC3::Rational::getDenominator()</a>, <a class="el" href="classCVC3_1_1Rational.html#a953f2eb850fc3612097b5320dcda6047">CVC3::Rational::getNumerator()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00044">CVC3::MULT</a>, <a class="el" href="kinds_8h_source.html#l00037">RATIONAL_EXPR</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01468">normalize()</a>.</p>
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<a class="anchor" id="a243f5665943792345df52be2a94eb648"></a><!-- doxytag: member="CVC3::TheoryArithNew::normalize" ref="a243f5665943792345df52be2a94eb648" args="(const Expr &e, NormalizationType type=NORMALIZE_GCD)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::normalize </td>
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<td class="paramname"><em>e</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">NormalizationType</a> </td>
<td class="paramname"><em>type</em> = <code>NORMALIZE_GCD</code> </td>
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<td></td><td><code> [private]</code></td>
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<p>Normalize an equation (make all coefficients rel. prime integers)</p>
<p>accepts a rewrite theorem over eqn|ineqn and normalizes it and returns a theorem to that effect. assumes e is non-trivial i.e. e is not '0=const' or 'const=0' or '0 <= const' etc. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01468">1468</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8cpp_source.html#l00295">canonPredEquiv()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00853">computeNormalFactor()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="debug_8h_source.html#l00037">FatalAssert</a>, <a class="el" href="theory__arith_8h_source.html#l00052">CVC3::GE</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theory__arith_8h_source.html#l00051">CVC3::GT</a>, <a class="el" href="theory__arith_8h_source.html#l00192">CVC3::isIneq()</a>, <a class="el" href="theory__arith_8h_source.html#l00183">CVC3::isMult()</a>, <a class="el" href="theory__arith_8h_source.html#l00181">CVC3::isPlus()</a>, <a class="el" href="theory__arith_8h_source.html#l00177">CVC3::isRational()</a>, <a class="el" href="theory__arith_8h_source.html#l00050">CVC3::LE</a>, <a class="el" href="theory__arith_8h_source.html#l00049">CVC3::LT</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a70e83cfbc207a5d15fedd4adde7e9e76">CVC3::ArithProofRules::multIneqn()</a>, <a class="el" href="theory__arith_8h_source.html#l00156">CVC3::TheoryArith::rat()</a>, <a class="el" href="theory_8h_source.html#l00673">CVC3::Theory::reflexivityRule()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01537">normalize()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01570">rewrite()</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::normalize </td>
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<td class="paramname"><em>thm</em>, </td>
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<td class="paramtype"><a class="el" href="classCVC3_1_1TheoryArithNew.html#a9707c04f2d2af4812b8c18029f0368f4">NormalizationType</a> </td>
<td class="paramname"><em>type</em> = <code>NORMALIZE_GCD</code> </td>
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<p>Normalize an equation (make all coefficients rel. prime integers) accepts a rewrite theorem over eqn|ineqn and normalizes it and returns a theorem to that effect. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l01537">1537</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01468">normalize()</a>, and <a class="el" href="theory_8h_source.html#l00681">CVC3::Theory::transitivityRule()</a>.</p>
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<a class="anchor" id="a349c59e5b2eb5c2a9154f5bdeff43fde"></a><!-- doxytag: member="CVC3::TheoryArithNew::substAndCanonizeModTableaux" ref="a349c59e5b2eb5c2a9154f5bdeff43fde" args="(const Theorem &eq)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::substAndCanonizeModTableaux </td>
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<p>Canonise the equation using the tebleaux equations, i.e. replace all the tableaux right sides with the corresponding left sides and canonise the result.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">eq</td><td>the equation to canonise </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the explaining theorem </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03447">3447</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="hash__map_8h_source.html#l00222">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::empty()</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>.</p>
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<a class="anchor" id="afc88d03ab0e42f2e4e53f8c5800313ad"></a><!-- doxytag: member="CVC3::TheoryArithNew::substAndCanonizeModTableaux" ref="afc88d03ab0e42f2e4e53f8c5800313ad" args="(const Expr &sum)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::substAndCanonizeModTableaux </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>sum</em></td><td>)</td>
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<p>Canonise the sum using the tebleaux equations, i.e. replace all the tableaux right sides with the corresponding left sides and canonise the result.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">sum</td><td>the canonised sum to canonise </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the explaining theorem </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03471">3471</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory__arith_8h_source.html#l00120">CVC3::TheoryArith::canonThm()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory_8h_source.html#l00673">CVC3::Theory::reflexivityRule()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
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<a class="anchor" id="ad7d64d8e7110a9992654154b3e3613b0"></a><!-- doxytag: member="CVC3::TheoryArithNew::substAndCanonizeTableaux" ref="ad7d64d8e7110a9992654154b3e3613b0" args="(const Theorem &eq)" -->
