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<div class="title">array_theorem_producer.cpp</div> </div>
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<a href="array__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 array_theorem_producer.cpp</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * \brief Description: TRUSTED implementation of array proof 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: Thu May 29 14:02:16 2003</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="array__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="array__theorem__producer_8h.html">array_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__array_8h.html">theory_array.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">// TheoryArray: trusted method for creating ArrayTheoremProducer</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"><a class="code" href="classCVC3_1_1TheoryArray.html#a5b53e3f645da3208478edb182e8bcd8e"> 41</a></span> <a class="code" href="classCVC3_1_1ArrayProofRules.html">ArrayProofRules</a>* TheoryArray::createProofRules() {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html">ArrayTheoremProducer</a>(<span class="keyword">this</span>);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</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"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a8722003347f46425828e98393be8bb95"> 46</a></span> ArrayTheoremProducer::ArrayTheoremProducer(<a class="code" href="classCVC3_1_1TheoryArray.html" title="This theory handles arrays.">TheoryArray</a>* theoryArray)</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  : <a class="code" href="classCVC3_1_1TheoremProducer.html">TheoremProducer</a>(theoryArray->theoryCore()->getTM()),</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  d_theoryArray(theoryArray)</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> {}</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"></span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"></span><span class="comment">// Proof rules</span><span class="comment"></span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment">////////////////////////////////////////////////////////////////////</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"></span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> </div>
<div class="line"><a name="l00057"></a><span class="lineno"><a class="code" href="array__theorem__producer_8cpp.html#a79f2713d570c7065f61a160134ea765b"> 57</a></span> <span class="preprocessor">#define CLASS_NAME "CVC3::ArrayTheoremProducer"</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// ==></span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// write(store, index_0, v_0, index_1, v_1, ..., index_n, v_n) = store IFF</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment">//</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// read(store, index_n) = v_n &</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// index_{n-1} != index_n -> read(store, index_{n-1}) = v_{n-1} &</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment">// (index_{n-2} != index_{n-1} & index_{n-2} != index_n) -> read(store, index_{n-2}) = v_{n-2} &</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// ...</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// (index_1 != index_2 & ... & index_1 != index_n) -> read(store, index_1) = v_1</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// (index_0 != index_1 & index_0 != index_2 & ... & index_0 != index_n) -> read(store, index_0) = v_0</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a0ab9aba97b1937710a9eba916ae02c05"> 70</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a0ab9aba97b1937710a9eba916ae02c05">ArrayTheoremProducer::rewriteSameStore</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> n)</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>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>(), <span class="stringliteral">"EQ expected"</span>);</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e1 = e[0];</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordtype">int</span> N = 0;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="keywordflow">while</span> (<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e1)) { N++; e1 = e1[0]; }</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(N == n && n > 0, <span class="stringliteral">"Counting error"</span>);</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e1 == e[1], <span class="stringliteral">"Stores do not match"</span>);</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  )</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  </div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> write_i, write_j, index_i, index_j, hyp, conc, result;</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordtype">int</span> i, j;</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  write_i = e[0];</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keywordflow">for</span> (i = n-1; i >= 0; --i) {</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  index_i = write_i[1];</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="comment">// build: [index_i /= index_n && index_i /= index_(n-1) &&</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// ... && index_i /= index_(i+1)] -> read(store, index_i) = v_i</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  write_j = e[0];</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">for</span> (j = n - 1; j > i; --j) {</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  index_j = write_j[1];</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> hyp2(!((index_i.getType().isBool())? </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  index_i.iffExpr(index_j) : index_i.eqExpr(index_j)));</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keywordflow">if</span> (hyp.isNull()) hyp = hyp2;</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keywordflow">else</span> hyp = hyp && hyp2;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  write_j = write_j[0];</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> r1(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, e[1], index_i));</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  conc = (r1.<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>())? </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  r1.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(write_i[2]) : r1.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(write_i[2]);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keywordflow">if</span> (!hyp.isNull()) conc = hyp.