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<div class="title">common_theorem_producer.cpp</div> </div>
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<a href="common__theorem__producer_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*****************************************************************************/</span><span class="comment"></span>
<a name="l00002"></a>00002 <span class="comment">/*!</span>
<a name="l00003"></a>00003 <span class="comment"> *\file common_theorem_producer.cpp</span>
<a name="l00004"></a>00004 <span class="comment"> *\brief Implementation of common proof rules</span>
<a name="l00005"></a>00005 <span class="comment"> *</span>
<a name="l00006"></a>00006 <span class="comment"> * Author: Clark Barrett</span>
<a name="l00007"></a>00007 <span class="comment"> *</span>
<a name="l00008"></a>00008 <span class="comment"> * Created: Wed Jan 11 16:10:15 2006</span>
<a name="l00009"></a>00009 <span class="comment"> *</span>
<a name="l00010"></a>00010 <span class="comment"> * <hr></span>
<a name="l00011"></a>00011 <span class="comment"> *</span>
<a name="l00012"></a>00012 <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span>
<a name="l00013"></a>00013 <span class="comment"> * and its documentation for any purpose is hereby granted without</span>
<a name="l00014"></a>00014 <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span>
<a name="l00015"></a>00015 <span class="comment"> * LICENSE file provided with this distribution.</span>
<a name="l00016"></a>00016 <span class="comment"> * </span>
<a name="l00017"></a>00017 <span class="comment"> * <hr></span>
<a name="l00018"></a>00018 <span class="comment"> *</span>
<a name="l00019"></a>00019 <span class="comment"> */</span>
<a name="l00020"></a>00020 <span class="comment">/*****************************************************************************/</span>
<a name="l00021"></a>00021
<a name="l00022"></a>00022
<a name="l00023"></a>00023 <span class="comment">// This code is trusted</span>
<a name="l00024"></a><a class="code" href="common__theorem__producer_8cpp.html#a8663c36bbf15bb5a0dcb01b97897fa95">00024</a> <span class="preprocessor">#define _CVC3_TRUSTED_</span>
<a name="l00025"></a>00025 <span class="preprocessor"></span>
<a name="l00026"></a>00026
<a name="l00027"></a>00027 <span class="preprocessor">#include "<a class="code" href="common__theorem__producer_8h.html">common_theorem_producer.h</a>"</span>
<a name="l00028"></a>00028
<a name="l00029"></a>00029
<a name="l00030"></a>00030 <span class="keyword">using namespace </span>CVC3;
<a name="l00031"></a>00031 <span class="keyword">using namespace </span>std;
<a name="l00032"></a>00032
<a name="l00033"></a>00033
<a name="l00034"></a>00034 <span class="comment">// The trusted method of TheoremManager which creates this theorem producer</span>
<a name="l00035"></a><a class="code" href="classCVC3_1_1TheoremManager.html#af0be44f4f9e3e746bcde0ec605f1edc9">00035</a> <a class="code" href="classCVC3_1_1CommonProofRules.html">CommonProofRules</a>* <a class="code" href="classCVC3_1_1TheoremManager.html#af0be44f4f9e3e746bcde0ec605f1edc9">TheoremManager::createProofRules</a>() {
<a name="l00036"></a>00036 <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html">CommonTheoremProducer</a>(<span class="keyword">this</span>);
<a name="l00037"></a>00037 }
<a name="l00038"></a>00038
<a name="l00039"></a>00039
<a name="l00040"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2ae31c06ed093e9b5b85f90af78641ae">00040</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2ae31c06ed093e9b5b85f90af78641ae">CommonTheoremProducer::CommonTheoremProducer</a>(<a class="code" href="classCVC3_1_1TheoremManager.html">TheoremManager</a>* tm)
<a name="l00041"></a>00041 : <a class="code" href="classCVC3_1_1TheoremProducer.html">TheoremProducer</a>(tm),
<a name="l00042"></a>00042 d_skolemized_thms(tm->getCM()->getCurrentContext()),
<a name="l00043"></a>00043 d_skolemVars(tm->getCM()->getCurrentContext())
<a name="l00044"></a>00044 {}
<a name="l00045"></a>00045
<a name="l00046"></a>00046 <span class="comment"></span>
<a name="l00047"></a>00047 <span class="comment">////////////////////////////////////////////////////////////////////////</span>
<a name="l00048"></a>00048 <span class="comment"></span><span class="comment">// TCC rules (3-valued logic)</span><span class="comment"></span>
<a name="l00049"></a>00049 <span class="comment">////////////////////////////////////////////////////////////////////////</span>
<a name="l00050"></a>00050 <span class="comment"></span>
<a name="l00051"></a>00051 <span class="comment">// G1 |- phi G2 |- D_phi</span>
<a name="l00052"></a>00052 <span class="comment">// -------------------------</span>
<a name="l00053"></a>00053 <span class="comment">// G1,G2 |-_3 phi</span>
<a name="l00054"></a>00054 <a class="code" href="classCVC3_1_1Theorem3.html" title="Theorem3.">Theorem3</a>
<a name="l00055"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a685c913a4b6b80a546dcb9853a88e21a">00055</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a685c913a4b6b80a546dcb9853a88e21a" title="Convert 2-valued formula to 3-valued by discharging its TCC ( ): .">CommonTheoremProducer::queryTCC</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& phi, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& D_phi) {
<a name="l00056"></a>00056 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00057"></a>00057 <span class="comment">// if(CHECK_PROOFS)</span>
<a name="l00058"></a>00058 <span class="comment">// CHECK_SOUND(D_phi.getExpr() == d_core->getTCC(phi.getExpr()),</span>
<a name="l00059"></a>00059 <span class="comment">// "CoreTheoremProducer::queryTCC: "</span>
<a name="l00060"></a>00060 <span class="comment">// "bad TCC for a formula:\n\n "</span>
<a name="l00061"></a>00061 <span class="comment">// +phi.getExpr().toString()</span>
<a name="l00062"></a>00062 <span class="comment">// +"\n\n TCC must be the following:\n\n "</span>
<a name="l00063"></a>00063 <span class="comment">// +d_core->getTCC(phi.getExpr()).toString()</span>
<a name="l00064"></a>00064 <span class="comment">// +"\n\nBut given this as a TCC:\n\n "</span>
<a name="l00065"></a>00065 <span class="comment">// +D_phi.getExpr().toString());</span>
<a name="l00066"></a>00066 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a = phi.<a class="code" href="classCVC3_1_1Theorem.html#a5e9ab00a613df15cc02f55edb55a67b3">getAssumptionsRef</a>();
<a name="l00067"></a>00067 a.<a class="code" href="classCVC3_1_1Assumptions.html#a72ece655220d8976c4090006eb7b0b40">add</a>(D_phi);
<a name="l00068"></a>00068 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00069"></a>00069 vector<Expr> args;
<a name="l00070"></a>00070 vector<Proof> pfs;
<a name="l00071"></a>00071 args.push_back(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>());
<a name="l00072"></a>00072 args.push_back(D_phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>());
<a name="l00073"></a>00073 pfs.push_back(phi.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00074"></a>00074 pfs.push_back(D_phi.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00075"></a>00075 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"queryTCC"</span>, args, pfs);
<a name="l00076"></a>00076 }
<a name="l00077"></a>00077 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#aec0760db9fcf381bf3886dbb1801662d">newTheorem3</a>(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), a, pf);
<a name="l00078"></a>00078 }
<a name="l00079"></a>00079
<a name="l00080"></a>00080
<a name="l00081"></a>00081 <span class="comment">// G0,a1,...,an |-_3 phi G1 |- D_a1 ... Gn |- D_an</span>
<a name="l00082"></a>00082 <span class="comment">// -------------------------------------------------</span>
<a name="l00083"></a>00083 <span class="comment">// G0,G1,...,Gn |-_3 (a1 & ... & an) -> phi</span>
<a name="l00084"></a>00084 <a class="code" href="classCVC3_1_1Theorem3.html" title="Theorem3.">Theorem3</a>
<a name="l00085"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#abf904962af8344d8646c382747837af4">00085</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#abf904962af8344d8646c382747837af4" title="3-valued implication introduction rule: ">CommonTheoremProducer::implIntro3</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem3.html" title="Theorem3.">Theorem3</a>& phi,
<a name="l00086"></a>00086 <span class="keyword">const</span> std::vector<Expr>& assump,
<a name="l00087"></a>00087 <span class="keyword">const</span> vector<Theorem>& tccs) {
<a name="l00088"></a>00088 <span class="keywordtype">bool</span> checkProofs(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>);
<a name="l00089"></a>00089 <span class="comment">// This rule only makes sense when runnnig with assumptions</span>
<a name="l00090"></a>00090 <span class="keywordflow">if</span>(checkProofs) {
<a name="l00091"></a>00091 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a32afe6d99e661b5c70082036e40d48bc" title="Testing whether to generate assumptions.">withAssumptions</a>(),
<a name="l00092"></a>00092 <span class="stringliteral">"implIntro3: called while running without assumptions"</span>);
<a name="l00093"></a>00093 }
<a name="l00094"></a>00094
<a name="l00095"></a>00095 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>& phiAssump = phi.<a class="code" href="classCVC3_1_1Theorem3.html#a3bf0a31a2adaabfd7a37d61e990fa9ea">getAssumptionsRef</a>();
<a name="l00096"></a>00096
<a name="l00097"></a>00097 <span class="keywordflow">if</span>(checkProofs) {
<a name="l00098"></a>00098 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(assump.size() == tccs.size(),
<a name="l00099"></a>00099 <span class="stringliteral">"implIntro3: number of assumptions ("</span>
<a name="l00100"></a>00100 +<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(assump.size())+<span class="stringliteral">") and number of TCCs ("</span>
<a name="l00101"></a>00101 +<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(tccs.size())
<a name="l00102"></a>00102 +<span class="stringliteral">") does not match"</span>);
<a name="l00103"></a>00103 <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i<assump.size(); i++) {
<a name="l00104"></a>00104 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm = phiAssump[assump[i]];
<a name="l00105"></a>00105 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!thm.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>() && thm.<a class="code" href="classCVC3_1_1Theorem.html#a05282db6832afb4f198d8c6b2b67aeb1">isAssump</a>(),
<a name="l00106"></a>00106 <span class="stringliteral">"implIntro3: this is not an assumption of phi:\n\n"</span>
<a name="l00107"></a>00107 <span class="stringliteral">" a["</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(i)+<span class="stringliteral">"] = "</span>+assump[i].toString()
<a name="l00108"></a>00108 +<span class="stringliteral">"\n\n phi = "</span>+phi.<a class="code" href="classCVC3_1_1Theorem3.html#a744788782cc996d5b914533fe7304352">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00109"></a>00109 <span class="comment">// CHECK_SOUND(tccs[i].getExpr() == d_core->getTCC(assump[i]),</span>
<a name="l00110"></a>00110 <span class="comment">// "implIntro3: Assumption does not match its TCC:\n\n"</span>
<a name="l00111"></a>00111 <span class="comment">// " a["+int2string(i)+"] = "+assump[i].toString()</span>
<a name="l00112"></a>00112 <span class="comment">// +" TCC(a["+int2string(i)+"]) = "</span>
<a name="l00113"></a>00113 <span class="comment">// +d_core->getTCC(assump[i]).toString()</span>
<a name="l00114"></a>00114 <span class="comment">// +"\n\n tccs["+int2string(i)+"] = "</span>
<a name="l00115"></a>00115 <span class="comment">// +tccs[i].getExpr().toString());</span>
<a name="l00116"></a>00116 }
<a name="l00117"></a>00117 }
<a name="l00118"></a>00118
<a name="l00119"></a>00119 <span class="comment">// Proof compaction: trivial derivation</span>
<a name="l00120"></a>00120 <span class="keywordflow">if</span>(assump.size() == 0) <span class="keywordflow">return</span> phi;
<a name="l00121"></a>00121
<a name="l00122"></a>00122 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(phiAssump - assump);
<a name="l00123"></a>00123 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> b(tccs);
<a name="l00124"></a>00124 a.<a class="code" href="classCVC3_1_1Assumptions.html#a72ece655220d8976c4090006eb7b0b40">add</a>(b);
<a name="l00125"></a>00125 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00126"></a>00126 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00127"></a>00127 vector<Proof> u; <span class="comment">// Proof labels for assumptions</span>
<a name="l00128"></a>00128 <span class="keywordflow">for</span>(vector<Expr>::const_iterator i=assump.begin(), iend=assump.end();
<a name="l00129"></a>00129 i!=iend; ++i) {
<a name="l00130"></a>00130 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& t = phiAssump[*i];
<a name="l00131"></a>00131 u.push_back(t.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00132"></a>00132 }
<a name="l00133"></a>00133 <span class="comment">// Arguments to the proof rule:</span>
<a name="l00134"></a>00134 <span class="comment">// impl_intro_3(phi, a1,...,an,tcc1,...tccn,pf_tcc1,...pf_tccn,</span>
<a name="l00135"></a>00135 <span class="comment">// [lambda(a1,...,an): pf_phi])</span>
<a name="l00136"></a>00136 vector<Expr> args;
<a name="l00137"></a>00137 vector<Proof> pfs;
<a name="l00138"></a>00138 args.push_back(phi.<a class="code" href="classCVC3_1_1Theorem3.html#a744788782cc996d5b914533fe7304352">getExpr</a>());
<a name="l00139"></a>00139 args.insert(args.end(), assump.begin(), assump.end());
<a name="l00140"></a>00140 <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i=tccs.begin(), iend=tccs.end();
<a name="l00141"></a>00141 i!=iend; ++i) {
<a name="l00142"></a>00142 args.push_back(i->getExpr());
<a name="l00143"></a>00143 pfs.push_back(i->getProof());
<a name="l00144"></a>00144 }
<a name="l00145"></a>00145 <span class="comment">// Lambda-abstraction of pf_phi</span>
<a name="l00146"></a>00146 pfs.push_back(<a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(u, assump, phi.<a class="code" href="classCVC3_1_1Theorem3.html#a05c74972ebc3932829fa32ca237880db">getProof</a>()));
<a name="l00147"></a>00147 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_intro_3"</span>, args, pfs);
<a name="l00148"></a>00148 }
<a name="l00149"></a>00149 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> conj(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(assump));
<a name="l00150"></a>00150 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#aec0760db9fcf381bf3886dbb1801662d">newTheorem3</a>(conj.<a class="code" href="group__ExprPkg.html#ga8dd97bcdeb9d8870238f94a263fd083b">impExpr</a>(phi.<a class="code" href="classCVC3_1_1Theorem3.html#a744788782cc996d5b914533fe7304352">getExpr</a>()), a, pf);
<a name="l00151"></a>00151 }
<a name="l00152"></a>00152
<a name="l00153"></a>00153
<a name="l00154"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a28d225c0e86bf45df3441c14a11197be">00154</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a28d225c0e86bf45df3441c14a11197be">CommonTheoremProducer::assumpRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, <span class="keywordtype">int</span> scope) {
<a name="l00155"></a>00155 <span class="comment">// TRACE("assump", "assumpRule(", e, ")");</span>
<a name="l00156"></a>00156 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00157"></a>00157 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#af4bdd16428b49f295b3d21208dffc0cd" title="Create a new proof label (bound variable) for an assumption (formula)">newLabel</a>(e);
<a name="l00158"></a>00158 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ae6f0d46a632906b24cca2d5f648ae329">newAssumption</a>(e, pf, scope);
<a name="l00159"></a>00159 }
<a name="l00160"></a>00160
<a name="l00161"></a>00161
<a name="l00162"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">00162</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">CommonTheoremProducer::reflexivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a) {
<a name="l00163"></a>00163 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a0670b7f9cfb6e1420227b5df652d6e79" title="Create a reflexivity theorem.">newReflTheorem</a>(a);
<a name="l00164"></a>00164 }
<a name="l00165"></a>00165
<a name="l00166"></a>00166
<a name="l00167"></a>00167 <span class="comment">// ==> (a == a) IFF TRUE</span>
<a name="l00168"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a26b00cb395f45971ace24a4529189e1b">00168</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a26b00cb395f45971ace24a4529189e1b" title="==> (a == a) IFF TRUE">CommonTheoremProducer::rewriteReflexivity</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& t) {
<a name="l00169"></a>00169 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00170"></a>00170 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>((t.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>() || t.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>()) && t[0] == t[1],