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<td class="memname">void TheoryArithNew::substAndCanonizeTableaux </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>eq</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Sustitute the given equation everywhere in the tableaux.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">eq</td><td>the equation to use for substitution </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03524">3524</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory__arith_8h_source.html#l00120">CVC3::TheoryArith::canonThm()</a>, <a class="el" href="expr_8cpp_source.html#l00597">CVC3::compare()</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="theory__arith__new_8h_source.html#l00619">dependenciesMap</a>, <a class="el" href="hash__map_8h_source.html#l00257">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::end()</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theorem_8cpp_source.html#l00246">CVC3::Theorem::getRHS()</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="minisat__heap_8h_source.html#l00053">MiniSat::left()</a>, <a class="el" href="minisat__heap_8h_source.html#l00054">MiniSat::right()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03899">updateDependencies()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02594">pivot()</a>.</p>
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<a class="anchor" id="abebb5cee14c85657ea68c873372b14d9"></a><!-- doxytag: member="CVC3::TheoryArithNew::pivotRule" ref="abebb5cee14c85657ea68c873372b14d9" args="(const Theorem &eq, const Expr &var)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::pivotRule </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>eq</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
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<p>Given an equality eq: <img class="formulaInl" alt="$\sum a_i x_i = y$" src="form_277.png"/> and a variable $var$ that appears in on the left hand side, pivots $y$ and $var$ so that $y$ comes to the right-hand side.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">eq</td><td>the proof of the equality </td></tr>
<tr><td class="paramname">var</td><td>the variable to move to the right-hand side </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03600">3600</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l00123">canon()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="kinds_8h_source.html#l00061">EQ</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="expr_8h_source.html#l01168">CVC3::Expr::getKind()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="theory_8h_source.html#l00556">CVC3::Theory::isLeaf()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#ad62d795eb10e67c655c608774881bde3">CVC3::ArithProofRules::multEqn()</a>, <a class="el" href="theory__arith_8h_source.html#l00207">CVC3::multExpr()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a1ebae10d65430ab1a3a14c866af93de6">CVC3::ArithProofRules::oneElimination()</a>, <a class="el" href="theory__arith_8h_source.html#l00042">CVC3::PLUS</a>, <a class="el" href="theory__arith_8h_source.html#l00199">CVC3::plusExpr()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a0fa920a2a5cfa4419dbde10b1d913687">CVC3::ArithProofRules::plusPredicate()</a>, <a class="el" href="theory__arith_8h_source.html#l00156">CVC3::TheoryArith::rat()</a>, <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="theory_8h_source.html#l00681">CVC3::Theory::transitivityRule()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02594">pivot()</a>.</p>
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<a class="anchor" id="a843498f8c1a569a296822e8f1f92d675"></a><!-- doxytag: member="CVC3::TheoryArithNew::getLowerBoundExplanation" ref="a843498f8c1a569a296822e8f1f92d675" args="(const TebleauxMap::iterator &var_it)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::getLowerBoundExplanation </td>
<td>(</td>
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<p>Knowing that the tableaux row for <img class="formulaInl" alt="$x_i$" src="form_180.png"/> is the problematic one, generate the explanation clause. The variables in the row of <img class="formulaInl" alt="$x_i = \sum_{x_j \in \mathcal{N}}{a_ij x_j}$" src="form_278.png"/> are separated to </p>
<ul>
<li>
<img class="formulaInl" alt="$\mathcal{N}^+ = \left\lbrace x_j \in \mathcal{N} \; | \; a_{ij} > 0 \right\rbrace$" src="form_279.png"/> </li>
<li>
<img class="formulaInl" alt="$\mathcal{N}^- = \left\lbrace x_j \in \mathcal{N} \; | \; a_{ij} < 0\right\rbrace$" src="form_280.png"/> </li>
</ul>
<p>Then, the explanation clause to be returned is </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[\Gamma = \left\lbrace x_j \leq u_j \; | \; x_j \in \mathcal{N}^+\right\rbrace \cup \left\lbrace l_j \leq x_j \; | \; x_j \in \mathcal{N}^-\right\rbrace \cup \left\lbrace l_i \leq x_i \right\rbrace\]" src="form_281.png"/>
</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">var_it</td><td>the variable that caused the clash </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the theorem explainang the clash </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03662">3662</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="classCVC3_1_1ArithProofRules.html#ac06dd83948d0f3e474f073ecac592343">CVC3::ArithProofRules::addInequalities()</a>, <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a71be38a9fa2d89e147ac4fde35c49e21">CVC3::ArithProofRules::canonMultConstConst()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a11870b90dbfcc61d2b9a2820df7f6057">CVC3::ArithProofRules::canonMultTermConst()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a225fe511e6f654f313048e86c1550510">CVC3::ArithProofRules::canonPlus()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#ad0b23fb01a7adea349c8958059b9f7fd">CVC3::ArithProofRules::clashingBounds()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03098">getLowerBoundThm()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03107">getUpperBoundThm()</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a70e83cfbc207a5d15fedd4adde7e9e76">CVC3::ArithProofRules::multIneqn()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, and <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>.</p>
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<a class="anchor" id="a6bbd3291d090682e1c8a2cadb0d8380d"></a><!-- doxytag: member="CVC3::TheoryArithNew::getUpperBoundExplanation" ref="a6bbd3291d090682e1c8a2cadb0d8380d" args="(const TebleauxMap::iterator &var_it)" -->
<div class="memitem">
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::getUpperBoundExplanation </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classHash_1_1hash__map.html#a0fae180472ddfd8822c881caf23c11a9">TebleauxMap::iterator</a> & </td>
<td class="paramname"><em>var_it</em></td><td>)</td>
<td><code> [private]</code></td>
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<p>Knowing that the tableaux row for <img class="formulaInl" alt="$x_i$" src="form_180.png"/> is the problematic one, generate the explanation clause. The variables in the row of <img class="formulaInl" alt="$x_i = \sum_{x_j \in \mathcal{N}}{a_ij x_j}$" src="form_278.png"/> are separated to </p>
<ul>
<li>