<a class="code" href="group__ExprPkg.html#ga8dd97bcdeb9d8870238f94a263fd083b">impExpr</a>(conc);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// And into result</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">if</span> (result.isNull()) result = conc;</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">else</span> result = result && conc;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">// Prepare for next iteration</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  write_i = write_i[0];</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  hyp = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>();</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> (<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#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewriteSameStore"</span>, e);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, result, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), 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"> 118</span> <span class="comment">// ==> write(store, index, value) = write(...) IFF</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// store = write(write(...), index, read(store, index)) &</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// value = read(write(...), index)</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a45d175085355a9ff4215371c08fae566"> 122</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a45d175085355a9ff4215371c08fae566">ArrayTheoremProducer::rewriteWriteWrite</a>(<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="l00123"></a><span class="lineno"> 123</span> {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(e.<a class="code" href="group__ExprPkg.html#gac4af2026c180da0f18d66ac616f61f3a">isEq</a>(), <span class="stringliteral">"EQ expected"</span>);</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e[0]) && <a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e[1]),</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="stringliteral">"Expected WRITE = WRITE"</span>);</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  )</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& <a class="code" href="namespaceMiniSat.html#ad93cb56673487974071ed3b75bf4ea83">left</a> = e[0];</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& <a class="code" href="namespaceMiniSat.html#a82558b7a36c52f5d3211d5d14bed99d4">right</a> = e[1];</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& store = left[0];</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& index = left[1];</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& value = left[2];</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e1 = (store.<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>())?</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  store.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781a33b0829ff24c1e0d27de00d675267297">WRITE</a>, right, index, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, store, index)))</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  : store.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781a33b0829ff24c1e0d27de00d675267297">WRITE</a>, right, index, <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, store, index)));</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> e2 = (value.<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>()) ?</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  value.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, right, index)) :</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  value.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, right, index));</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <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#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewriteWriteWrite"</span>, e);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, e1.<a class="code" href="group__ExprPkg.html#ga6c3651465ce69ed5f4e6fd461b9acf3c">andExpr</a>(e2), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> }</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> <span class="comment">// ==> read(write(store, index1, value), index2) =</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="comment">// ite(index1 = index2, value, read(store, index2))</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00149"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a508cb6e565c59ad0e91ee380774ea379"> 149</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a508cb6e565c59ad0e91ee380774ea379">ArrayTheoremProducer::rewriteReadWrite</a>(<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="l00150"></a><span class="lineno"> 150</span> {</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#a970e5543468dfa1fb19e6e256b022370">isRead</a>(e), <span class="stringliteral">"Read expected"</span>);</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e[0]), <span class="stringliteral">"Expected Read(Write)"</span>);</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  )</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& store = e[0][0];</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& index1 = e[0][1];</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& value = e[0][2];</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& index2 = e[1];</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> indexCond = (index1.<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>())?</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  index1.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(index2) : index1.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(index2);</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <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#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewriteReadWrite"</span>, e);</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, indexCond.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(value,</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, store, index2)), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</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> </div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// e = read(write(store, index1, value), index2):</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// ==> ite(index1 = index2,</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// read(write(store, index1, value), index2) = value,</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment">// read(write(store, index1, value), index2) = read(store, index2))</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00173"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a5b6d56f4f0f05cb3671b3c01b293d3bc"> 173</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a5b6d56f4f0f05cb3671b3c01b293d3bc">ArrayTheoremProducer::rewriteReadWrite2</a>(<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="l00174"></a><span class="lineno"> 174</span> {</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <a class="code" href="debug_8h.html#a600cb2d68efe7cc413cccbb5714c7016">IF_DEBUG</a>(</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#a970e5543468dfa1fb19e6e256b022370">isRead</a>(e), <span class="stringliteral">"Read expected"</span>);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e[0]), <span class="stringliteral">"Expected Read(Write)"</span>);</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  )</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& store = e[0][0];</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& index1 = e[0][1];</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& value = e[0][2];</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& index2 = e[1];</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> indexCond = (index1.<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>())?</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  index1.