<a name="l00171"></a>00171 <span class="stringliteral">"rewriteReflexivity: wrong expression: "</span>
<a name="l00172"></a>00172 + t.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00173"></a>00173 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00174"></a>00174 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00175"></a>00175 <span class="keywordflow">if</span>(t.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>()) {
<a name="l00176"></a>00176 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t[0].getType().isNull(),
<a name="l00177"></a>00177 <span class="stringliteral">"rewriteReflexivity: t[0] has no type: "</span>
<a name="l00178"></a>00178 + t[0].toString());
<a name="l00179"></a>00179 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_eq_refl"</span>, t[0].getType().getExpr(), t[0]);
<a name="l00180"></a>00180 } <span class="keywordflow">else</span>
<a name="l00181"></a>00181 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_iff_refl"</span>, t[0]);
<a name="l00182"></a>00182 }
<a name="l00183"></a>00183 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(t, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00184"></a>00184 }
<a name="l00185"></a>00185
<a name="l00186"></a>00186
<a name="l00187"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab269d27c05584ade0b1f86f2ced0c46a">00187</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab269d27c05584ade0b1f86f2ced0c46a" title=" (same for IFF)">CommonTheoremProducer::symmetryRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& a1_eq_a2) {
<a name="l00188"></a>00188 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00189"></a>00189 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),
<a name="l00190"></a>00190 (<span class="stringliteral">"CVC3::CommonTheoremProducer: "</span>
<a name="l00191"></a>00191 <span class="stringliteral">"theorem is not an equality or iff:\n "</span>
<a name="l00192"></a>00192 + a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()).c_str());
<a name="l00193"></a>00193 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>();
<a name="l00194"></a>00194 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a2 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();
<a name="l00195"></a>00195
<a name="l00196"></a>00196 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;<span class="comment"></span>
<a name="l00197"></a>00197 <span class="comment"> /////////////////////////////////////////////////////////////////////////</span>
<a name="l00198"></a>00198 <span class="comment"> //// Proof compaction</span>
<a name="l00199"></a>00199 <span class="comment"> /////////////////////////////////////////////////////////////////////////</span>
<a name="l00200"></a>00200 <span class="comment"></span> <span class="comment">// If a1 == a2, use reflexivity</span>
<a name="l00201"></a>00201 <span class="keywordflow">if</span>(a1 == a2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(a1);
<a name="l00202"></a>00202 <span class="comment">// Otherwise, do the work</span>
<a name="l00203"></a>00203 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00204"></a>00204 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = a1.getType();
<a name="l00205"></a>00205 <span class="comment">// Check the types</span>
<a name="l00206"></a>00206 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();)
<a name="l00207"></a>00207 <span class="keywordtype">bool</span> isEquality = !t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();
<a name="l00208"></a>00208 <span class="keywordflow">if</span>(isEquality) {
<a name="l00209"></a>00209 vector<Expr> args;
<a name="l00210"></a>00210 args.push_back(t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>());
<a name="l00211"></a>00211 args.push_back(a1);
<a name="l00212"></a>00212 args.push_back(a2);
<a name="l00213"></a>00213 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"eq_symm"</span>, args, a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00214"></a>00214 } <span class="keywordflow">else</span>
<a name="l00215"></a>00215 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_symm"</span>, a1, a2, a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00216"></a>00216 }
<a name="l00217"></a>00217 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(a2, a1, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(a1_eq_a2), pf);
<a name="l00218"></a>00218 }
<a name="l00219"></a>00219
<a name="l00220"></a>00220
<a name="l00221"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac0813c68583ad6f0661d4c1affe3c6d8">00221</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac0813c68583ad6f0661d4c1affe3c6d8">CommonTheoremProducer::rewriteUsingSymmetry</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1_eq_a2) {
<a name="l00222"></a>00222 <span class="keywordtype">bool</span> isIff = a1_eq_a2.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>();
<a name="l00223"></a>00223 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00224"></a>00224 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>() || isIff, <span class="stringliteral">"rewriteUsingSymmetry precondition violated"</span>);
<a name="l00225"></a>00225 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1 = a1_eq_a2[0];
<a name="l00226"></a>00226 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a2 = a1_eq_a2[1];
<a name="l00227"></a>00227 <span class="comment">// Proof compaction: if a1 == a2, use reflexivity</span>
<a name="l00228"></a>00228 <span class="keywordflow">if</span>(a1 == a2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(a1_eq_a2);
<a name="l00229"></a>00229 <span class="comment">// Otherwise, do the work</span>
<a name="l00230"></a>00230 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00231"></a>00231 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00232"></a>00232 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = a1.getType();
<a name="l00233"></a>00233 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(),
<a name="l00234"></a>00234 <span class="stringliteral">"rewriteUsingSymmetry: a1 has no type: "</span> + a1.toString());
<a name="l00235"></a>00235 <span class="keywordflow">if</span>(isIff)
<a name="l00236"></a>00236 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_iff_symm"</span>, a1, a2);
<a name="l00237"></a>00237 <span class="keywordflow">else</span> {
<a name="l00238"></a>00238 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_eq_symm"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), a1, a2);
<a name="l00239"></a>00239 }
<a name="l00240"></a>00240 }
<a name="l00241"></a>00241 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(a1_eq_a2, isIff ? a2.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(a1) : a2.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(a1), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00242"></a>00242 }
<a name="l00243"></a>00243
<a name="l00244"></a>00244
<a name="l00245"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad5c0bc0fb82634039e5f2c8f9291de0e">00245</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad5c0bc0fb82634039e5f2c8f9291de0e" title=" (same for IFF)">CommonTheoremProducer::transitivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& a1_eq_a2,
<a name="l00246"></a>00246 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& a2_eq_a3) {
<a name="l00247"></a>00247 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>(), <span class="stringliteral">"transitivityRule()"</span>);
<a name="l00248"></a>00248 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>(), <span class="stringliteral">"transitivityRule()"</span>);
<a name="l00249"></a>00249 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00250"></a>00250 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),
<a name="l00251"></a>00251 <span class="stringliteral">"CVC3::CommonTheoremProducer::transitivityRule:\n "</span>
<a name="l00252"></a>00252 <span class="stringliteral">"Wrong premises: first = "</span>
<a name="l00253"></a>00253 + a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>() + <span class="stringliteral">", second = "</span>
<a name="l00254"></a>00254 + a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00255"></a>00255 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>() == a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),
<a name="l00256"></a>00256 <span class="stringliteral">"CVC3::CommonTheoremProducer::transitivityRule:\n "</span>
<a name="l00257"></a>00257 <span class="stringliteral">"Wrong premises: first = "</span>
<a name="l00258"></a>00258 + a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>() + <span class="stringliteral">", second = "</span>
<a name="l00259"></a>00259 + a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00260"></a>00260 }
<a name="l00261"></a>00261 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a1 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>();
<a name="l00262"></a>00262 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a2 = a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();
<a name="l00263"></a>00263 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a3 = a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();
<a name="l00264"></a>00264 <span class="comment"></span>
<a name="l00265"></a>00265 <span class="comment"> /////////////////////////////////////////////////////////////////////////</span>
<a name="l00266"></a>00266 <span class="comment"> //// Proof compaction</span>
<a name="l00267"></a>00267 <span class="comment"> /////////////////////////////////////////////////////////////////////////</span>
<a name="l00268"></a>00268 <span class="comment"></span> <span class="comment">// if a1 == a3, use reflexivity (and lose all assumptions)</span>
<a name="l00269"></a>00269 <span class="keywordflow">if</span>(a1 == a3) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(a1);
<a name="l00270"></a>00270 <span class="comment">// if a1 == a2, or if a2 == a3, use only the non-trivial part</span>
<a name="l00271"></a>00271 <span class="keywordflow">if</span>(a1 == a2) <span class="keywordflow">return</span> a2_eq_a3;
<a name="l00272"></a>00272 <span class="keywordflow">if</span>(a2 == a3) <span class="keywordflow">return</span> a1_eq_a2;
<a name="l00273"></a>00273 <span class="comment"></span>
<a name="l00274"></a>00274 <span class="comment"> ////////////////////////////////////////////////////////////////////////</span>
<a name="l00275"></a>00275 <span class="comment"> //// No shortcuts. Do the work.</span>
<a name="l00276"></a>00276 <span class="comment"> ////////////////////////////////////////////////////////////////////////</span>
<a name="l00277"></a>00277 <span class="comment"></span>
<a name="l00278"></a>00278 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00279"></a>00279 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(a1_eq_a2, a2_eq_a3);
<a name="l00280"></a>00280 <span class="comment">// Build the proof</span>
<a name="l00281"></a>00281 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00282"></a>00282 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = a1.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();
<a name="l00283"></a>00283 <span class="keywordtype">bool</span> isEquality = (!t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>());
<a name="l00284"></a>00284 <span class="keywordtype">string</span> name((isEquality)? <span class="stringliteral">"eq_trans"</span> : <span class="stringliteral">"iff_trans"</span>);
<a name="l00285"></a>00285 vector<Expr> args;
<a name="l00286"></a>00286 vector<Proof> pfs;
<a name="l00287"></a>00287 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"transitivityRule: "</span>
<a name="l00288"></a>00288 <span class="stringliteral">"Type is not computed for a1: "</span> + a1.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00289"></a>00289 <span class="comment">// Type argument is needed only for equality</span>
<a name="l00290"></a>00290 <span class="keywordflow">if</span>(isEquality) args.push_back(t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>());
<a name="l00291"></a>00291 args.push_back(a1);
<a name="l00292"></a>00292 args.push_back(a2);
<a name="l00293"></a>00293 args.push_back(a3);
<a name="l00294"></a>00294 pfs.push_back(a1_eq_a2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00295"></a>00295 pfs.push_back(a2_eq_a3.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00296"></a>00296 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(name, args, pfs);
<a name="l00297"></a>00297 }
<a name="l00298"></a>00298 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(a1, a3, a, pf);
<a name="l00299"></a>00299 }
<a name="l00300"></a>00300
<a name="l00301"></a>00301
<a name="l00302"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d">00302</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,
<a name="l00303"></a>00303 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm) {
<a name="l00304"></a>00304 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>
<a name="l00305"></a>00305 (<span class="keyword">static</span> DebugTimer
<a name="l00306"></a>00306 accum0(debugger.timer(<span class="stringliteral">"substitutivityRule0 time"</span>));
<a name="l00307"></a>00307 <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());
<a name="l00308"></a>00308 <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule0 calls"</span>));
<a name="l00309"></a>00309 debugger.setCurrentTime(tmpTimer);
<a name="l00310"></a>00310 count++;)
<a name="l00311"></a>00311
<a name="l00312"></a>00312 <span class="comment">// Check that t is c == d or c IFF d</span>
<a name="l00313"></a>00313 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00314"></a>00314 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 1 && e[0] == thm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),
<a name="l00315"></a>00315 <span class="stringliteral">"Unexpected use of substitutivityRule0"</span>);
<a name="l00316"></a>00316 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),
<a name="l00317"></a>00317 <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule0:\n "</span>
<a name="l00318"></a>00318 <span class="stringliteral">"premis is not an equality or IFF: "</span>
<a name="l00319"></a>00319 + thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()
<a name="l00320"></a>00320 + <span class="stringliteral">"\n expr = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00321"></a>00321 }
<a name="l00322"></a>00322 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());
<a name="l00323"></a>00323 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00324"></a>00324 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l00325"></a>00325 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"basic_subst_op0"</span>,e, e2,thm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00326"></a>00326 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(thm), pf);
<a name="l00327"></a>00327 <span class="keywordflow">if</span> (!res.<a class="code" href="classCVC3_1_1Theorem.html#a16f074e60b9e076187efb478889d2c47">isRefl</a>()) res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();
<a name="l00328"></a>00328 <span class="keywordflow">return</span> res;
<a name="l00329"></a>00329 }
<a name="l00330"></a>00330
<a name="l00331"></a>00331
<a name="l00332"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78ce0fe500f548d464b63e19211836f8">00332</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,
<a name="l00333"></a>00333 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm1,
<a name="l00334"></a>00334 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm2) {
<a name="l00335"></a>00335 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>
<a name="l00336"></a>00336 (<span class="keyword">static</span> DebugTimer
<a name="l00337"></a>00337 accum0(debugger.timer(<span class="stringliteral">"substitutivityRule1 time"</span>));
<a name="l00338"></a>00338 <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());
<a name="l00339"></a>00339 <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule1 calls"</span>));
<a name="l00340"></a>00340 debugger.setCurrentTime(tmpTimer);
<a name="l00341"></a>00341 count++;)
<a name="l00342"></a>00342
<a name="l00343"></a>00343 <span class="comment">// Check that t is c == d or c IFF d</span>
<a name="l00344"></a>00344 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00345"></a>00345 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == 2 && e[0] == thm1.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() &&
<a name="l00346"></a>00346 e[1] == thm2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(),
<a name="l00347"></a>00347 <span class="stringliteral">"Unexpected use of substitutivityRule1"</span>);
<a name="l00348"></a>00348 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm1.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),
<a name="l00349"></a>00349 <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule1:\n "</span>
<a name="l00350"></a>00350 <span class="stringliteral">"premis is not an equality or IFF: "</span>
<a name="l00351"></a>00351 + thm1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()