<img class="formulaInl" alt="$\mathcal{N}^+ = \left\lbrace x_j \in \mathcal{N} \; | \; a_{ij} > 0 \right\rbrace$" src="form_279.png"/> </li>
<li>
<img class="formulaInl" alt="$\mathcal{N}^- = \left\lbrace x_j \in \mathcal{N} \; | \; a_{ij} < 0\right\rbrace$" src="form_280.png"/> </li>
</ul>
<p>Then, the explanation clause to be returned is </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[\Gamma = \left\lbrace x_j \leq u_j \; | \; x_j \in \mathcal{N}^-\right\rbrace \cup \left\lbrace l_j \leq x_j \; | \; x_j \in \mathcal{N}^+\right\rbrace \cup \left\lbrace x_i \leq u_i \right\rbrace\]" src="form_282.png"/>
</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">var_it</td><td>the variable that caused the clash </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the theorem explainang the clash </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03749">3749</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="classCVC3_1_1ArithProofRules.html#ac06dd83948d0f3e474f073ecac592343">CVC3::ArithProofRules::addInequalities()</a>, <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a71be38a9fa2d89e147ac4fde35c49e21">CVC3::ArithProofRules::canonMultConstConst()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a11870b90dbfcc61d2b9a2820df7f6057">CVC3::ArithProofRules::canonMultTermConst()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a225fe511e6f654f313048e86c1550510">CVC3::ArithProofRules::canonPlus()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#ad0b23fb01a7adea349c8958059b9f7fd">CVC3::ArithProofRules::clashingBounds()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theorem_8cpp_source.html#l00230">CVC3::Theorem::getExpr()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03098">getLowerBoundThm()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03107">getUpperBoundThm()</a>, <a class="el" href="theory_8h_source.html#l00714">CVC3::Theory::iffMP()</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a70e83cfbc207a5d15fedd4adde7e9e76">CVC3::ArithProofRules::multIneqn()</a>, <a class="el" href="theory_8h_source.html#l00686">CVC3::Theory::substitutivityRule()</a>, <a class="el" href="theory_8h_source.html#l00677">CVC3::Theory::symmetryRule()</a>, and <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>.</p>
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<a class="anchor" id="a5402887425b9a029f2ae0718c5012cb2"></a><!-- doxytag: member="CVC3::TheoryArithNew::addInequalities" ref="a5402887425b9a029f2ae0718c5012cb2" args="(const Theorem &le_1, const Theorem &le_2)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::TheoryArithNew::addInequalities </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>le_1</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>le_2</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [private]</code></td>
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<a class="anchor" id="ab67b64c7fd085bd9881aa7cef33217de"></a><!-- doxytag: member="CVC3::TheoryArithNew::checkSatSimplex" ref="ab67b64c7fd085bd9881aa7cef33217de" args="()" -->
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<td class="memname"><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> TheoryArithNew::checkSatSimplex </td>
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<td class="paramname"></td><td>)</td>
<td><code> [private]</code></td>
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<p>Check the satisfiability </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02916">2916</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="expr_8h_source.html#l01201">CVC3::Expr::arity()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00530">explanation</a>, <a class="el" href="hash__map_8h_source.html#l00171">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::find()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03662">getLowerBoundExplanation()</a>, <a class="el" href="expr_8h_source.html#l01135">CVC3::Expr::getRational()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03749">getUpperBoundExplanation()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="queryresult_8h_source.html#l00033">CVC3::SATISFIABLE</a>, <a class="el" href="hash__map_8h_source.html#l00227">Hash::hash_map< _Key, _Data, _HashFcn, _EqualKey >::size()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00622">tableaux</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03343">tableauxAsString()</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03365">unsatAsString()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>, and <a class="el" href="queryresult_8h_source.html#l00036">CVC3::UNSATISFIABLE</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02830">checkSat()</a>.</p>
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<a class="anchor" id="a7b516a72d54789b1403b8854b83aeb29"></a><!-- doxytag: member="CVC3::TheoryArithNew::checkSatInteger" ref="a7b516a72d54789b1403b8854b83aeb29" args="()" -->
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<td class="memname"><a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a> TheoryArithNew::checkSatInteger </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td><code> [private]</code></td>
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<p>Check the satisfiability of integer constraints </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l02868">2868</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00609">beta</a>, <a class="el" href="theory__arith__new_8h_source.html#l00047">d_rules</a>, <a class="el" href="theory_8cpp_source.html#l00128">CVC3::Theory::enqueueFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00325">CVC3::TheoryArithNew::EpsRational::getFloor()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00914">integer_lemma</a>, <a class="el" href="classCVC3_1_1ArithProofRules.html#a0090e0d4065efbf936ec92f0e99935e9">CVC3::ArithProofRules::integerSplit()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00502">intVariables</a>, <a class="el" href="theory__arith__new_8h_source.html#l00312">CVC3::TheoryArithNew::EpsRational::isInteger()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00189">isInteger()</a>, <a class="el" href="queryresult_8h_source.html#l00033">CVC3::SATISFIABLE</a>, <a class="el" href="kinds_8h_source.html#l00099">TRACE</a>, and <a class="el" href="queryresult_8h_source.html#l00038">CVC3::UNKNOWN</a>.</p>
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<a class="anchor" id="ad4e8b908bccb2d534552f968bd27979c"></a><!-- doxytag: member="CVC3::TheoryArithNew::getLowerBound" ref="ad4e8b908bccb2d534552f968bd27979c" args="(const Expr &x) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">TheoryArithNew::EpsRational</a> TheoryArithNew::getLowerBound </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x</em></td><td>)</td>