<a class="code" href="group__ExprPkg.html#gaae017ca8e68af655ba285c985dd9fba5">iffExpr</a>(index2) : index1.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(index2);</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <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#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewriteReadWrite2"</span>, e);</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <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>(indexCond.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(e.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(value),</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  e.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, store, index2))),</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> }</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// read(store, index) = value ==></span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// write(store, index, value) = store</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment">//</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment">// More general case:</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment">//</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// read(store, index_n) = value_n ==></span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// write(store, index_0, v_0, index_1, v_1, ..., index_n, value_n) =</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// write(store, index_0, ite(index_n = index_0, value_n, v_0),</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// index_1, ite(index_n = index_1, value_n, v_1),</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// ...</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// index_{n-1}, ite(index_n = index_{n-1}, value_n, value_{n-1}))</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a1b4dd97c680555f98834c0c2eb63beca"> 205</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a1b4dd97c680555f98834c0c2eb63beca">ArrayTheoremProducer::rewriteRedundantWrite1</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& r_eq_v,</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& write)</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span> {</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(r_eq_v.<a class="code" href="classCVC3_1_1Theorem.html#a362c1d70e03803d804bbe300e5f6dc87">isRewrite</a>(), <span class="stringliteral">"Expected equation"</span>);</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#a970e5543468dfa1fb19e6e256b022370">isRead</a>(r_eq_v.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>()), <span class="stringliteral">"Expected Read"</span>);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& index = r_eq_v.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>()[1];</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& value = r_eq_v.<a class="code" href="classCVC3_1_1Theorem.html#a97d957fcbf9094480851b1d2e5d3729f">getRHS</a>();</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(write) &&</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  index == write[1] && value == write[2],</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="stringliteral">"Error in parameters to rewriteRedundantWrite1"</span>);</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  vector<Expr> indices;</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  vector<Expr> values;</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> store = write[0];</div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordflow">while</span> (<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(store)) {</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  indices.push_back(store[1]);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  values.push_back(store[2]);</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  store = store[0];</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(store == r_eq_v.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>()[0],</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="stringliteral">"Store does not match in rewriteRedundantWrite"</span>);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keywordflow">while</span> (!indices.empty()) {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  store = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781a33b0829ff24c1e0d27de00d675267297">WRITE</a>, store, indices.back(),</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  index.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(indices.back()).iteExpr(value, values.back()));</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  indices.pop_back();</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  values.pop_back();</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  }</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewriteRedundantWrite1"</span>, write, r_eq_v.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  }</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(write, store, r_eq_v.<a class="code" href="classCVC3_1_1Theorem.html#a5e9ab00a613df15cc02f55edb55a67b3">getAssumptionsRef</a>(), pf);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> }</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="comment">// ==></span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="comment">// write(write(store, index, v1), index, v2) = write(store, index, v2)</span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00244"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a4eb3fa026164aa36735dde9de93067e6"> 244</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a4eb3fa026164aa36735dde9de93067e6">ArrayTheoremProducer::rewriteRedundantWrite2</a>(<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="l00245"></a><span class="lineno"> 245</span> {</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e) && <a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e[0]) &&</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  e[0][1] == e[1],</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="stringliteral">"Error in parameters to rewriteRedundantWrite2"</span>);</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  </div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"rewriteRedundantWrite2"</span>, e);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  }</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <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_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781a33b0829ff24c1e0d27de00d675267297">WRITE</a>, e[0][0], e[1], e[2]), <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> }</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> <span class="comment">// ==></span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> <span class="comment">// write(write(store, index1, v1), index2, v2) =</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="comment">// write(write(store, index2, v2), index1, ite(index1 = index2, v2, v1))</span></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00264"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a531007d953fd91a89f9d273cf04d2196"> 264</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a531007d953fd91a89f9d273cf04d2196">ArrayTheoremProducer::interchangeIndices</a>(<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="l00265"></a><span class="lineno"> 265</span> {</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(<a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e) && <a class="code" href="namespaceCVC3.html#abdc2f55e0df529954fc271499242351c">isWrite</a>(e[0]),</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="stringliteral">"Error in parameters to interchangeIndices"</span>);</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  </div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>()) {</div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"interchangeIndices"</span>, e);</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> w0 = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781a33b0829ff24c1e0d27de00d675267297">WRITE</a>, e[0][0], e[1], e[2]);</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> indexCond = (e[0][1].