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<div class="title">datatype_theorem_producer.cpp</div> </div>
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<a href="datatype__theorem__producer_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/*****************************************************************************/</span><span class="comment"></span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">/*!</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *\file datatype_theorem_producer.cpp</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *\brief TRUSTED implementation of recursive datatype rules</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * Author: Clark Barrett</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * Created: Mon Jan 10 15:43:39 2005</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> * and its documentation for any purpose is hereby granted without</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"> * LICENSE file provided with this distribution.</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> * <hr></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * </span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">/*****************************************************************************/</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">// This code is trusted</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"><a class="code" href="datatype__theorem__producer_8cpp.html#a8663c36bbf15bb5a0dcb01b97897fa95"> 24</a></span> <span class="preprocessor">#define _CVC3_TRUSTED_</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="datatype__theorem__producer_8h.html" title="TRUSTED implementation of recursive datatype proof rules.">datatype_theorem_producer.h</a>"</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="theory__datatype_8h.html">theory_datatype.h</a>"</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="theory__core_8h.html">theory_core.h</a>"</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">using namespace </span>std;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="keyword">using namespace </span>CVC3;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"></span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span><span class="comment">// TheoryDatatype: trusted method for creating DatatypeTheoremProducer</span><span class="comment"></span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment">////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"></span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <a class="code" href="classCVC3_1_1DatatypeProofRules.html">DatatypeProofRules</a>*</div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="code" href="classCVC3_1_1TheoryDatatype.html#a2c187b27067bc4d794cac14046216598"> 42</a></span> TheoryDatatype::createProofRules() {</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="classCVC3_1_1DatatypeTheoremProducer.html">DatatypeTheoremProducer</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  </div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"></span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"></span><span class="comment">// Proof rules</span><span class="comment"></span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"></span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a name="l00052"></a><span class="lineno"><a class="code" href="classCVC3_1_1DatatypeTheoremProducer.html#a7f854db0d043c723aa9d4436064dc4e1"> 52</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> DatatypeTheoremProducer::dummyTheorem(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1CDList.html">CDList<Theorem></a>& facts,</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  vector<Theorem> thmVec;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> i = 0; i < facts.<a class="code" href="classCVC3_1_1CDList.html#adf92d0f391d73e7ac70da57db135af27">size</a>(); ++i)</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  thmVec.push_back(facts[i]);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thmVec); </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">return</span> newTheorem(e, a, pf);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> }</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a name="l00063"></a><span class="lineno"><a class="code" href="classCVC3_1_1DatatypeTheoremProducer.html#af9bedcb0fceb3b92975fef0e052d5029"> 63</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> DatatypeTheoremProducer::rewriteSelCons(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1CDList.html">CDList<Theorem></a>& facts,</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="namespaceCVC3.html#afdcf0b93fc0d1b03a5a14c4988443c7a">isSelector</a>(e), <span class="stringliteral">"Selector expected"</span>);</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(d_theoryDatatype->canCollapse(e), <span class="stringliteral">"Expected canCollapse"</span>);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  }</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> t;</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  pair<Expr, unsigned> selectorInfo =</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  d_theoryDatatype->getSelectorInfo(e.<a class="code" href="group__ExprPkg.html#ga9f3328fe077191803a780cfd6566ff9b" title="Get expression of operator (for APPLY Exprs only)">getOpExpr</a>());</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceCVC3.html#a91840d293c43120244ce5b5165bdacc4">isConstructor</a>(e[0]) &&</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  selectorInfo.first == <a class="code" href="namespaceCVC3.html#ac1eec763ed1ae5d0f52c4bed47d6fee5">getConstructor</a>(e[0])) {</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  t = e[0][selectorInfo.second];</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  }</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> selTypeExpr = e.<a class="code" href="group__ExprPkg.html#ga9f3328fe077191803a780cfd6566ff9b" title="Get expression of operator (for APPLY Exprs only)">getOpExpr</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#a0bc1eebf8dbd9d2880e1f18d7804e5c2">getExpr</a>();</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> type = <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a>(selTypeExpr[selTypeExpr.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>()-1]);</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  t = d_theoryDatatype->getConstant(type);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  }</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewriteSelCons"</span>, e, t);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">if</span> (!<a class="code" href="namespaceCVC3.html#a91840d293c43120244ce5b5165bdacc4">isConstructor</a>(e[0])) {</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  vector<Theorem> thmVec;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> i = 0; i < facts.