<a name="l00352"></a>00352 + <span class="stringliteral">"\n expr = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00353"></a>00353 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),
<a name="l00354"></a>00354 <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule1:\n "</span>
<a name="l00355"></a>00355 <span class="stringliteral">"premis is not an equality or IFF: "</span>
<a name="l00356"></a>00356 + thm2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()
<a name="l00357"></a>00357 + <span class="stringliteral">"\n expr = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00358"></a>00358 }
<a name="l00359"></a>00359 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), thm1.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>(), thm2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());
<a name="l00360"></a>00360 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00361"></a>00361 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00362"></a>00362 vector<Proof> pfs;
<a name="l00363"></a>00363 pfs.push_back(thm1.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00364"></a>00364 pfs.push_back(thm2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00365"></a>00365 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"basic_subst_op1"</span>, e, e2, pfs);
<a name="l00366"></a>00366 }
<a name="l00367"></a>00367 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(thm1, thm2), pf);
<a name="l00368"></a>00368 <span class="keywordflow">if</span> (!res.<a class="code" href="classCVC3_1_1Theorem.html#a16f074e60b9e076187efb478889d2c47">isRefl</a>()) res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();
<a name="l00369"></a>00369 <span class="keywordflow">return</span> res;
<a name="l00370"></a>00370 }
<a name="l00371"></a>00371
<a name="l00372"></a>00372
<a name="l00373"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3cbe9d25e0363d61a29179592561ddb9">00373</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Op.html">Op</a>& op,
<a name="l00374"></a>00374 <span class="keyword">const</span> vector<Theorem>& thms) {
<a name="l00375"></a>00375 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>
<a name="l00376"></a>00376 (<span class="keyword">static</span> DebugTimer
<a name="l00377"></a>00377 accum0(debugger.timer(<span class="stringliteral">"substitutivityRule time"</span>));
<a name="l00378"></a>00378 <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());
<a name="l00379"></a>00379 <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule calls"</span>));
<a name="l00380"></a>00380 debugger.setCurrentTime(tmpTimer);
<a name="l00381"></a>00381 count++;)
<a name="l00382"></a>00382 <span class="comment">// Check for trivial case: no theorems, return (op == op)</span>
<a name="l00383"></a>00383 <span class="keywordtype">unsigned</span> size(thms.size());
<a name="l00384"></a>00384 <span class="keywordflow">if</span>(size == 0)
<a name="l00385"></a>00385 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a27015759e6bdfced928fc5a2d9877b7d">d_tm</a>-><a class="code" href="classCVC3_1_1TheoremManager.html#a12fd5db0a56006d3cd4123fec058b2ca">getEM</a>()-><a class="code" href="group__EM__Priv.html#gacd77df1dbcc429e06a75047e2f609822">newLeafExpr</a>(op));
<a name="l00386"></a>00386 <span class="comment">// Check that theorems are of the form c_i == d_i and collect</span>
<a name="l00387"></a>00387 <span class="comment">// vectors of c_i's and d_i's and the vector of proofs</span>
<a name="l00388"></a>00388 vector<Expr> c, d;
<a name="l00389"></a>00389 vector<Proof> pfs;
<a name="l00390"></a>00390 <span class="comment">// Reserve memory for argument vectors. Do not reserve memory for</span>
<a name="l00391"></a>00391 <span class="comment">// pfs, they are rarely used and slow anyway.</span>
<a name="l00392"></a>00392 c.reserve(size); d.reserve(size);
<a name="l00393"></a>00393 <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i = thms.begin(), iend = thms.end();
<a name="l00394"></a>00394 i != iend; ++i) {
<a name="l00395"></a>00395 <span class="comment">// Check that t is c == d or c IFF d</span>
<a name="l00396"></a>00396 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00397"></a>00397 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i->isRewrite(),
<a name="l00398"></a>00398 <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span>
<a name="l00399"></a>00399 <span class="stringliteral">"premis is not an equality or IFF: "</span>
<a name="l00400"></a>00400 + i->getExpr().toString()
<a name="l00401"></a>00401 + <span class="stringliteral">"\n op = "</span> + op.<a class="code" href="classCVC3_1_1Op.html#a84e7f24cbe0fe182ba2c57d941d5d1f6">toString</a>());
<a name="l00402"></a>00402 <span class="comment">// Collect the pieces</span>
<a name="l00403"></a>00403 c.push_back(i->getLHS());
<a name="l00404"></a>00404 d.push_back(i->getRHS());
<a name="l00405"></a>00405 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) pfs.push_back(i->getProof());
<a name="l00406"></a>00406 }
<a name="l00407"></a>00407 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e1(op, c), e2(op, d);
<a name="l00408"></a>00408 <span class="comment">// Proof compaction: if e1 == e2, use reflexivity</span>
<a name="l00409"></a>00409 <span class="keywordflow">if</span>(e1 == e2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e1);
<a name="l00410"></a>00410 <span class="comment">// Otherwise, do the work</span>
<a name="l00411"></a>00411 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thms);
<a name="l00412"></a>00412 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00413"></a>00413 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l00414"></a>00414 <span class="comment">// FIXME: this rule is not directly expressible in flea</span>
<a name="l00415"></a>00415 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"basic_subst_op"</span>,e1,e2,pfs);
<a name="l00416"></a>00416 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e1, e2, a, pf);
<a name="l00417"></a>00417 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(debugger.setElapsed(tmpTimer);
<a name="l00418"></a>00418 accum0 += tmpTimer;)
<a name="l00419"></a>00419 res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();
<a name="l00420"></a>00420 <span class="keywordflow">return</span> res;
<a name="l00421"></a>00421 }
<a name="l00422"></a>00422
<a name="l00423"></a>00423
<a name="l00424"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a395cee7c667e641b2835748d0a8c4a9d">00424</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,
<a name="l00425"></a>00425 <span class="keyword">const</span> vector<unsigned>& changed,
<a name="l00426"></a>00426 <span class="keyword">const</span> vector<Theorem>& thms) {
<a name="l00427"></a>00427 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>
<a name="l00428"></a>00428 (<span class="keyword">static</span> DebugTimer
<a name="l00429"></a>00429 accum0(debugger.timer(<span class="stringliteral">"substitutivityRule2 time"</span>));
<a name="l00430"></a>00430 <span class="keyword">static</span> DebugTimer tmpTimer(debugger.newTimer());
<a name="l00431"></a>00431 <span class="keyword">static</span> DebugCounter count(debugger.counter(<span class="stringliteral">"substitutivityRule2 calls"</span>));
<a name="l00432"></a>00432 debugger.setCurrentTime(tmpTimer);
<a name="l00433"></a>00433 count++;)
<a name="l00434"></a>00434 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(changed.size() > 0, <span class="stringliteral">"substitutivityRule2 should not be called"</span>);
<a name="l00435"></a>00435 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(changed.size() == thms.size(), <span class="stringliteral">"substitutivityRule2: wrong args"</span>);
<a name="l00436"></a>00436
<a name="l00437"></a>00437 <span class="comment">// Check that theorems are of the form c_i == d_i and collect</span>
<a name="l00438"></a>00438 <span class="comment">// vectors of c_i's and d_i's and the vector of proofs</span>
<a name="l00439"></a>00439 <span class="keywordtype">unsigned</span> size = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();
<a name="l00440"></a>00440 <span class="keywordflow">if</span> (size == 1) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, thms.back());
<a name="l00441"></a>00441 <span class="keywordtype">unsigned</span> csize = changed.size();
<a name="l00442"></a>00442 <span class="keywordflow">if</span> (size == 2) {
<a name="l00443"></a>00443 <span class="keywordflow">if</span> (csize == 2) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, thms[0], thms[1]);
<a name="l00444"></a>00444 <span class="keywordflow">if</span> (changed[0] == 0) {
<a name="l00445"></a>00445 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, thms[0], <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e[1]));
<a name="l00446"></a>00446 }
<a name="l00447"></a>00447 <span class="keywordflow">else</span> {
<a name="l00448"></a>00448 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">substitutivityRule</a>(e, <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e[0]), thms[0]);
<a name="l00449"></a>00449 }
<a name="l00450"></a>00450 }
<a name="l00451"></a>00451 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(size >= csize, <span class="stringliteral">"Bad call to substitutivityRule2"</span>);
<a name="l00452"></a>00452
<a name="l00453"></a>00453 vector<Expr> c;
<a name="l00454"></a>00454 <span class="keywordtype">bool</span> checkProofs(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>);
<a name="l00455"></a>00455 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> j = 0, k = 0; k < size; ++k) {
<a name="l00456"></a>00456 <span class="keywordflow">if</span> (j == csize || changed[j] != k) {
<a name="l00457"></a>00457 c.push_back(e[k]);
<a name="l00458"></a>00458 <span class="keywordflow">continue</span>;
<a name="l00459"></a>00459 }
<a name="l00460"></a>00460 <span class="comment">// Check that t is c == d or c IFF d</span>
<a name="l00461"></a>00461 <span class="keywordflow">if</span>(checkProofs)
<a name="l00462"></a>00462 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thms[j].isRewrite() && thms[j].getLHS() == e[k],
<a name="l00463"></a>00463 <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span>
<a name="l00464"></a>00464 <span class="stringliteral">"premis is not an equality or IFF: "</span>
<a name="l00465"></a>00465 + thms[j].getExpr().toString()
<a name="l00466"></a>00466 + <span class="stringliteral">"\n e = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00467"></a>00467 <span class="comment">// Collect the pieces</span>
<a name="l00468"></a>00468 c.push_back(thms[j].getRHS());
<a name="l00469"></a>00469 ++j;
<a name="l00470"></a>00470 }
<a name="l00471"></a>00471 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), c);
<a name="l00472"></a>00472 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(<span class="keywordflow">if</span>(e == e2) {
<a name="l00473"></a>00473 ostream& os = debugger.getOS();
<a name="l00474"></a>00474 os << <span class="stringliteral">"substitutivityRule2: e = "</span> << e << <span class="stringliteral">"\n e2 = "</span> << e2
<a name="l00475"></a>00475 << <span class="stringliteral">"\n changed kids: [\n"</span>;
<a name="l00476"></a>00476 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> j=0; j<changed.size(); j++)
<a name="l00477"></a>00477 os << <span class="stringliteral">" ("</span> << changed[j] << <span class="stringliteral">") "</span> << thms[j] << <span class="stringliteral">"\n"</span>;
<a name="l00478"></a>00478 os << <span class="stringliteral">"]\n"</span>;
<a name="l00479"></a>00479 })
<a name="l00480"></a>00480 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e != e2,
<a name="l00481"></a>00481 <span class="stringliteral">"substitutivityRule2 should not be called in this case:\n"</span>
<a name="l00482"></a>00482 <span class="stringliteral">"e = "</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00483"></a>00483
<a name="l00484"></a>00484 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00485"></a>00485 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thms);
<a name="l00486"></a>00486 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00487"></a>00487 vector<Proof> pfs;
<a name="l00488"></a>00488 <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i = thms.begin(), iend = thms.end();
<a name="l00489"></a>00489 i != iend; ++i) {
<a name="l00490"></a>00490 <span class="comment">// Check that t is c == d or c IFF d</span>
<a name="l00491"></a>00491 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00492"></a>00492 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i->isRewrite(),
<a name="l00493"></a>00493 <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span>
<a name="l00494"></a>00494 <span class="stringliteral">"premis is not an equality or IFF: "</span>
<a name="l00495"></a>00495 + i->getExpr().toString());
<a name="l00496"></a>00496 <span class="comment">// + "\n op = " + ((Op) e.getOp).toString());</span>
<a name="l00497"></a>00497 pfs.push_back(i->getProof());
<a name="l00498"></a>00498 }
<a name="l00499"></a>00499 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"optimized_subst_op"</span>,e,e2,pfs);
<a name="l00500"></a>00500 }
<a name="l00501"></a>00501 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, a, pf);
<a name="l00502"></a>00502 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(debugger.setElapsed(tmpTimer);
<a name="l00503"></a>00503 accum0 += tmpTimer;)
<a name="l00504"></a>00504 <span class="keywordflow">if</span> (!res.<a class="code" href="classCVC3_1_1Theorem.html#a16f074e60b9e076187efb478889d2c47">isRefl</a>()) res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();
<a name="l00505"></a>00505 <span class="keywordflow">return</span> res;
<a name="l00506"></a>00506 }
<a name="l00507"></a>00507
<a name="l00508"></a>00508
<a name="l00509"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#afeddaca97606b242861d6e05a97f62d7">00509</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aac39a4ae729b4218d4b70ed6a68bc53d" title="Optimized case for expr with one child.">CommonTheoremProducer::substitutivityRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e,
<a name="l00510"></a>00510 <span class="keyword">const</span> <span class="keywordtype">int</span> changed,
<a name="l00511"></a>00511 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm)
<a name="l00512"></a>00512 {
<a name="l00513"></a>00513 <span class="comment">// Get the arity of the expression</span>
<a name="l00514"></a>00514 <span class="keywordtype">int</span> size = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();
<a name="l00515"></a>00515
<a name="l00516"></a>00516 <span class="comment">// The changed must be within the arity</span>
<a name="l00517"></a>00517 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(size >= changed, <span class="stringliteral">"Bad call to substitutivityRule"</span>);
<a name="l00518"></a>00518
<a name="l00519"></a>00519 <span class="comment">// Check that t is c == d or c IFF d</span>
<a name="l00520"></a>00520 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00521"></a>00521 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && thm.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() == e[changed], <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\n "</span>
<a name="l00522"></a>00522 <span class="stringliteral">"premise is not an equality or IFF: "</span> + thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>() + <span class="stringliteral">"\n"</span> +
<a name="l00523"></a>00523 <span class="stringliteral">"e = "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00524"></a>00524
<a name="l00525"></a>00525 <span class="comment">// Collect the new sub-expressions</span>
<a name="l00526"></a>00526 vector<Expr> c;
<a name="l00527"></a>00527 <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k = 0; k < size; ++ k)
<a name="l00528"></a>00528 <span class="keywordflow">if</span> (k != changed) c.push_back(e[k]);
<a name="l00529"></a>00529 <span class="keywordflow">else</span> c.push_back(thm.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());
<a name="l00530"></a>00530
<a name="l00531"></a>00531 <span class="comment">// Construct the new expression</span>
<a name="l00532"></a>00532 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), c);
<a name="l00533"></a>00533
<a name="l00534"></a>00534 <span class="comment">// Check if they are the same </span>
<a name="l00535"></a>00535 <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(<span class="keywordflow">if</span>(e == e2) {
<a name="l00536"></a>00536 ostream& os = debugger.getOS();
<a name="l00537"></a>00537 os << <span class="stringliteral">"substitutivityRule: e = "</span> << e << <span class="stringliteral">"\n e2 = "</span> << e2 << <a class="code" href="group__ExprStream__Manip.html#ga05b0ea7353ec24fa8e7e272d7a7875d8" title="Print the end-of-line.">endl</a>;
<a name="l00538"></a>00538 })
<a name="l00539"></a>00539
<a name="l00540"></a>00540 <span class="comment">// The new expressions must not be equal</span>