<td> const</td>
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<p>Gets the current lower bound on variable x.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>the variable </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the current lower bound on x </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03082">3082</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="cdmap_8h_source.html#l00258">CVC3::CDMap< Key, Data, HashFcn >::end()</a>, <a class="el" href="cdmap_8h_source.html#l00303">CVC3::CDMap< Key, Data, HashFcn >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00605">lowerBound</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00345">CVC3::TheoryArithNew::EpsRational::MinusInfinity</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03323">updateValue()</a>.</p>
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<a class="anchor" id="a7fcc9a229fd6125188d69f4bc282cdfb"></a><!-- doxytag: member="CVC3::TheoryArithNew::getUpperBound" ref="a7fcc9a229fd6125188d69f4bc282cdfb" args="(const Expr &x) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">TheoryArithNew::EpsRational</a> TheoryArithNew::getUpperBound </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x</em></td><td>)</td>
<td> const</td>
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<p>Get the current upper bound on variable x.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>the variable </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the current upper bound on x </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03090">3090</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="cdmap_8h_source.html#l00258">CVC3::CDMap< Key, Data, HashFcn >::end()</a>, <a class="el" href="cdmap_8h_source.html#l00303">CVC3::CDMap< Key, Data, HashFcn >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00343">CVC3::TheoryArithNew::EpsRational::PlusInfinity</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00607">upperBound</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03323">updateValue()</a>.</p>
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<a class="anchor" id="ab27c747e527f4e6a9f0bc39692a706af"></a><!-- doxytag: member="CVC3::TheoryArithNew::getLowerBoundThm" ref="ab27c747e527f4e6a9f0bc39692a706af" args="(const Expr &x) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::getLowerBoundThm </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
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<p>Gets the theorem of the current lower bound on variable x.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>the variable </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the current lower bound on x </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03098">3098</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="cdmap_8h_source.html#l00258">CVC3::CDMap< Key, Data, HashFcn >::end()</a>, <a class="el" href="cdmap_8h_source.html#l00303">CVC3::CDMap< Key, Data, HashFcn >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00605">lowerBound</a>, and <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03662">getLowerBoundExplanation()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03749">getUpperBoundExplanation()</a>.</p>
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<a class="anchor" id="ab41d31e40d053398a37f77a7a797c7a7"></a><!-- doxytag: member="CVC3::TheoryArithNew::getUpperBoundThm" ref="ab41d31e40d053398a37f77a7a797c7a7" args="(const Expr &x) const " -->
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> TheoryArithNew::getUpperBoundThm </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x</em></td><td>)</td>
<td> const</td>
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<p>Get the theorem of the current upper bound on variable x.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>the variable </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the current upper bound on x </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03107">3107</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="debug_8h_source.html#l00408">DebugAssert</a>, <a class="el" href="cdmap_8h_source.html#l00258">CVC3::CDMap< Key, Data, HashFcn >::end()</a>, <a class="el" href="cdmap_8h_source.html#l00303">CVC3::CDMap< Key, Data, HashFcn >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="expr_8cpp_source.html#l00344">CVC3::Expr::toString()</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00607">upperBound</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03662">getLowerBoundExplanation()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03749">getUpperBoundExplanation()</a>.</p>
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<a class="anchor" id="a41dbe160161458e73fa669fe891ec529"></a><!-- doxytag: member="CVC3::TheoryArithNew::getBeta" ref="a41dbe160161458e73fa669fe891ec529" args="(const Expr &x)" -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">TheoryArithNew::EpsRational</a> TheoryArithNew::getBeta </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Gets the current valuation of variable x (beta).</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramname">x</td><td>the variable </td></tr>
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<dl class="return"><dt><b>Returns:</b></dt><dd>the current value of variable x </dd></dl>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l03117">3117</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
<p>References <a class="el" href="theory__arith__new_8h_source.html#l00609">beta</a>, <a class="el" href="cdmap_8h_source.html#l00258">CVC3::CDMap< Key, Data, HashFcn >::end()</a>, <a class="el" href="cdmap_8h_source.html#l00303">CVC3::CDMap< Key, Data, HashFcn >::find()</a>, <a class="el" href="theory_8cpp_source.html#l00310">CVC3::Theory::find()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, <a class="el" href="theory__arith__new_8h_source.html#l00628">unsatBasicVariables</a>, and <a class="el" href="theory__arith__new_8h_source.html#l00347">CVC3::TheoryArithNew::EpsRational::Zero</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02868">checkSatInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l04105">deriveGomoryCut()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03749">getUpperBoundExplanation()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03323">updateValue()</a>.</p>
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<hr/><h2>Friends And Related Function Documentation</h2>