<a class="code" href="classCVC3_1_1CDList.html#adf92d0f391d73e7ac70da57db135af27">size</a>(); ++i)</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  thmVec.push_back(facts[i]);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(thmVec); </div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> newRWTheorem(e, t, a, pf);</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">return</span> newRWTheorem(e, t, Assumptions::emptyAssump(), pf);</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> }</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a name="l00099"></a><span class="lineno"><a class="code" href="classCVC3_1_1DatatypeTheoremProducer.html#a789906697a69645f117c5d4cab0242de"> 99</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> DatatypeTheoremProducer::rewriteTestCons(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="namespaceCVC3.html#a8297278831bf83882f7c6a1e3c84fa98">isTester</a>(e), <span class="stringliteral">"Tester expected"</span>);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="namespaceCVC3.html#a91840d293c43120244ce5b5165bdacc4">isConstructor</a>(e[0]), <span class="stringliteral">"Expected Test(Cons)"</span>);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> t;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> cons = d_theoryDatatype->getConsForTester(e.<a class="code" href="group__ExprPkg.html#ga9f3328fe077191803a780cfd6566ff9b" title="Get expression of operator (for APPLY Exprs only)">getOpExpr</a>());</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">if</span> (cons == <a class="code" href="namespaceCVC3.html#ac1eec763ed1ae5d0f52c4bed47d6fee5">getConstructor</a>(e[0])) {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  t = d_theoryDatatype->trueExpr();</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  t = d_theoryDatatype->falseExpr();</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  }</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"rewriteTestCons"</span>, e, t);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">return</span> newRWTheorem(e, t, Assumptions::emptyAssump(), pf);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> }</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a name="l00118"></a><span class="lineno"><a class="code" href="classCVC3_1_1DatatypeTheoremProducer.html#a687356f66679a7fb1a0094505b1ece0e"> 118</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> DatatypeTheoremProducer::decompose(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e) {</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(), <span class="stringliteral">"decompose: expected rewrite"</span>);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  }</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <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>();</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& rhs = e.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="namespaceCVC3.html#a91840d293c43120244ce5b5165bdacc4">isConstructor</a>(lhs) && <a class="code" href="namespaceCVC3.html#a91840d293c43120244ce5b5165bdacc4">isConstructor</a>(rhs) &&</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  lhs.<a class="code" href="group__ExprPkg.html#ga1d6a6b4a9ce81b0dd8fd74870ff4284b">isApply</a>() && rhs.<a class="code" href="group__ExprPkg.html#ga1d6a6b4a9ce81b0dd8fd74870ff4284b">isApply</a>() &&</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  lhs.<a class="code" href="group__ExprPkg.html#ga9f3328fe077191803a780cfd6566ff9b" title="Get expression of operator (for APPLY Exprs only)">getOpExpr</a>() == rhs.<a class="code" href="group__ExprPkg.html#ga9f3328fe077191803a780cfd6566ff9b" title="Get expression of operator (for APPLY Exprs only)">getOpExpr</a>() &&</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  lhs.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() > 0 && lhs.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() == rhs.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(),</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="stringliteral">"decompose precondition violated"</span>);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  }</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a> a(e);</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> res = lhs[0].<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(rhs[0]);</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">if</span> (lhs.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() > 1) {</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  vector<Expr> args;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  args.push_back(res);</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i < lhs.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++i) {</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  args.push_back(lhs[i].eqExpr(rhs[i]));</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  res = <a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(args);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"decompose"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">return</span> newTheorem(res, a, pf);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"><a class="code" href="classCVC3_1_1DatatypeTheoremProducer.html#a4ea6f48ee0df1086af985dad4e330fd5"> 147</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> DatatypeTheoremProducer::noCycle(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& e) {</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(<a class="code" href="namespaceCVC3.html#a91840d293c43120244ce5b5165bdacc4">isConstructor</a>(e) && e.<a class="code" href="group__ExprPkg.html#ga1d6a6b4a9ce81b0dd8fd74870ff4284b">isApply</a>() && e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>() > 0,</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="stringliteral">"noCycle: expected constructor with children"</span>);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> t = e.<a class="code" href="group__ExprPkg.html#ga9f3328fe077191803a780cfd6566ff9b" title="Get expression of operator (for APPLY Exprs only)">getOpExpr</a>().<a class="code" href="group__ExprPkg.html#ga42929221eb172250697b72c28af6de07" title="Get the type. Recursively compute if necessary.">getType</a>();</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  t = t[t.<a class="code" href="classCVC3_1_1Type.html#abd7ab3fcb112e27aa05da8981b56e02c">arity</a>()-1];</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Op.html">Op</a>& reach = d_theoryDatatype->getReachablePredicate(t);</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  vector<Expr> args;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  args.push_back(!<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(reach, e, e));</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < e.<a class="code" href="group__ExprPkg.html#ga28b901d05e52a5c646f83a95cc74f94b">arity</a>(); ++i) {</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">if</span> (<a class="code" href="namespaceCVC3.html#a88890c6bdae30ff688fd2ea5bd799676">isDatatype</a>(e[i].getType()) &&</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  d_theoryDatatype->getReachablePredicate(e[i].getType()) == reach)</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  args.push_back(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(reach, e, e[i]));</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  }</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">if</span> (withProof()) pf = newPf(<span class="stringliteral">"noCycle"</span>, e);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">return</span> newTheorem(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(args), Assumptions::emptyAssump(), pf);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> }</div>
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