<a name="l00541"></a>00541 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e != e2, <span class="stringliteral">"substitutivityRule should not be called in this case:\ne = "</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00542"></a>00542
<a name="l00543"></a>00543 <span class="comment">// Construct the proof object</span>
<a name="l00544"></a>00544 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00545"></a>00545 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thm);
<a name="l00546"></a>00546 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00547"></a>00547 <span class="comment">// Check that t is c == d or c IFF d</span>
<a name="l00548"></a>00548 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00549"></a>00549 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(thm.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(), <span class="stringliteral">"CVC3::CommonTheoremProducer::substitutivityRule:\npremise is not an equality or IFF: "</span> + thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00550"></a>00550 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"optimized_subst_op2"</span>,e,e2,thm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00551"></a>00551 }
<a name="l00552"></a>00552
<a name="l00553"></a>00553 <span class="comment">// Return the resulting theorem </span>
<a name="l00554"></a>00554 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e2, a, pf);;
<a name="l00555"></a>00555 res.<a class="code" href="classCVC3_1_1Theorem.html#a979f97355a4ecd2d8d8b96b679df5240" title="Set flag stating that theorem is an instance of substitution.">setSubst</a>();
<a name="l00556"></a>00556 <span class="keywordflow">return</span> res;
<a name="l00557"></a>00557 }
<a name="l00558"></a>00558
<a name="l00559"></a>00559
<a name="l00560"></a>00560 <span class="comment">// |- e, |- !e ==> |- FALSE</span>
<a name="l00561"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aaa58b8a459f5678aa2393fba6b50ff8d">00561</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aaa58b8a459f5678aa2393fba6b50ff8d">CommonTheoremProducer::contradictionRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e,
<a name="l00562"></a>00562 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& not_e) {
<a name="l00563"></a>00563 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00564"></a>00564 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00565"></a>00565 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>() == not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(),
<a name="l00566"></a>00566 <span class="stringliteral">"CommonTheoremProducer::contraditionRule: "</span>
<a name="l00567"></a>00567 <span class="stringliteral">"theorems don't match:\n e = "</span>+e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>()
<a name="l00568"></a>00568 +<span class="stringliteral">"\n not_e = "</span>+not_e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00569"></a>00569 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(e, not_e);
<a name="l00570"></a>00570 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00571"></a>00571 vector<Proof> pfs;
<a name="l00572"></a>00572 pfs.push_back(e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00573"></a>00573 pfs.push_back(not_e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00574"></a>00574 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"contradition"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), pfs);
<a name="l00575"></a>00575 }
<a name="l00576"></a>00576 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), a, pf);
<a name="l00577"></a>00577 }
<a name="l00578"></a>00578
<a name="l00579"></a>00579
<a name="l00580"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad6ecd5f3d95b2f44d670ad1228a88f4a">00580</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad6ecd5f3d95b2f44d670ad1228a88f4a">CommonTheoremProducer::excludedMiddle</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)
<a name="l00581"></a>00581 {
<a name="l00582"></a>00582 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00583"></a>00583 <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00584"></a>00584 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"excludedMiddle"</span>, e);
<a name="l00585"></a>00585 }
<a name="l00586"></a>00586 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e.<a class="code" href="group__ExprPkg.html#gaf310870d783fff343e77ba9c2277c626">orExpr</a>(!e), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00587"></a>00587 }
<a name="l00588"></a>00588
<a name="l00589"></a>00589
<a name="l00590"></a>00590 <span class="comment">// e ==> e IFF TRUE</span>
<a name="l00591"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a37ed2850e80cd789f7ac712df6eacc63">00591</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a37ed2850e80cd789f7ac712df6eacc63">CommonTheoremProducer::iffTrue</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e)
<a name="l00592"></a>00592 {
<a name="l00593"></a>00593 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00594"></a>00594 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00595"></a>00595 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_true"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00596"></a>00596 }
<a name="l00597"></a>00597 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);
<a name="l00598"></a>00598 }
<a name="l00599"></a>00599
<a name="l00600"></a>00600
<a name="l00601"></a>00601 <span class="comment">// e ==> !e IFF FALSE</span>
<a name="l00602"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2b95f985a56f8d25b00145846406d70b">00602</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2b95f985a56f8d25b00145846406d70b">CommonTheoremProducer::iffNotFalse</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {
<a name="l00603"></a>00603 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00604"></a>00604 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00605"></a>00605 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_not_false"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00606"></a>00606 }
<a name="l00607"></a>00607 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(!e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);
<a name="l00608"></a>00608 }
<a name="l00609"></a>00609
<a name="l00610"></a>00610
<a name="l00611"></a>00611 <span class="comment">// e IFF TRUE ==> e</span>
<a name="l00612"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a40da8d343ef923020c472eaace6e8122">00612</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a40da8d343ef923020c472eaace6e8122">CommonTheoremProducer::iffTrueElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {
<a name="l00613"></a>00613 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00614"></a>00614 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),
<a name="l00615"></a>00615 <span class="stringliteral">"CommonTheoremProducer::iffTrueElim: "</span>
<a name="l00616"></a>00616 <span class="stringliteral">"theorem is not e<=>TRUE: "</span>+ e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00617"></a>00617 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00618"></a>00618 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00619"></a>00619 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_true_elim"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00620"></a>00620 }
<a name="l00621"></a>00621 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);
<a name="l00622"></a>00622 }
<a name="l00623"></a>00623
<a name="l00624"></a>00624
<a name="l00625"></a>00625 <span class="comment">// e IFF FALSE ==> !e</span>
<a name="l00626"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a4efade3a917467bf7287a19d2ee4ea2c">00626</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a4efade3a917467bf7287a19d2ee4ea2c">CommonTheoremProducer::iffFalseElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {
<a name="l00627"></a>00627 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00628"></a>00628 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>(),
<a name="l00629"></a>00629 <span class="stringliteral">"CommonTheoremProducer::iffFalseElim: "</span>
<a name="l00630"></a>00630 <span class="stringliteral">"theorem is not e<=>FALSE: "</span>+ e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00631"></a>00631 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& lhs = e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>();
<a name="l00632"></a>00632 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00633"></a>00633 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00634"></a>00634 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_false_elim"</span>, lhs, e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00635"></a>00635 }
<a name="l00636"></a>00636 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(!lhs, <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);
<a name="l00637"></a>00637 }
<a name="l00638"></a>00638
<a name="l00639"></a>00639
<a name="l00640"></a>00640 <span class="comment">// e1 <=> e2 ==> ~e1 <=> ~e2</span>
<a name="l00641"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3733173dbd8f639af979150059c4ec90">00641</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3733173dbd8f639af979150059c4ec90" title="e1 <=> e2 ==> ~e1 <=> ~e2">CommonTheoremProducer::iffContrapositive</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {
<a name="l00642"></a>00642 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00643"></a>00643 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>() && e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>().<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>(),
<a name="l00644"></a>00644 <span class="stringliteral">"CommonTheoremProducer::iffContrapositive: "</span>
<a name="l00645"></a>00645 <span class="stringliteral">"theorem is not e1<=>e2: "</span>+ e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00646"></a>00646 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00647"></a>00647 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00648"></a>00648 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_contrapositive"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00649"></a>00649 }
<a name="l00650"></a>00650 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>().<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>(),e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>().<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);
<a name="l00651"></a>00651 }
<a name="l00652"></a>00652
<a name="l00653"></a>00653
<a name="l00654"></a>00654 <span class="comment">// !!e ==> e</span>
<a name="l00655"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a59470692918d2f7c03c073a61daa3db5">00655</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a59470692918d2f7c03c073a61daa3db5">CommonTheoremProducer::notNotElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& not_not_e) {
<a name="l00656"></a>00656 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00657"></a>00657 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0].<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>(),
<a name="l00658"></a>00658 <span class="stringliteral">"CommonTheoremProducer::notNotElim: bad theorem: !!e = "</span>
<a name="l00659"></a>00659 + not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00660"></a>00660 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00661"></a>00661 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l00662"></a>00662 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"not_not_elim"</span>, not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00663"></a>00663 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(not_not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0][0], <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(not_not_e), pf);
<a name="l00664"></a>00664 }
<a name="l00665"></a>00665
<a name="l00666"></a>00666
<a name="l00667"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">00667</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">CommonTheoremProducer::iffMP</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1_iff_e2)
<a name="l00668"></a>00668 {
<a name="l00669"></a>00669 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00670"></a>00670 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(),
<a name="l00671"></a>00671 <span class="stringliteral">"iffMP: not IFF: "</span>+e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00672"></a>00672 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>() == (e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>()),
<a name="l00673"></a>00673 <span class="stringliteral">"iffMP: theorems don't match:\n e1 = "</span> + e1.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>()
<a name="l00674"></a>00674 + <span class="stringliteral">", e1_iff_e2 = "</span> + e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00675"></a>00675 }
<a name="l00676"></a>00676 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2(e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>());
<a name="l00677"></a>00677 <span class="comment">// Avoid e1.getExpr(), it may cause unneeded Expr creation</span>
<a name="l00678"></a>00678 <span class="keywordflow">if</span> (e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>() == e2) <span class="keywordflow">return</span> e1;
<a name="l00679"></a>00679 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00680"></a>00680 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(e1, e1_iff_e2);
<a name="l00681"></a>00681 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00682"></a>00682 vector<Proof> pfs;
<a name="l00683"></a>00683 pfs.push_back(e1.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00684"></a>00684 pfs.push_back(e1_iff_e2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00685"></a>00685 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"iff_mp"</span>, e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e2, pfs);
<a name="l00686"></a>00686 }
<a name="l00687"></a>00687 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e2, a, pf);
<a name="l00688"></a>00688 }
<a name="l00689"></a>00689
<a name="l00690"></a>00690
<a name="l00691"></a>00691 <span class="comment">// e1 AND (e1 IMPLIES e2) ==> e2</span>
<a name="l00692"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac7155849ce6bd4afe185fdb0e397fc58">00692</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac7155849ce6bd4afe185fdb0e397fc58">CommonTheoremProducer::implMP</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1,
<a name="l00693"></a>00693 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1_impl_e2) {
<a name="l00694"></a>00694 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& impl = e1_impl_e2.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>();
<a name="l00695"></a>00695 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00696"></a>00696 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(impl.<a class="code" href="group__ExprPkg.html#ga9067c706c6454ea1761ace7d7837af46">isImpl</a>() && impl.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()==2,
<a name="l00697"></a>00697 <span class="stringliteral">"implMP: not IMPLIES: "</span>+impl.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00698"></a>00698 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>() == impl[0],
<a name="l00699"></a>00699 <span class="stringliteral">"implMP: theorems don't match:\n e1 = "</span> + e1.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>()
<a name="l00700"></a>00700 + <span class="stringliteral">", e1_impl_e2 = "</span> + impl.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00701"></a>00701 }
<a name="l00702"></a>00702 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2 = impl[1];
<a name="l00703"></a>00703 <span class="comment">// Avoid e1.getExpr(), it may cause unneeded Expr creation</span>
<a name="l00704"></a>00704 <span class="comment">// if (impl[0] == e2) return e1; // this line commented by yeting because of proof translation</span>
<a name="l00705"></a>00705 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00706"></a>00706 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(e1, e1_impl_e2);
<a name="l00707"></a>00707 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00708"></a>00708 vector<Proof> pfs;
<a name="l00709"></a>00709 pfs.push_back(e1.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00710"></a>00710 pfs.push_back(e1_impl_e2.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00711"></a>00711 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_mp"</span>, e1.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e2, pfs);
<a name="l00712"></a>00712 }
<a name="l00713"></a>00713 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e2, a, pf);
<a name="l00714"></a>00714 }
<a name="l00715"></a>00715
<a name="l00716"></a>00716
<a name="l00717"></a>00717 <span class="comment">// AND(e_0,...e_{n-1}) ==> e_i</span>