<a class="anchor" id="a24b0687e8f0fa36a6d5bacc8155517e2"></a><!-- doxytag: member="CVC3::TheoryArithNew::operator<<" ref="a24b0687e8f0fa36a6d5bacc8155517e2" args="(std::ostream &os, const FreeConst &fc)" -->
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<td class="memname">std::ostream& operator<< </td>
<td>(</td>
<td class="paramtype">std::ostream & </td>
<td class="paramname"><em>os</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1FreeConst.html">FreeConst</a> & </td>
<td class="paramname"><em>fc</em> </td>
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<td>)</td>
<td></td><td><code> [friend]</code></td>
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<p>Printing. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00044">44</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
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<a class="anchor" id="a588ea1b8e9435f2a0fa0fbfe028fbd28"></a><!-- doxytag: member="CVC3::TheoryArithNew::operator<<" ref="a588ea1b8e9435f2a0fa0fbfe028fbd28" args="(std::ostream &os, const Ineq &ineq)" -->
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<td class="memname">std::ostream& operator<< </td>
<td>(</td>
<td class="paramtype">std::ostream & </td>
<td class="paramname"><em>os</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a> & </td>
<td class="paramname"><em>ineq</em> </td>
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<td>)</td>
<td></td><td><code> [friend]</code></td>
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<p>Printing. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8cpp_source.html#l00054">54</a> of file <a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a>.</p>
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a7f402d265d6f783bbc4139ba3dddd9db"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_diseq" ref="a7f402d265d6f783bbc4139ba3dddd9db" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDList.html">CDList</a><<a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7f402d265d6f783bbc4139ba3dddd9db">CVC3::TheoryArithNew::d_diseq</a><code> [private]</code></td>
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<p>For concrete model generation </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00044">44</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01055">TheoryArithNew()</a>.</p>
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<a class="anchor" id="a40a1d8f8e7d2faf4ddffe3ca14a90e88"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_diseqIdx" ref="a40a1d8f8e7d2faf4ddffe3ca14a90e88" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDO.html">CDO</a><size_t> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a40a1d8f8e7d2faf4ddffe3ca14a90e88">CVC3::TheoryArithNew::d_diseqIdx</a><code> [private]</code></td>
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<p>Index to the next unprocessed disequality </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00046">46</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="a1fb30358f2875620fef664227f0d3d5e"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_rules" ref="a1fb30358f2875620fef664227f0d3d5e" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1ArithProofRules.html">ArithProofRules</a>* <a class="el" href="classCVC3_1_1TheoryArithNew.html#a1fb30358f2875620fef664227f0d3d5e">CVC3::TheoryArithNew::d_rules</a><code> [private]</code></td>
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<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00047">47</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02868">checkSatInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03662">getLowerBoundExplanation()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03749">getUpperBoundExplanation()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01468">normalize()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03600">pivotRule()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01168">processFiniteInterval()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l04000">propagateTheory()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01541">rafineIntegerConstraints()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01570">rewrite()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01055">TheoryArithNew()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01140">~TheoryArithNew()</a>.</p>
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<a class="anchor" id="ae29425ad828a82acb991db1ab50e8dd7"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_inModelCreation" ref="ae29425ad828a82acb991db1ab50e8dd7" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDO.html">CDO</a><bool> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae29425ad828a82acb991db1ab50e8dd7">CVC3::TheoryArithNew::d_inModelCreation</a><code> [private]</code></td>
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<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00048">48</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01433">computeModelBasic()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01298">refineCounterExample()</a>.</p>
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<a class="anchor" id="acb102f87cd4bcdba4d404a6951eac0aa"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_inequalitiesRightDB" ref="acb102f87cd4bcdba4d404a6951eac0aa" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1ExprMap.html">ExprMap</a><<a class="el" href="classCVC3_1_1CDList.html">CDList</a><<a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a>> *> <a class="el" href="classCVC3_1_1TheoryArithNew.html#acb102f87cd4bcdba4d404a6951eac0aa">CVC3::TheoryArithNew::d_inequalitiesRightDB</a><code> [private]</code></td>
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<p>Database of inequalities with a variable isolated on the right. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00089">89</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01348">findBounds()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01226">processFiniteIntervals()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01140">~TheoryArithNew()</a>.</p>
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<a class="anchor" id="a74167d750ba8d8cc8b0ec520e8a41894"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_inequalitiesLeftDB" ref="a74167d750ba8d8cc8b0ec520e8a41894" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1ExprMap.html">ExprMap</a><<a class="el" href="classCVC3_1_1CDList.html">CDList</a><<a class="el" href="classCVC3_1_1TheoryArithNew_1_1Ineq.html">Ineq</a>> *> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a74167d750ba8d8cc8b0ec520e8a41894">CVC3::TheoryArithNew::d_inequalitiesLeftDB</a><code> [private]</code></td>
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<p>Database of inequalities with a variable isolated on the left. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00091">91</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01348">findBounds()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01226">processFiniteIntervals()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01140">~TheoryArithNew()</a>.</p>
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<a class="anchor" id="ab5a2165c11bc6867c349627682291fcf"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_freeConstDB" ref="ab5a2165c11bc6867c349627682291fcf" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="classCVC3_1_1TheoryArithNew_1_1FreeConst.html">FreeConst</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab5a2165c11bc6867c349627682291fcf">CVC3::TheoryArithNew::d_freeConstDB</a><code> [private]</code></td>
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<p>Mapping of inequalities to the largest/smallest free constant. </p>
<p>The <a class="el" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> is the original inequality with the free constant removed and inequality converted to non-strict (for indexing purposes). I.e. ax<c+t becomes ax<=t. This inequality is mapped to a pair<c,strict>, the smallest (largest for c+t<ax) constant among inequalities with the same 'a', 'x', and 't', and a boolean flag indicating whether the strongest inequality is strict. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00100">100</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="a2f0dca2d2952728c2556f8d255cfb008"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_buffer" ref="a2f0dca2d2952728c2556f8d255cfb008" args="" -->
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<p>Buffer of input inequalities. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00102">102</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01055">TheoryArithNew()</a>.</p>
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<a class="anchor" id="a9a394c94c0607e645c355489631ed690"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_bufferIdx" ref="a9a394c94c0607e645c355489631ed690" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDO.html">CDO</a><size_t> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9a394c94c0607e645c355489631ed690">CVC3::TheoryArithNew::d_bufferIdx</a><code> [private]</code></td>
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<p>Buffer index of the next unprocessed inequality. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00103">103</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01055">TheoryArithNew()</a>.</p>
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<a class="anchor" id="a2f0bafe4d3eddd28d9d9484318c17e45"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_bufferThres" ref="a2f0bafe4d3eddd28d9d9484318c17e45" args="" -->
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<td class="memname">const int* <a class="el" href="classCVC3_1_1TheoryArithNew.html#a2f0bafe4d3eddd28d9d9484318c17e45">CVC3::TheoryArithNew::d_bufferThres</a><code> [private]</code></td>
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<p>Threshold when the buffer must be processed. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00104">104</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="ad568a72b85a6bc0c70dfe14d279c9360"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_countRight" ref="ad568a72b85a6bc0c70dfe14d279c9360" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, int> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad568a72b85a6bc0c70dfe14d279c9360">CVC3::TheoryArithNew::d_countRight</a><code> [private]</code></td>
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<p>Mapping of a variable to the number of inequalities where the variable would be isolated on the right. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00108">108</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<a class="anchor" id="add35a93fae75084ae5b77f1995477c77"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_countLeft" ref="add35a93fae75084ae5b77f1995477c77" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, int> <a class="el" href="classCVC3_1_1TheoryArithNew.html#add35a93fae75084ae5b77f1995477c77">CVC3::TheoryArithNew::d_countLeft</a><code> [private]</code></td>
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<p>Mapping of a variable to the number of inequalities where the variable would be isolated on the left. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00111">111</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, bool> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a6d0b6ef62c9feb4df9c71f2c11912b54">CVC3::TheoryArithNew::d_sharedTerms</a><code> [private]</code></td>
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<p>Set of shared terms (for counterexample generation) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00113">113</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01282">addSharedTerm()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01298">refineCounterExample()</a>.</p>
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<a class="anchor" id="a7ae009f0e7ba96e071f45d9e1094c522"></a><!-- doxytag: member="CVC3::TheoryArithNew::d_sharedVars" ref="a7ae009f0e7ba96e071f45d9e1094c522" args="" -->
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<p>Set of shared integer variables (i-leaves) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00115">115</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew_1_1VarOrderGraph.html">VarOrderGraph</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#aed79ec63593f899733e76790d28d4a62">CVC3::TheoryArithNew::d_graph</a><code> [private]</code></td>
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<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00135">135</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l01399">assignVariables()</a>.</p>
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<a class="anchor" id="ae79693c72c0c7236d6d76cab2a4dcc0b"></a><!-- doxytag: member="CVC3::TheoryArithNew::intVariables" ref="ae79693c72c0c7236d6d76cab2a4dcc0b" args="" -->
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<td class="memname">std::set<<a class="el" href="classCVC3_1_1Expr.html">Expr</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae79693c72c0c7236d6d76cab2a4dcc0b">CVC3::TheoryArithNew::intVariables</a><code> [private]</code></td>