<a name="l00718"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a23e3f96d1cc6da39d97f9b7a2e0ba723">00718</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a23e3f96d1cc6da39d97f9b7a2e0ba723">CommonTheoremProducer::andElim</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e, <span class="keywordtype">int</span> i) {
<a name="l00719"></a>00719 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00720"></a>00720 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>(), <span class="stringliteral">"andElim: not an AND: "</span> + e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00721"></a>00721 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i < e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(), <span class="stringliteral">"andElim: i = "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(i)
<a name="l00722"></a>00722 + <span class="stringliteral">" >= arity = "</span> + <a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>())
<a name="l00723"></a>00723 + <span class="stringliteral">" in "</span> + e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00724"></a>00724 }
<a name="l00725"></a>00725 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00726"></a>00726 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l00727"></a>00727 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"andE"</span>, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga18423a42ce6557dc33287d3979ccc3c6">newRatExpr</a>(i), e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>(), e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00728"></a>00728 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[i], <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);
<a name="l00729"></a>00729 }
<a name="l00730"></a>00730
<a name="l00731"></a>00731 <span class="comment"></span>
<a name="l00732"></a>00732 <span class="comment">//! e1, e2 ==> AND(e1, e2)</span>
<a name="l00733"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a">00733</a> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a" title="e1, e2 ==> AND(e1, e2)">CommonTheoremProducer::andIntro</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e2) {
<a name="l00734"></a>00734 vector<Theorem> thms;
<a name="l00735"></a>00735 thms.push_back(e1);
<a name="l00736"></a>00736 thms.push_back(e2);
<a name="l00737"></a>00737 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a" title="e1, e2 ==> AND(e1, e2)">andIntro</a>(thms);
<a name="l00738"></a>00738 }
<a name="l00739"></a>00739
<a name="l00740"></a>00740
<a name="l00741"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a27ccedb2c4fb06b63f4019effb22feff">00741</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a733e7c5fe7b46d1af284c7c30c94025a" title="e1, e2 ==> AND(e1, e2)">CommonTheoremProducer::andIntro</a>(<span class="keyword">const</span> vector<Theorem>& es) {
<a name="l00742"></a>00742 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00743"></a>00743 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00744"></a>00744 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(es.size() > 1,
<a name="l00745"></a>00745 <span class="stringliteral">"andIntro(vector<Theorem>): vector must have more than 1 element"</span>);
<a name="l00746"></a>00746 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(es);
<a name="l00747"></a>00747 <span class="comment">/*</span>
<a name="l00748"></a>00748 <span class="comment"> if(withProof()) {</span>
<a name="l00749"></a>00749 <span class="comment"> vector<Proof> pfs;</span>
<a name="l00750"></a>00750 <span class="comment"> for(vector<Theorem>::const_iterator i=es.begin(), iend=es.end();</span>
<a name="l00751"></a>00751 <span class="comment"> i!=iend; ++i)</span>
<a name="l00752"></a>00752 <span class="comment"> pfs.push_back(i->getProof());</span>
<a name="l00753"></a>00753 <span class="comment"> // pf = newPf("andI", andExpr(kids), pfs);</span>
<a name="l00754"></a>00754 <span class="comment"> }</span>
<a name="l00755"></a>00755 <span class="comment"> */</span>
<a name="l00756"></a>00756 vector<Expr> kids;
<a name="l00757"></a>00757 <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i=es.begin(), iend=es.end();
<a name="l00758"></a>00758 i!=iend; ++i)
<a name="l00759"></a>00759 kids.push_back(i->getExpr());
<a name="l00760"></a>00760
<a name="l00761"></a>00761 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00762"></a>00762 vector<Proof> pfs;
<a name="l00763"></a>00763 <span class="keywordflow">for</span>(vector<Theorem>::const_iterator i=es.begin(), iend=es.end();
<a name="l00764"></a>00764 i!=iend; ++i)
<a name="l00765"></a>00765 pfs.push_back(i->getProof());
<a name="l00766"></a>00766 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"andI"</span>, <a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(kids), pfs);
<a name="l00767"></a>00767 }
<a name="l00768"></a>00768 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(kids), a, pf);
<a name="l00769"></a>00769 }
<a name="l00770"></a>00770
<a name="l00771"></a>00771
<a name="l00772"></a>00772 <span class="comment">// G,a1,...,an |- phi</span>
<a name="l00773"></a>00773 <span class="comment">// -------------------------------------------------</span>
<a name="l00774"></a>00774 <span class="comment">// G |- (a1 & ... & an) -> phi</span>
<a name="l00775"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a414b98f6715044635975f8675f770c0b">00775</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a414b98f6715044635975f8675f770c0b" title="Implication introduction rule: .">CommonTheoremProducer::implIntro</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& phi,
<a name="l00776"></a>00776 <span class="keyword">const</span> std::vector<Expr>& assump) {
<a name="l00777"></a>00777 <span class="keywordtype">bool</span> checkProofs(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>);
<a name="l00778"></a>00778 <span class="comment">// This rule only makes sense when runnnig with assumptions</span>
<a name="l00779"></a>00779 <span class="keywordflow">if</span>(checkProofs) {
<a name="l00780"></a>00780 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a32afe6d99e661b5c70082036e40d48bc" title="Testing whether to generate assumptions.">withAssumptions</a>(),
<a name="l00781"></a>00781 <span class="stringliteral">"implIntro: called while running without assumptions"</span>);
<a name="l00782"></a>00782 }
<a name="l00783"></a>00783
<a name="l00784"></a>00784 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>& phiAssump = phi.<a class="code" href="classCVC3_1_1Theorem.html#a5e9ab00a613df15cc02f55edb55a67b3">getAssumptionsRef</a>();
<a name="l00785"></a>00785
<a name="l00786"></a>00786 <span class="keywordflow">if</span>(checkProofs) {
<a name="l00787"></a>00787 <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i<assump.size(); i++) {
<a name="l00788"></a>00788 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm = phiAssump[assump[i]];
<a name="l00789"></a>00789 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!thm.<a class="code" href="classCVC3_1_1Theorem.html#afc6fdb0507eb3669e28d9be5ed0bd333">isNull</a>() && thm.<a class="code" href="classCVC3_1_1Theorem.html#a05282db6832afb4f198d8c6b2b67aeb1">isAssump</a>(),
<a name="l00790"></a>00790 <span class="stringliteral">"implIntro: this is not an assumption of phi:\n\n"</span>
<a name="l00791"></a>00791 <span class="stringliteral">" a["</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(i)+<span class="stringliteral">"] = "</span>+assump[i].toString()
<a name="l00792"></a>00792 +<span class="stringliteral">"\n\n phi = "</span>+phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00793"></a>00793 }
<a name="l00794"></a>00794 }
<a name="l00795"></a>00795
<a name="l00796"></a>00796 <span class="comment">// Proof compaction: trivial derivation</span>
<a name="l00797"></a>00797 <span class="keywordflow">if</span>(assump.size() == 0) <span class="keywordflow">return</span> phi;
<a name="l00798"></a>00798
<a name="l00799"></a>00799 <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(phiAssump - assump);
<a name="l00800"></a>00800 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00801"></a>00801 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00802"></a>00802 vector<Proof> u; <span class="comment">// Proof labels for assumptions</span>
<a name="l00803"></a>00803 <span class="keywordflow">for</span>(vector<Expr>::const_iterator i=assump.begin(), iend=assump.end();
<a name="l00804"></a>00804 i!=iend; ++i) {
<a name="l00805"></a>00805 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& t = phiAssump[*i];
<a name="l00806"></a>00806 u.push_back(t.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00807"></a>00807 }
<a name="l00808"></a>00808 <span class="comment">// Arguments to the proof rule:</span>
<a name="l00809"></a>00809 <span class="comment">// impl_intro_3(phi, a1,...,an,tcc1,...tccn,pf_tcc1,...pf_tccn,</span>
<a name="l00810"></a>00810 <span class="comment">// [lambda(a1,...,an): pf_phi])</span>
<a name="l00811"></a>00811 vector<Expr> args;
<a name="l00812"></a>00812 vector<Proof> pfs;
<a name="l00813"></a>00813 args.push_back(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>());
<a name="l00814"></a>00814 args.insert(args.end(), assump.begin(), assump.end());
<a name="l00815"></a>00815 <span class="comment">// Lambda-abstraction of pf_phi</span>
<a name="l00816"></a>00816 pfs.push_back(<a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(u, assump, phi.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>()));
<a name="l00817"></a>00817 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_intro"</span>, args, pfs);
<a name="l00818"></a>00818 }
<a name="l00819"></a>00819 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> conj(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(assump));
<a name="l00820"></a>00820 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(conj.<a class="code" href="group__ExprPkg.html#ga8dd97bcdeb9d8870238f94a263fd083b">impExpr</a>(phi.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()), a, pf);
<a name="l00821"></a>00821 }
<a name="l00822"></a>00822
<a name="l00823"></a>00823
<a name="l00824"></a>00824 <span class="comment">// e1 => e2 ==> ~e2 => ~e1</span>
<a name="l00825"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38bb194aa15b10dd0959cfff5e33014b">00825</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38bb194aa15b10dd0959cfff5e33014b" title="e1 => e2 ==> ~e2 => ~e1">CommonTheoremProducer::implContrapositive</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm) {
<a name="l00826"></a>00826 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& impl = thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>();
<a name="l00827"></a>00827 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00828"></a>00828 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(impl.<a class="code" href="group__ExprPkg.html#ga9067c706c6454ea1761ace7d7837af46">isImpl</a>() && impl.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()==2,
<a name="l00829"></a>00829 <span class="stringliteral">"CommonTheoremProducer::implContrapositive: thm="</span>
<a name="l00830"></a>00830 +impl.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00831"></a>00831 }
<a name="l00832"></a>00832 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00833"></a>00833 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l00834"></a>00834 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"impl_contrapositive"</span>, impl, thm.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00835"></a>00835 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(impl[1].negate().impExpr(impl[0].negate()), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(thm), pf);
<a name="l00836"></a>00836 }
<a name="l00837"></a>00837
<a name="l00838"></a>00838
<a name="l00839"></a>00839 <span class="comment">// ==> ITE(TRUE, e1, e2) == e1</span>
<a name="l00840"></a>00840 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>
<a name="l00841"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2459a321ea5cdab974dc2cf029934a71">00841</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2459a321ea5cdab974dc2cf029934a71" title="==> ITE(TRUE, e1, e2) == e1">CommonTheoremProducer::rewriteIteTrue</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l00842"></a>00842 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00843"></a>00843 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00844"></a>00844 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && e[0].<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),
<a name="l00845"></a>00845 <span class="stringliteral">"rewriteIteTrue precondition violated"</span>);
<a name="l00846"></a>00846 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00847"></a>00847 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e[1].<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();
<a name="l00848"></a>00848 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"rewriteIteTrue: e1 has no type: "</span>
<a name="l00849"></a>00849 + e[1].<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00850"></a>00850 <span class="keywordtype">bool</span> useIff = t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();
<a name="l00851"></a>00851 <span class="keywordflow">if</span>(useIff)
<a name="l00852"></a>00852 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_true_iff"</span>, e[1], e[2]);
<a name="l00853"></a>00853 <span class="keywordflow">else</span> {
<a name="l00854"></a>00854 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_true"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), e[1], e[2]);
<a name="l00855"></a>00855 }
<a name="l00856"></a>00856 }
<a name="l00857"></a>00857 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00858"></a>00858 }
<a name="l00859"></a>00859
<a name="l00860"></a>00860
<a name="l00861"></a>00861 <span class="comment">// ==> ITE(FALSE, e1, e2) == e2</span>
<a name="l00862"></a>00862 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>
<a name="l00863"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a1711198c758a0475449b1889815f1371">00863</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a1711198c758a0475449b1889815f1371" title="==> ITE(FALSE, e1, e2) == e2">CommonTheoremProducer::rewriteIteFalse</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l00864"></a>00864 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00865"></a>00865 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00866"></a>00866 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>(),
<a name="l00867"></a>00867 <span class="stringliteral">"rewriteIteFalse precondition violated"</span>);
<a name="l00868"></a>00868 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00869"></a>00869 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e[1].<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();
<a name="l00870"></a>00870 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"rewriteIteFalse: e1 has no type: "</span>
<a name="l00871"></a>00871 + e[1].<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00872"></a>00872 <span class="keywordtype">bool</span> useIff = t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();
<a name="l00873"></a>00873 <span class="keywordflow">if</span>(useIff)
<a name="l00874"></a>00874 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_false_iff"</span>, e[1], e[2]);
<a name="l00875"></a>00875 <span class="keywordflow">else</span> {
<a name="l00876"></a>00876 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_false"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), e[1], e[2]);
<a name="l00877"></a>00877 }
<a name="l00878"></a>00878 }
<a name="l00879"></a>00879 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[2], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00880"></a>00880 }
<a name="l00881"></a>00881
<a name="l00882"></a>00882
<a name="l00883"></a>00883 <span class="comment">// ==> ITE(c, e, e) == e</span>
<a name="l00884"></a>00884 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>
<a name="l00885"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aad60929c1c8c79287a16bc995cd9c51c">00885</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aad60929c1c8c79287a16bc995cd9c51c" title="==> ITE(c, e, e) == e">CommonTheoremProducer::rewriteIteSame</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l00886"></a>00886 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00887"></a>00887 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00888"></a>00888 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>() && e[1] == e[2],
<a name="l00889"></a>00889 <span class="stringliteral">"rewriteIteSame precondition violated"</span>);
<a name="l00890"></a>00890 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00891"></a>00891 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e[1].<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();
<a name="l00892"></a>00892 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(!t.<a class="code" href="classCVC3_1_1Type.html#ab5fe00c99ee91f369e3339b26bab0bf7">isNull</a>(), <span class="stringliteral">"rewriteIteSame: e[1] has no type: "</span>
<a name="l00893"></a>00893 + e[1].<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00894"></a>00894 <span class="keywordtype">bool</span> useIff = t.<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>();
<a name="l00895"></a>00895 <span class="keywordflow">if</span>(useIff)
<a name="l00896"></a>00896 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_same_iff"</span>, e[0], e[1]);
<a name="l00897"></a>00897 <span class="keywordflow">else</span> {
<a name="l00898"></a>00898 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_ite_same"</span>, t.<a class="code" href="classCVC3_1_1Type.html#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>(), e[0], e[1]);
<a name="l00899"></a>00899 }
<a name="l00900"></a>00900 }
<a name="l00901"></a>00901 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00902"></a>00902 }
<a name="l00903"></a>00903
<a name="l00904"></a>00904
<a name="l00905"></a>00905 <span class="comment">// NOT e ==> e IFF FALSE</span>
<a name="l00906"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab9c0b6784e83fc0a4727a58c0a82b67a">00906</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab9c0b6784e83fc0a4727a58c0a82b67a">CommonTheoremProducer::notToIff</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& not_e)
<a name="l00907"></a>00907 {
<a name="l00908"></a>00908 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00909"></a>00909 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>().<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>(),
<a name="l00910"></a>00910 <span class="stringliteral">"notToIff: not NOT: "</span>+not_e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>());
<a name="l00911"></a>00911
<a name="l00912"></a>00912 <span class="comment">// Make it an atomic rule (more efficient)</span>
<a name="l00913"></a>00913 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e(not_e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0]);
<a name="l00914"></a>00914 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00915"></a>00915 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l00916"></a>00916 pf=<a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"not_to_iff"</span>, e, not_e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());
<a name="l00917"></a>00917 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(not_e), pf);
<a name="l00918"></a>00918 }
<a name="l00919"></a>00919
<a name="l00920"></a>00920
<a name="l00921"></a>00921 <span class="comment">// e1 XOR e2 ==> e1 IFF (NOT e2)</span>
<a name="l00922"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b3a8e2d8bb3469935ecd1476778acaa">00922</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b3a8e2d8bb3469935ecd1476778acaa">CommonTheoremProducer::xorToIff</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)
<a name="l00923"></a>00923 {
<a name="l00924"></a>00924 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l00925"></a>00925 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gace27719ae0da2a171560b9fda9e10c8b">isXor</a>(), <span class="stringliteral">"xorToIff precondition violated"</span>);
<a name="l00926"></a>00926 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() >= 2, <span class="stringliteral">"Expected XOR of arity >= 2"</span>);
<a name="l00927"></a>00927 }
<a name="l00928"></a>00928 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> res = e[e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()-1];
<a name="l00929"></a>00929 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()-2; i >=0; --i) {
<a name="l00930"></a>00930 res = (!e[i]).iffExpr(res);
<a name="l00931"></a>00931 }
<a name="l00932"></a>00932 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00933"></a>00933 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00934"></a>00934 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"xorToIff"</span>);
<a name="l00935"></a>00935 }
<a name="l00936"></a>00936 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, res, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00937"></a>00937 }
<a name="l00938"></a>00938
<a name="l00939"></a>00939
<a name="l00940"></a>00940 <span class="comment">// ==> IFF(e1,e2) IFF <simplified expr></span>
<a name="l00941"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab2233ef28defaf0af1b6a8cc4b887708">00941</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab2233ef28defaf0af1b6a8cc4b887708" title="==> (e1 <=> e2) <=> [simplified expr]">CommonTheoremProducer::rewriteIff</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l00942"></a>00942 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00943"></a>00943 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00944"></a>00944 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>(), <span class="stringliteral">"rewriteIff precondition violated"</span>);
<a name="l00945"></a>00945 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l00946"></a>00946 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_iff"</span>, e[0], e[1]);
<a name="l00947"></a>00947 }
<a name="l00948"></a>00948
<a name="l00949"></a>00949 <span class="keywordflow">if</span>(e[0] == e[1]) <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a26b00cb395f45971ace24a4529189e1b" title="==> (a == a) IFF TRUE">rewriteReflexivity</a>(e);
<a name="l00950"></a>00950
<a name="l00951"></a>00951 <span class="keywordflow">switch</span>(e[0].getKind()) {
<a name="l00952"></a>00952 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba1fad76919fba496de21807e2beec533d">TRUE_EXPR</a>:
<a name="l00953"></a>00953 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00954"></a>00954 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba5f71bd33a6528411ae681f5291de1d82">FALSE_EXPR</a>:
<a name="l00955"></a>00955 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, !e[1], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>() ,pf);
<a name="l00956"></a>00956 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba0378ebc895849163b249d0b330257dd6">NOT</a>:
<a name="l00957"></a>00957 <span class="keywordflow">if</span>(e[0][0]==e[1])
<a name="l00958"></a>00958 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00959"></a>00959 <span class="keywordflow">break</span>;
<a name="l00960"></a>00960 <span class="keywordflow">default</span>: <span class="keywordflow">break</span>;
<a name="l00961"></a>00961 }
<a name="l00962"></a>00962
<a name="l00963"></a>00963 <span class="keywordflow">switch</span>(e[1].getKind()) {
<a name="l00964"></a>00964 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba1fad76919fba496de21807e2beec533d">TRUE_EXPR</a>:
<a name="l00965"></a>00965 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00966"></a>00966 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba5f71bd33a6528411ae681f5291de1d82">FALSE_EXPR</a>:
<a name="l00967"></a>00967 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, !e[0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00968"></a>00968 <span class="keywordflow">case</span> <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba0378ebc895849163b249d0b330257dd6">NOT</a>:
<a name="l00969"></a>00969 <span class="keywordflow">if</span>(e[0]==e[1][0])
<a name="l00970"></a>00970 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l00971"></a>00971 <span class="keywordflow">break</span>;
<a name="l00972"></a>00972 <span class="keywordflow">default</span>:
<a name="l00973"></a>00973 <span class="keywordflow">break</span>;
<a name="l00974"></a>00974 }
<a name="l00975"></a>00975
<a name="l00976"></a>00976 <span class="keywordflow">if</span>(e[0] < e[1])
<a name="l00977"></a>00977 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac0813c68583ad6f0661d4c1affe3c6d8">rewriteUsingSymmetry</a>(e);
<a name="l00978"></a>00978 <span class="keywordflow">else</span>
<a name="l00979"></a>00979 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(e);
<a name="l00980"></a>00980 }
<a name="l00981"></a>00981
<a name="l00982"></a>00982
<a name="l00983"></a>00983 <span class="comment">// ==> AND(e_1,...,e_n) IFF <simplified expr></span>
<a name="l00984"></a>00984 <span class="comment">// 1) if e_i = FALSE then return FALSE</span>
<a name="l00985"></a>00985 <span class="comment">// 2) if e_i = TRUE, remove it from children</span>
<a name="l00986"></a>00986 <span class="comment">// 3) if e_i = AND(f_1,...,f_m) then AND(e_1,...,e_{i-1},f_1,...,f_m,e_{i+1},...,e_n)</span>
<a name="l00987"></a>00987 <span class="comment">// 4) if n=0 return TRUE</span>
<a name="l00988"></a>00988 <span class="comment">// 5) if n=1 return e_1</span>
<a name="l00989"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1">00989</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1" title="==> AND(e1,e2) IFF [simplified expr]">CommonTheoremProducer::rewriteAnd</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l00990"></a>00990 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l00991"></a>00991 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>(), <span class="stringliteral">"rewriteAnd: bad Expr: "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l00992"></a>00992 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l00993"></a>00993 <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool></a> newKids;
<a name="l00994"></a>00994 <span class="keywordtype">bool</span> isFalse (<span class="keyword">false</span>);
<a name="l00995"></a>00995 <span class="keywordflow">for</span> (<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> k=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), kend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); !isFalse && k != kend; ++k) {
<a name="l00996"></a>00996 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ek = *k;
<a name="l00997"></a>00997 <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>()) { isFalse=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }
<a name="l00998"></a>00998 <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#ga383260cf4f8919728e2712e6e11f21fa">isAnd</a>() && ek.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() < 10) {
<a name="l00999"></a>00999 <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> j=ek.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), jend=ek.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); j!=jend; ++j) {
<a name="l01000"></a>01000 <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(j->negate()) > 0) { isFalse=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }
<a name="l01001"></a>01001 newKids[*j]=<span class="keyword">true</span>;
<a name="l01002"></a>01002 }
<a name="l01003"></a>01003 } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(!ek.<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>()) {
<a name="l01004"></a>01004 <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(ek.<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>()) > 0) { isFalse=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }
<a name="l01005"></a>01005 newKids[ek]=<span class="keyword">true</span>;
<a name="l01006"></a>01006 }
<a name="l01007"></a>01007 }
<a name="l01008"></a>01008 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> res;
<a name="l01009"></a>01009 <span class="keywordflow">if</span> (isFalse) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>();
<a name="l01010"></a>01010 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 0) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(); <span class="comment">// All newKids were TRUE</span>
<a name="l01011"></a>01011 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 1)
<a name="l01012"></a>01012 res = newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>()->first; <span class="comment">// The only child</span>
<a name="l01013"></a>01013 <span class="keywordflow">else</span> {
<a name="l01014"></a>01014 vector<Expr> v;
<a name="l01015"></a>01015 <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool>::iterator</a> i=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>(), iend=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a283ae6c44308cbdda0d82da5a16e52c8">end</a>();
<a name="l01016"></a>01016 i!=iend; ++i)
<a name="l01017"></a>01017 v.push_back(i->first);
<a name="l01018"></a>01018 res = <a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(v);
<a name="l01019"></a>01019 }
<a name="l01020"></a>01020 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l01021"></a>01021 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_and"</span>, e,res);
<a name="l01022"></a>01022 }
<a name="l01023"></a>01023 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, res, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01024"></a>01024 }
<a name="l01025"></a>01025
<a name="l01026"></a>01026
<a name="l01027"></a>01027 <span class="comment">// ==> OR(e1,e2) IFF <simplified expr></span>
<a name="l01028"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2">01028</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2" title="==> OR(e1,...,en) IFF [simplified expr]">CommonTheoremProducer::rewriteOr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01029"></a>01029 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l01030"></a>01030 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>(), <span class="stringliteral">"rewriteOr: bad Expr: "</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l01031"></a>01031 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01032"></a>01032 <a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool></a> newKids;
<a name="l01033"></a>01033 <span class="keywordtype">bool</span> isTrue (<span class="keyword">false</span>);
<a name="l01034"></a>01034 <span class="keywordflow">for</span> (<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> k=e.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), kend=e.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); !isTrue && k != kend; ++k) {
<a name="l01035"></a>01035 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ek = *k;
<a name="l01036"></a>01036 <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>()) { isTrue=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }
<a name="l01037"></a>01037 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ek.<a class="code" href="group__ExprPkg.html#ga36f1eff876808586db368dc1b6da5f56">isOr</a>() && ek.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() < 10) {
<a name="l01038"></a>01038 <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1Expr_1_1iterator.html">Expr::iterator</a> j=ek.<a class="code" href="group__ExprPkg.html#gac890e13db184610276fc533fa4b4fe99" title="Begin iterator.">begin</a>(), jend=ek.<a class="code" href="group__ExprPkg.html#gaf6048a5030c8fa2511bf5dfee868e653" title="End iterator.">end</a>(); j!=jend; ++j) {
<a name="l01039"></a>01039 <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(j->negate()) > 0) { isTrue=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }
<a name="l01040"></a>01040 newKids[*j]=<span class="keyword">true</span>;
<a name="l01041"></a>01041 }
<a name="l01042"></a>01042 } <span class="keywordflow">else</span> <span class="keywordflow">if</span>(!ek.<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>()) {
<a name="l01043"></a>01043 <span class="keywordflow">if</span>(newKids.<a class="code" href="classCVC3_1_1ExprMap.html#aa96dfa3a54a131cdb0964ef4b80e324f">count</a>(ek.<a class="code" href="group__ExprPkg.html#gab1ce461dc931af73bf04e88c8d37dcbc">negate</a>()) > 0) { isTrue=<span class="keyword">true</span>; <span class="keywordflow">break</span>; }
<a name="l01044"></a>01044 newKids[ek]=<span class="keyword">true</span>;
<a name="l01045"></a>01045 }
<a name="l01046"></a>01046 }
<a name="l01047"></a>01047 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> res;
<a name="l01048"></a>01048 <span class="keywordflow">if</span> (isTrue) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>();
<a name="l01049"></a>01049 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 0) res = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(); <span class="comment">// All kids were FALSE</span>
<a name="l01050"></a>01050 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a62589c597d245f3245df6d6a5fe6f4f1">size</a>() == 1) res = newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>()->first; <span class="comment">// The only child</span>
<a name="l01051"></a>01051 <span class="keywordflow">else</span> {
<a name="l01052"></a>01052 vector<Expr> v;
<a name="l01053"></a>01053 <span class="keywordflow">for</span>(<a class="code" href="classCVC3_1_1ExprMap.html">ExprMap<bool>::iterator</a> i=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a3db85401f8535daf4054fde531cd46b1">begin</a>(), iend=newKids.<a class="code" href="classCVC3_1_1ExprMap.html#a283ae6c44308cbdda0d82da5a16e52c8">end</a>();
<a name="l01054"></a>01054 i!=iend; ++i)
<a name="l01055"></a>01055 v.push_back(i->first);
<a name="l01056"></a>01056 res = <a class="code" href="namespaceCVC3.html#a30f30b6e20c174f21ae63acea8618294">orExpr</a>(v);
<a name="l01057"></a>01057 }
<a name="l01058"></a>01058 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l01059"></a>01059 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_or"</span>, e, res);
<a name="l01060"></a>01060 }