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<p>A set of all integer variables </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00502">502</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02868">checkSatInteger()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l04105">deriveGomoryCut()</a>.</p>
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<a class="anchor" id="a5d837dd76fd8ae099ace4c1e6492301d"></a><!-- doxytag: member="CVC3::TheoryArithNew::consistent" ref="a5d837dd76fd8ae099ace4c1e6492301d" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDO.html">CDO</a><<a class="el" href="namespaceCVC3.html#a060d21b3207cc3471e24f8dbcff3498b">QueryResult</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5d837dd76fd8ae099ace4c1e6492301d">CVC3::TheoryArithNew::consistent</a><code> [private]</code></td>
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<p>Are we consistent or not </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00527">527</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02814">assertEqual()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02830">checkSat()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l01055">TheoryArithNew()</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a26d56a1b473c8e770caba9f3eb85f79a">CVC3::TheoryArithNew::explanation</a><code> [private]</code></td>
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<p>The theorem explaining the inconsistency </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00530">530</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02830">checkSat()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>.</p>
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<a class="anchor" id="a9fd0d5eca20607172cb8260a02296e74"></a><!-- doxytag: member="CVC3::TheoryArithNew::lowerBound" ref="a9fd0d5eca20607172cb8260a02296e74" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="structCVC3_1_1TheoryArithNew_1_1BoundInfo.html">BoundInfo</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a9fd0d5eca20607172cb8260a02296e74">CVC3::TheoryArithNew::lowerBound</a><code> [private]</code></td>
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<p>The map from variables to lower bounds (these must be backtrackable) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00605">605</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03082">getLowerBound()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03098">getLowerBoundThm()</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="structCVC3_1_1TheoryArithNew_1_1BoundInfo.html">BoundInfo</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a485637b86fce6c4a8d53d54e286d2eb8">CVC3::TheoryArithNew::upperBound</a><code> [private]</code></td>
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<p>The map from variables to upper bounds (these must be backtrackable) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00607">607</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03090">getUpperBound()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03107">getUpperBoundThm()</a>.</p>
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<a class="anchor" id="ab75b8a7b5960850c91a39c7713fb2477"></a><!-- doxytag: member="CVC3::TheoryArithNew::beta" ref="ab75b8a7b5960850c91a39c7713fb2477" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDMap.html">CDMap</a><<a class="el" href="classCVC3_1_1Expr.html">Expr</a>, <a class="el" href="classCVC3_1_1TheoryArithNew_1_1EpsRational.html">EpsRational</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ab75b8a7b5960850c91a39c7713fb2477">CVC3::TheoryArithNew::beta</a><code> [private]</code></td>
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<p>The current real valuation of the variables (these must be backtrackable for the last succesefull checkSAT!!!) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00609">609</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02868">checkSatInteger()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01168">processFiniteInterval()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03323">updateValue()</a>.</p>
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<a class="anchor" id="a5fd6d2cc2d018a67da124ef194f178ab"></a><!-- doxytag: member="CVC3::TheoryArithNew::dependenciesMap" ref="a5fd6d2cc2d018a67da124ef194f178ab" args="" -->
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<td class="memname"><a class="el" href="classHash_1_1hash__map.html">DependenciesMap</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a5fd6d2cc2d018a67da124ef194f178ab">CVC3::TheoryArithNew::dependenciesMap</a><code> [private]</code></td>
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<p>Maps variables to sets of variables that depend on it in the tableaux </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00619">619</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03524">substAndCanonizeTableaux()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03899">updateDependencies()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03873">updateDependenciesAdd()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03886">updateDependenciesRemove()</a>.</p>
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<a class="anchor" id="ad96e0ca1cad09988822b88f82ebdc016"></a><!-- doxytag: member="CVC3::TheoryArithNew::tableaux" ref="ad96e0ca1cad09988822b88f82ebdc016" args="" -->
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<td class="memname"><a class="el" href="classHash_1_1hash__map.html">TebleauxMap</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ad96e0ca1cad09988822b88f82ebdc016">CVC3::TheoryArithNew::tableaux</a><code> [private]</code></td>
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<p>The tableaux, a map from basic variables to the expressions over the non-basic ones (theorems that explain them how we got there) </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00622">622</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03388">boundsAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03038">getTableauxEntry()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02589">isBasic()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02594">pivot()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03447">substAndCanonizeModTableaux()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03524">substAndCanonizeTableaux()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03343">tableauxAsString()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>.</p>
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<td class="memname"><a class="el" href="classHash_1_1hash__map.html">TebleauxMap</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ac7d4a8110239f9c2d6f17c7a46a69d6e">CVC3::TheoryArithNew::freshVariables</a><code> [private]</code></td>
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<p>Additional tableaux map from expressions asserted to the corresponding theorems explaining the introduction of the new variables </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00625">625</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>.</p>
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<a class="anchor" id="a3accb9cf21e2168036e7b365649820fa"></a><!-- doxytag: member="CVC3::TheoryArithNew::unsatBasicVariables" ref="a3accb9cf21e2168036e7b365649820fa" args="" -->
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<td class="memname">std::set<<a class="el" href="classCVC3_1_1Expr.html">Expr</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a3accb9cf21e2168036e7b365649820fa">CVC3::TheoryArithNew::unsatBasicVariables</a><code> [private]</code></td>
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<p>A set containing all the unsatisfied basic variables </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00628">628</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02916">checkSatSimplex()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03117">getBeta()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02675">pivotAndUpdate()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03365">unsatAsString()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02628">update()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03323">updateValue()</a>.</p>
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<a class="anchor" id="a7ff415cf3c90ddb60ff436d4b0b4c04b"></a><!-- doxytag: member="CVC3::TheoryArithNew::assertedExpr" ref="a7ff415cf3c90ddb60ff436d4b0b4c04b" args="" -->
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<td class="memname">std::vector<<a class="el" href="classCVC3_1_1Expr.html">Expr</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a7ff415cf3c90ddb60ff436d4b0b4c04b">CVC3::TheoryArithNew::assertedExpr</a><code> [private]</code></td>
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<p>The vector to keep the assignments from fresh variables to expressions they represent </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00631">631</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02830">checkSat()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03859">updateFreshVariables()</a>.</p>
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<td class="memname"><a class="el" href="classCVC3_1_1CDO.html">CDO</a><unsigned int> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a74dc050dee06beacca0e7e32b4585ec0">CVC3::TheoryArithNew::assertedExprCount</a><code> [private]</code></td>
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<p>The backtrackable number of fresh variables asserted so far </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00633">633</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02830">checkSat()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l03273">getVariableIntroThm()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l01055">TheoryArithNew()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03859">updateFreshVariables()</a>.</p>
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<a class="anchor" id="ace61ed893b9e6d4b5e8ff19f40e9152a"></a><!-- doxytag: member="CVC3::TheoryArithNew::propagate" ref="ace61ed893b9e6d4b5e8ff19f40e9152a" args="" -->
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<td class="memname">bool <a class="el" href="classCVC3_1_1TheoryArithNew.html#ace61ed893b9e6d4b5e8ff19f40e9152a">CVC3::TheoryArithNew::propagate</a><code> [private]</code></td>
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<p>Internal variable to see wheather to propagate or not </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00639">639</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l03138">assertFact()</a>, <a class="el" href="theory__arith__new_8cpp_source.html#l02777">assertLower()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l02740">assertUpper()</a>.</p>
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<a class="anchor" id="ae72d6b44b420d4acb2935c00d0b01fec"></a><!-- doxytag: member="CVC3::TheoryArithNew::allBounds" ref="ae72d6b44b420d4acb2935c00d0b01fec" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1TheoryArithNew.html#a2a34551a41e235972300cd849314c472">BoundInfoSet</a> <a class="el" href="classCVC3_1_1TheoryArithNew.html#ae72d6b44b420d4acb2935c00d0b01fec">CVC3::TheoryArithNew::allBounds</a><code> [private]</code></td>
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<p>Store all the atoms from the formula in this set. It is searchable by an expression and the bound. To get all the implied atoms, one just has to go up (down) and check if the atom or it's negation are implied. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00651">651</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l04000">propagateTheory()</a>, and <a class="el" href="theory__arith__new_8cpp_source.html#l03953">registerAtom()</a>.</p>
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<a class="anchor" id="a17aa12461bb0531b62670e37499b38a0"></a><!-- doxytag: member="CVC3::TheoryArithNew::integer_lemma" ref="a17aa12461bb0531b62670e37499b38a0" args="" -->
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<td class="memname"><a class="el" href="classCVC3_1_1CDO.html">CDO</a><<a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>> <a class="el" href="classCVC3_1_1TheoryArithNew.html#a17aa12461bb0531b62670e37499b38a0">CVC3::TheoryArithNew::integer_lemma</a><code> [private]</code></td>
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<p>The last lemma that we asserted to check the integer satisfiability. We don't do checksat until the lemma split has been asserted. </p>
<p>Definition at line <a class="el" href="theory__arith__new_8h_source.html#l00914">914</a> of file <a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a>.</p>
<p>Referenced by <a class="el" href="theory__arith__new_8cpp_source.html#l02868">checkSatInteger()</a>.</p>
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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="theory__arith__new_8h_source.html">theory_arith_new.h</a></li>
<li><a class="el" href="arith__theorem__producer_8cpp_source.html">arith_theorem_producer.cpp</a></li>
<li><a class="el" href="theory__arith__new_8cpp_source.html">theory_arith_new.cpp</a></li>
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