<a name="l01061"></a>01061 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, res, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01062"></a>01062 }
<a name="l01063"></a>01063
<a name="l01064"></a>01064
<a name="l01065"></a>01065 <span class="comment">// ==> NOT TRUE IFF FALSE</span>
<a name="l01066"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a49ce394a818d2ab83b2f97d44cd66f1b">01066</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a49ce394a818d2ab83b2f97d44cd66f1b" title="==> NOT TRUE IFF FALSE">CommonTheoremProducer::rewriteNotTrue</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01067"></a>01067 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01068"></a>01068 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l01069"></a>01069 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#gadf8596df73fa69ff8e6a22b9321f5c34">isTrue</a>(),
<a name="l01070"></a>01070 <span class="stringliteral">"rewriteNotTrue precondition violated"</span>);
<a name="l01071"></a>01071 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01072"></a>01072 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_true"</span>);
<a name="l01073"></a>01073 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#gaae9db4c93c67cbf8bbf5d1e60e94f1ae" title="FALSE Expr.">falseExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01074"></a>01074 }
<a name="l01075"></a>01075
<a name="l01076"></a>01076
<a name="l01077"></a>01077 <span class="comment">// ==> NOT FALSE IFF TRUE</span>
<a name="l01078"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aace9193e3ff294ef6065178a55610e88">01078</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aace9193e3ff294ef6065178a55610e88" title="==> NOT FALSE IFF TRUE">CommonTheoremProducer::rewriteNotFalse</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01079"></a>01079 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01080"></a>01080 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l01081"></a>01081 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga6173f64b22cba76472cd0c814bbf6dae">isFalse</a>(),
<a name="l01082"></a>01082 <span class="stringliteral">"rewriteNotFalse precondition violated"</span>);
<a name="l01083"></a>01083 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01084"></a>01084 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_false"</span>);
<a name="l01085"></a>01085 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01086"></a>01086 }
<a name="l01087"></a>01087
<a name="l01088"></a>01088
<a name="l01089"></a>01089 <span class="comment">// ==> (NOT NOT e) IFF e, takes !!e</span>
<a name="l01090"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84b83e300ddf9e67e427b2815ecff1e7">01090</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84b83e300ddf9e67e427b2815ecff1e7" title="==> NOT NOT e IFF e, takes !!e">CommonTheoremProducer::rewriteNotNot</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01091"></a>01091 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01092"></a>01092 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l01093"></a>01093 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>(),
<a name="l01094"></a>01094 <span class="stringliteral">"rewriteNotNot precondition violated"</span>);
<a name="l01095"></a>01095 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01096"></a>01096 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_not"</span>, e[0][0]);
<a name="l01097"></a>01097 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e[0][0], <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01098"></a>01098 }
<a name="l01099"></a>01099
<a name="l01100"></a>01100 <span class="comment"></span>
<a name="l01101"></a>01101 <span class="comment">//! ==> NOT FORALL (vars): e IFF EXISTS (vars) NOT e</span>
<a name="l01102"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a6241bfc091691a667ed41a9d36d4cab6">01102</a> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a6241bfc091691a667ed41a9d36d4cab6" title="==> NOT FORALL (vars): e IFF EXISTS (vars) NOT e">CommonTheoremProducer::rewriteNotForall</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01103"></a>01103 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l01104"></a>01104 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#gaad6095e1d8b1551a006602d9421fb988">isForall</a>(),
<a name="l01105"></a>01105 <span class="stringliteral">"rewriteNotForall: expr must be NOT FORALL:\n"</span>
<a name="l01106"></a>01106 +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l01107"></a>01107 }
<a name="l01108"></a>01108 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01109"></a>01109 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01110"></a>01110 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_forall"</span>, e);
<a name="l01111"></a>01111 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga0d2ff7603a249b30b2df4e549607ad6e">newClosureExpr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3197625a1bb2264943f5a95f236d9973">EXISTS</a>, e[0].<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>(),
<a name="l01112"></a>01112 !e[0].<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>()), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01113"></a>01113 }
<a name="l01114"></a>01114
<a name="l01115"></a>01115 <span class="comment"></span>
<a name="l01116"></a>01116 <span class="comment">//! ==> NOT EXISTS (vars): e IFF FORALL (vars) NOT e</span>
<a name="l01117"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2535d1565f3f7b830063ad9ae3e1c4e7">01117</a> <span class="comment"></span><a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a2535d1565f3f7b830063ad9ae3e1c4e7" title="==> NOT EXISTS (vars): e IFF FORALL (vars) NOT e">CommonTheoremProducer::rewriteNotExists</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01118"></a>01118 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l01119"></a>01119 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1a898858ccadce833df5a294c7740f11">isNot</a>() && e[0].<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>(),
<a name="l01120"></a>01120 <span class="stringliteral">"rewriteNotExists: expr must be NOT FORALL:\n"</span>
<a name="l01121"></a>01121 +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l01122"></a>01122 }
<a name="l01123"></a>01123 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01124"></a>01124 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01125"></a>01125 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewrite_not_exists"</span>, e);
<a name="l01126"></a>01126 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga0d2ff7603a249b30b2df4e549607ad6e">newClosureExpr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7b7b6f6e2b88589bd4656a14bcb7eb94">FORALL</a>, e[0].<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>(),
<a name="l01127"></a>01127 !e[0].<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>()), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01128"></a>01128 }
<a name="l01129"></a>01129
<a name="l01130"></a>01130
<a name="l01131"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f">01131</a> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f">CommonTheoremProducer::skolemize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)
<a name="l01132"></a>01132 {
<a name="l01133"></a>01133 vector<Expr> vars;
<a name="l01134"></a>01134 <span class="keyword">const</span> vector<Expr>& boundVars = e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>();
<a name="l01135"></a>01135 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<boundVars.size(); i++) {
<a name="l01136"></a>01136 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skolV(e.<a class="code" href="group__ExprPkg.html#ga1311a04a68f4cfae68a82826a3a0c5ad" title="Create a Skolem constant for the i'th variable of an existential (*this)">skolemExpr</a>(i));
<a name="l01137"></a>01137 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> tp(e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>()[i].getType());
<a name="l01138"></a>01138 skolV.setType(tp);
<a name="l01139"></a>01139 vars.push_back(skolV);
<a name="l01140"></a>01140 }
<a name="l01141"></a>01141 <span class="keywordflow">return</span>(e.<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>().<a class="code" href="group__ExprPkg.html#ga95e18015860195a80b317bf756055786">substExpr</a>(boundVars, vars));
<a name="l01142"></a>01142 }
<a name="l01143"></a>01143
<a name="l01144"></a>01144
<a name="l01145"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3bfb1ce883967f3822858b73156f99e9">01145</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3bfb1ce883967f3822858b73156f99e9">CommonTheoremProducer::skolemizeRewrite</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)
<a name="l01146"></a>01146 {
<a name="l01147"></a>01147 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01148"></a>01148 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l01149"></a>01149 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>(), <span class="stringliteral">"skolemize rewrite called on non-existential: "</span>
<a name="l01150"></a>01150 + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l01151"></a>01151 }
<a name="l01152"></a>01152 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skol = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f">skolemize</a>(e);
<a name="l01153"></a>01153 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l01154"></a>01154 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> rw(e.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(skol));
<a name="l01155"></a>01155 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#af4bdd16428b49f295b3d21208dffc0cd" title="Create a new proof label (bound variable) for an assumption (formula)">newLabel</a>(rw);
<a name="l01156"></a>01156 }
<a name="l01157"></a>01157 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"quantlevel"</span>, <span class="stringliteral">"skolemize "</span>, skol, <span class="stringliteral">""</span>);
<a name="l01158"></a>01158 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"quantlevel sko"</span>, <span class="stringliteral">"skolemize "</span>, skol, <span class="stringliteral">""</span>);
<a name="l01159"></a>01159 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"quantlevel sko"</span>, <span class="stringliteral">"skolemize from org "</span>, e, <span class="stringliteral">""</span>);
<a name="l01160"></a>01160 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, skol, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01161"></a>01161
<a name="l01162"></a>01162 }
<a name="l01163"></a>01163
<a name="l01164"></a>01164
<a name="l01165"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b97504309d324b509e18976b93a3c78">01165</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b97504309d324b509e18976b93a3c78" title="Special version of skolemizeRewrite for "EXISTS x. t = x".">CommonTheoremProducer::skolemizeRewriteVar</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e)
<a name="l01166"></a>01166 {
<a name="l01167"></a>01167 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01168"></a>01168 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l01169"></a>01169 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>(), <span class="stringliteral">"skolemizeRewriteVar("</span>
<a name="l01170"></a>01170 +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);
<a name="l01171"></a>01171 }
<a name="l01172"></a>01172
<a name="l01173"></a>01173 <span class="keyword">const</span> vector<Expr>& boundVars = e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>();
<a name="l01174"></a>01174 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& body = e.<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>();
<a name="l01175"></a>01175
<a name="l01176"></a>01176 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l01177"></a>01177 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(boundVars.size()==1, <span class="stringliteral">"skolemizeRewriteVar("</span>
<a name="l01178"></a>01178 +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);
<a name="l01179"></a>01179 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(body.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>() || body.<a class="code" href="group__ExprPkg.html#gabe385fb97505cccb75702378511c5375">isIff</a>(), <span class="stringliteral">"skolemizeRewriteVar("</span>
<a name="l01180"></a>01180 +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);
<a name="l01181"></a>01181 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& v = boundVars[0];
<a name="l01182"></a>01182 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(body[1] == v, <span class="stringliteral">"skolemizeRewriteVar("</span>
<a name="l01183"></a>01183 +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);
<a name="l01184"></a>01184 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(!(v.subExprOf(body[0])), <span class="stringliteral">"skolemizeRewriteVar("</span>
<a name="l01185"></a>01185 +e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);
<a name="l01186"></a>01186 }
<a name="l01187"></a>01187 <span class="comment">// Create the Skolem constant appropriately</span>
<a name="l01188"></a>01188 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skolV(e.<a class="code" href="group__ExprPkg.html#ga1311a04a68f4cfae68a82826a3a0c5ad" title="Create a Skolem constant for the i'th variable of an existential (*this)">skolemExpr</a>(0));
<a name="l01189"></a>01189 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> tp(e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>()[0].getType());
<a name="l01190"></a>01190 skolV.setType(tp);
<a name="l01191"></a>01191 <span class="comment">// Skolemized expression</span>
<a name="l01192"></a>01192 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skol = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(body.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), body[0], skolV);
<a name="l01193"></a>01193
<a name="l01194"></a>01194 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {
<a name="l01195"></a>01195 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> rw(e.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(skol));
<a name="l01196"></a>01196 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#af4bdd16428b49f295b3d21208dffc0cd" title="Create a new proof label (bound variable) for an assumption (formula)">newLabel</a>(rw);
<a name="l01197"></a>01197 }
<a name="l01198"></a>01198 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, skol, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01199"></a>01199 }
<a name="l01200"></a>01200
<a name="l01201"></a>01201
<a name="l01202"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac003e84b85d4f51746628fd0f738b7e3">01202</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac003e84b85d4f51746628fd0f738b7e3" title="|- EXISTS x. e = x">CommonTheoremProducer::varIntroRule</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& phi) {
<a name="l01203"></a>01203 <span class="comment">// This rule is sound for all expressions phi</span>
<a name="l01204"></a>01204 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01205"></a>01205 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> boundVar = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga22dbb23f716cc73378d4c69d564e38dd">newBoundVarExpr</a>(phi.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>());
<a name="l01206"></a>01206
<a name="l01207"></a>01207 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> body;
<a name="l01208"></a>01208 <span class="keywordflow">if</span>(phi.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>().<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>())
<a name="l01209"></a>01209 body = phi.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(boundVar);
<a name="l01210"></a>01210 <span class="keywordflow">else</span>
<a name="l01211"></a>01211 body = phi.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(boundVar);
<a name="l01212"></a>01212
<a name="l01213"></a>01213 std::vector<Expr> v;
<a name="l01214"></a>01214 v.push_back(boundVar);
<a name="l01215"></a>01215 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> result = <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga0d2ff7603a249b30b2df4e549607ad6e">newClosureExpr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3197625a1bb2264943f5a95f236d9973">EXISTS</a>, v, body);
<a name="l01216"></a>01216
<a name="l01217"></a>01217 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01218"></a>01218 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"var_intro"</span>, phi, boundVar);
<a name="l01219"></a>01219 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(result, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01220"></a>01220 }
<a name="l01221"></a>01221
<a name="l01222"></a>01222
<a name="l01223"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a9c3d8d07344147c33394ab68ca490c04">01223</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#adcd56f1052668c269d59b5001a01191f">CommonTheoremProducer::skolemize</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& thm) {
<a name="l01224"></a>01224 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e = thm.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>();
<a name="l01225"></a>01225 <span class="keywordflow">if</span>(e.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>()) {
<a name="l01226"></a>01226 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"skolem"</span>, <span class="stringliteral">"Skolemizing existential:"</span>, <span class="stringliteral">""</span>, <span class="stringliteral">"{"</span>);
<a name="l01227"></a>01227 <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem>::iterator</a> i=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a1cadecbd2d6fa614a2f2e9419aa43f33">find</a>(e),
<a name="l01228"></a>01228 iend=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a2a26c7cc4db12cb17d273db5cfa5a890">end</a>();
<a name="l01229"></a>01229 <span class="keywordflow">if</span>(i!=iend) {
<a name="l01230"></a>01230 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"skolem"</span>, <span class="stringliteral">"Skolemized theorem found in map: "</span>, (*i).second, <span class="stringliteral">"}"</span>);
<a name="l01231"></a>01231 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(thm, (*i).second);
<a name="l01232"></a>01232 }
<a name="l01233"></a>01233 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> skol = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3bfb1ce883967f3822858b73156f99e9">skolemizeRewrite</a>(e);
<a name="l01234"></a>01234 <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i<e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>().size(); i++) {
<a name="l01235"></a>01235 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> skolV(e.<a class="code" href="group__ExprPkg.html#ga1311a04a68f4cfae68a82826a3a0c5ad" title="Create a Skolem constant for the i'th variable of an existential (*this)">skolemExpr</a>(i));
<a name="l01236"></a>01236 <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> tp(e.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>()[i].getType());
<a name="l01237"></a>01237 skolV.setType(tp);
<a name="l01238"></a>01238 }
<a name="l01239"></a>01239 <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3ead097d78257116405995705a98a722">d_skolem_axioms</a>.push_back(skol);
<a name="l01240"></a>01240 <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a664a15046de83b0af599f488cb420022">insert</a>(e, skol, 0);<span class="comment">//d_coreSatAPI->getBottomScope());</span>
<a name="l01241"></a>01241 skol = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(thm, skol);
<a name="l01242"></a>01242
<a name="l01243"></a>01243 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"skolem"</span>, <span class="stringliteral">"skolemized new theorem: "</span>, skol, <span class="stringliteral">"}"</span>);
<a name="l01244"></a>01244 <span class="keywordflow">return</span> skol;
<a name="l01245"></a>01245 }
<a name="l01246"></a>01246 <span class="keywordflow">return</span> thm;
<a name="l01247"></a>01247 }
<a name="l01248"></a>01248
<a name="l01249"></a>01249
<a name="l01250"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84f7da63e9d820ad781efa7e963733aa">01250</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a84f7da63e9d820ad781efa7e963733aa" title="Retrun a theorem "|- e = v" for a new Skolem constant v.">CommonTheoremProducer::varIntroSkolem</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01251"></a>01251 <span class="comment">// First, look up the cache</span>
<a name="l01252"></a>01252 <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem>::iterator</a> i=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a628cb0e578632642b6a2c8d48ddeb890" title="Mapping of e to "|- e = v" for fresh Skolem vars v.">d_skolemVars</a>.<a class="code" href="classCVC3_1_1CDMap.html#a1cadecbd2d6fa614a2f2e9419aa43f33">find</a>(e),
<a name="l01253"></a>01253 iend=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a628cb0e578632642b6a2c8d48ddeb890" title="Mapping of e to "|- e = v" for fresh Skolem vars v.">d_skolemVars</a>.<a class="code" href="classCVC3_1_1CDMap.html#a2a26c7cc4db12cb17d273db5cfa5a890">end</a>();
<a name="l01254"></a>01254 <span class="keywordflow">if</span>(i!=iend) <span class="keywordflow">return</span> (*i).second;
<a name="l01255"></a>01255 <span class="comment">// Not in cache; create a new one</span>
<a name="l01256"></a>01256 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> thm = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ac003e84b85d4f51746628fd0f738b7e3" title="|- EXISTS x. e = x">varIntroRule</a>(e);
<a name="l01257"></a>01257 <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2 = thm.getExpr();
<a name="l01258"></a>01258 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e2.<a class="code" href="group__ExprPkg.html#ga1c922163af59ed6bc101728d65e04d16">isExists</a>() && e2.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>().size()==1, <span class="stringliteral">"varIntroSkolem: e2 = "</span>
<a name="l01259"></a>01259 +e2.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l01260"></a>01260 <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> skolThm;
<a name="l01261"></a>01261 <span class="comment">// Check if we have a corresponding skolemized version already</span>
<a name="l01262"></a>01262 <a class="code" href="classCVC3_1_1CDMap.html">CDMap<Expr, Theorem>::iterator</a> j=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a1cadecbd2d6fa614a2f2e9419aa43f33">find</a>(e2),
<a name="l01263"></a>01263 jend=<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a2a26c7cc4db12cb17d273db5cfa5a890">end</a>();
<a name="l01264"></a>01264 <span class="keywordflow">if</span>(j!=jend) {
<a name="l01265"></a>01265 skolThm = (*i).second;
<a name="l01266"></a>01266 } <span class="keywordflow">else</span> {
<a name="l01267"></a>01267 skolThm = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a5b97504309d324b509e18976b93a3c78" title="Special version of skolemizeRewrite for "EXISTS x. t = x".">skolemizeRewriteVar</a>(e2);
<a name="l01268"></a>01268 <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a3ead097d78257116405995705a98a722">d_skolem_axioms</a>.push_back(skolThm);
<a name="l01269"></a>01269 <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ab4d87623f3ff65970b5c015b39db5987">d_skolemized_thms</a>.<a class="code" href="classCVC3_1_1CDMap.html#a664a15046de83b0af599f488cb420022">insert</a>(e2, skolThm, 0); <span class="comment">//d_coreSatAPI->getBottomScope());</span>
<a name="l01270"></a>01270 }
<a name="l01271"></a>01271 thm = <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(thm, skolThm);
<a name="l01272"></a>01272 <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a628cb0e578632642b6a2c8d48ddeb890" title="Mapping of e to "|- e = v" for fresh Skolem vars v.">d_skolemVars</a>.<a class="code" href="classCVC3_1_1CDMap.html#a664a15046de83b0af599f488cb420022">insert</a>(e, thm, 0); <span class="comment">//d_coreSatAPI->getBottomScope());</span>
<a name="l01273"></a>01273 <span class="keywordflow">return</span> thm;
<a name="l01274"></a>01274 }
<a name="l01275"></a>01275
<a name="l01276"></a>01276
<a name="l01277"></a>01277 <span class="comment">// Derived Rules</span>
<a name="l01278"></a>01278
<a name="l01279"></a>01279
<a name="l01280"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38a1b30499d07384066e9afca89f37c0">01280</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a38a1b30499d07384066e9afca89f37c0" title="==> TRUE">CommonTheoremProducer::trueTheorem</a>()
<a name="l01281"></a>01281 {
<a name="l01282"></a>01282 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a40da8d343ef923020c472eaace6e8122">iffTrueElim</a>(<a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a306058f7ced3d7220b2d1a40892faae7">reflexivityRule</a>(<a class="code" href="classCVC3_1_1TheoremProducer.html#a1b706238281ad141a57363a6890f14a5">d_em</a>-><a class="code" href="group__EM__Priv.html#ga4471fca49c2acbb7b4cf71e72bc55d6a" title="TRUE Expr.">trueExpr</a>()));
<a name="l01283"></a>01283 }
<a name="l01284"></a>01284
<a name="l01285"></a>01285
<a name="l01286"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a1f2d422ab4dd1297fbf6c4295a430f32">01286</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1" title="==> AND(e1,e2) IFF [simplified expr]">CommonTheoremProducer::rewriteAnd</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e)
<a name="l01287"></a>01287 {
<a name="l01288"></a>01288 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(e, <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#ad74cb42b63d2f92b55c79281e84816c1" title="==> AND(e1,e2) IFF [simplified expr]">rewriteAnd</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()));
<a name="l01289"></a>01289 }
<a name="l01290"></a>01290
<a name="l01291"></a>01291
<a name="l01292"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a9f135d57462754cd9903190d4fe4aec8">01292</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2" title="==> OR(e1,...,en) IFF [simplified expr]">CommonTheoremProducer::rewriteOr</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e)
<a name="l01293"></a>01293 {
<a name="l01294"></a>01294 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a98f862538ac375b133079c336c539b22">iffMP</a>(e, <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#aa0d6b0fbe3838ae22b4a90d92d1530e2" title="==> OR(e1,...,en) IFF [simplified expr]">rewriteOr</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()));
<a name="l01295"></a>01295 }
<a name="l01296"></a>01296
<a name="l01297"></a>01297
<a name="l01298"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a752f5927047540cc10f67d3d5ed179a7">01298</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a752f5927047540cc10f67d3d5ed179a7">CommonTheoremProducer::ackermann</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e1, <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e2)
<a name="l01299"></a>01299 {
<a name="l01300"></a>01300 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01301"></a>01301 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>)
<a name="l01302"></a>01302 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e1.<a class="code" href="group__ExprPkg.html#ga1d6a6b4a9ce81b0dd8fd74870ff4284b">isApply</a>() && e2.<a class="code" href="group__ExprPkg.html#ga1d6a6b4a9ce81b0dd8fd74870ff4284b">isApply</a>() && e1.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>() == e2.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(),
<a name="l01303"></a>01303 <span class="stringliteral">"ackermann precondition violated"</span>);
<a name="l01304"></a>01304 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> hyp;
<a name="l01305"></a>01305 <span class="keywordtype">int</span> ar = e1.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>();
<a name="l01306"></a>01306 <span class="keywordflow">if</span> (ar == 1) {
<a name="l01307"></a>01307 hyp = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e1[0].eqExpr(e2[0]));
<a name="l01308"></a>01308 }
<a name="l01309"></a>01309 <span class="keywordflow">else</span> {
<a name="l01310"></a>01310 vector<Expr> vec;
<a name="l01311"></a>01311 <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i != ar; ++i) {
<a name="l01312"></a>01312 vec.push_back(e1[i].eqExpr(e2[i]));
<a name="l01313"></a>01313 }
<a name="l01314"></a>01314 hyp = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba865555c9f2e0458a7078486aa1b3254f">AND</a>, vec);
<a name="l01315"></a>01315 }
<a name="l01316"></a>01316 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01317"></a>01317 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"ackermann"</span>, e1, e2);
<a name="l01318"></a>01318 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#ab3afa2471d244b129865548afe06ca89" title="Create a new theorem. See also newRWTheorem() and newReflTheorem()">newTheorem</a>(hyp.impExpr(e1.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(e2)), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01319"></a>01319 }
<a name="l01320"></a>01320
<a name="l01321"></a>01321
<a name="l01322"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf">01322</a> <span class="keywordtype">void</span> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf" title="Helper function for liftOneITE.">CommonTheoremProducer::findITE</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& condition, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& thenpart, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& elsepart)
<a name="l01323"></a>01323 {
<a name="l01324"></a>01324 <span class="keywordflow">if</span> (!e.<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>().<a class="code" href="classCVC3_1_1Type.html#a38bba404056eadf3c283a67ab2347e02">isBool</a>() && e.<a class="code" href="group__ExprPkg.html#gaef13fa4752a1fb28e129a1efd0e26f01">isITE</a>()) {
<a name="l01325"></a>01325 condition = e[0];
<a name="l01326"></a>01326 <span class="keywordflow">if</span> (!condition.<a class="code" href="group__ExprPkg.html#gaf53e6a6f9dc01481d2cf94673c5505ce" title="Return whether Expr contains a non-bool type ITE as a sub-term.">containsTermITE</a>()) {
<a name="l01327"></a>01327 thenpart = e[1];
<a name="l01328"></a>01328 elsepart = e[2];
<a name="l01329"></a>01329 <span class="keywordflow">return</span>;
<a name="l01330"></a>01330 }
<a name="l01331"></a>01331 }
<a name="l01332"></a>01332
<a name="l01333"></a>01333 vector<Expr> kids;
<a name="l01334"></a>01334 <span class="keywordtype">int</span> i = 0;
<a name="l01335"></a>01335 <span class="keywordflow">for</span> (; i < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++i) {
<a name="l01336"></a>01336 <span class="keywordflow">if</span> (e[i].containsTermITE()) <span class="keywordflow">break</span>;
<a name="l01337"></a>01337 kids.push_back(e[i]);
<a name="l01338"></a>01338 }
<a name="l01339"></a>01339
<a name="l01340"></a>01340 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l01341"></a>01341 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(i < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(), <span class="stringliteral">"could not find ITE"</span>);
<a name="l01342"></a>01342 }
<a name="l01343"></a>01343
<a name="l01344"></a>01344 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> t2, e2;
<a name="l01345"></a>01345 <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf" title="Helper function for liftOneITE.">findITE</a>(e[i], condition, t2, e2);
<a name="l01346"></a>01346
<a name="l01347"></a>01347 kids.push_back(t2);
<a name="l01348"></a>01348 <span class="keywordflow">for</span>(<span class="keywordtype">int</span> k = i+1; k < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++k) {
<a name="l01349"></a>01349 kids.push_back(e[k]);
<a name="l01350"></a>01350 }
<a name="l01351"></a>01351
<a name="l01352"></a>01352 thenpart = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), kids);
<a name="l01353"></a>01353
<a name="l01354"></a>01354 kids[i] = e2;
<a name="l01355"></a>01355 elsepart = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(e.<a class="code" href="group__ExprPkg.html#gace479f04faca399219496195152f7806" title="Get operator from expression.">getOp</a>(), kids);
<a name="l01356"></a>01356 }
<a name="l01357"></a>01357
<a name="l01358"></a>01358
<a name="l01359"></a><a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a749d1c718f05307dad5dcc3f6d2296a2">01359</a> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a749d1c718f05307dad5dcc3f6d2296a2">CommonTheoremProducer::liftOneITE</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {
<a name="l01360"></a>01360
<a name="l01361"></a>01361 <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {
<a name="l01362"></a>01362 <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#gaf53e6a6f9dc01481d2cf94673c5505ce" title="Return whether Expr contains a non-bool type ITE as a sub-term.">containsTermITE</a>(), <span class="stringliteral">"CommonTheoremProducer::liftOneITE: bad input"</span> + e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>());
<a name="l01363"></a>01363 }
<a name="l01364"></a>01364
<a name="l01365"></a>01365 <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> cond, thenpart, elsepart;
<a name="l01366"></a>01366
<a name="l01367"></a>01367 <a class="code" href="classCVC3_1_1CommonTheoremProducer.html#a78038ee1c3cd8d3657a0261ce2f35eaf" title="Helper function for liftOneITE.">findITE</a>(e, cond, thenpart, elsepart);
<a name="l01368"></a>01368
<a name="l01369"></a>01369 <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;
<a name="l01370"></a>01370 <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())
<a name="l01371"></a>01371 pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"lift_one_ite"</span>, e);
<a name="l01372"></a>01372
<a name="l01373"></a>01373 <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, cond.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(thenpart, elsepart), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);
<a name="l01374"></a>01374 }
</pre></div></div>
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