<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>())?</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  e[0][1].iffExpr(e[1]) : e[0][1].<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(e[1]);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> w2 = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781a33b0829ff24c1e0d27de00d675267297">WRITE</a>, w0, e[0][1], indexCond.<a class="code" href="group__ExprPkg.html#ga5532cabad6f699c57da32a8db65a38da">iteExpr</a>(e[2], e[0][2]));</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, w2, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> }</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a></div>
<div class="line"><a name="l00284"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a8c0cbeb8e41da7e06528641cdf3be3fb"> 284</a></span> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a8c0cbeb8e41da7e06528641cdf3be3fb" title="Beta reduction of array literal: |- (array x. f(x))[arg] = f(arg)">ArrayTheoremProducer::readArrayLiteral</a>(<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="l00285"></a><span class="lineno"> 285</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>,</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="stringliteral">"ArrayTheoremProducer::readArrayLiteral("</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  +<span class="stringliteral">"):\n\n expression is not a READ"</span>);</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> </div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> arrayLit(e[0]);</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">if</span> (<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(arrayLit.<a class="code" href="group__ExprPkg.html#ga3127f52184d5bcb2d4056cb23f3a292b">isClosure</a>() && arrayLit.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>()==<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781a9e6a1f69d18953ab05c21b660abbb0f0">ARRAY_LITERAL</a>,</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  <span class="stringliteral">"ArrayTheoremProducer::readArrayLiteral("</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">")"</span>);</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  }</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> body(arrayLit.<a class="code" href="group__ExprPkg.html#ga9060193194020fee3dac69ed1876a940" title="Get the body of the closure Expr.">getBody</a>());</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keyword">const</span> vector<Expr>& vars = arrayLit.<a class="code" href="group__ExprPkg.html#gaad22e223d0e273780557aca9d87620cd" title="Get bound variables from a closure Expr.">getVars</a>();</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(vars.size() == 1, </div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="stringliteral">"ArrayTheoremProducer::readArrayLiteral("</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()+<span class="stringliteral">"):\n"</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  +<span class="stringliteral">"wrong number of bound variables"</span>);</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  }</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span> </div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="comment">// Use the Expr's efficient substitution</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  vector<Expr> ind;</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  ind.push_back(e[1]);</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  body = body.substExpr(vars, ind);</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="keywordflow">if</span>(<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"read_array_literal"</span>, e);</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keywordflow">return</span> <a class="code" href="classCVC3_1_1TheoremProducer.html#a1b12639479f7d06736c643d43d714e90" title="Create a rewrite theorem: lhs = rhs.">newRWTheorem</a>(e, body, <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> }</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span> </div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> </div>
<div class="line"><a name="l00319"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#ac8a296684897a290c2894d4e8fee962b"> 319</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#ac8a296684897a290c2894d4e8fee962b" title="Lift ite over read.">ArrayTheoremProducer::liftReadIte</a>(<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="l00320"></a><span class="lineno"> 320</span> {</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="theorem__producer_8h.html#a03dbe872f723d32fd975528f811d646e">CHECK_SOUND</a>(e.<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a> && e[0].<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3a4cfaf3eae8eac1dc2fd27d9f0994dc">ITE</a>,</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="stringliteral">"ArrayTheoremProducer::liftReadIte("</span>+e.<a class="code" href="group__ExprPkg.html#gaf3028bb1619f8cc69b66ec712e1adb54" title="Print the expression to a string.">toString</a>()</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  +<span class="stringliteral">"):\n\n expression is not READ(ITE..."</span>);</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  }</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& ite = e[0];</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"lift_read_ite"</span>,e);</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  <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_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3a4cfaf3eae8eac1dc2fd27d9f0994dc">ITE</a>, ite[0], <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, ite[1], e[1]),</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, ite[2], e[1])),</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <a class="code" href="classCVC3_1_1Assumptions.html#af309a39e2e013cc62b6d94c5812ad86b">Assumptions::emptyAssump</a>(), pf);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> }</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span> </div>
<div class="line"><a name="l00338"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#ae644c310ea0d55518a2505acc4e3cc1d"> 338</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#ae644c310ea0d55518a2505acc4e3cc1d" title="a /= b |- exists i. a[i] /= b[i]">ArrayTheoremProducer::arrayNotEq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& e)</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span> {</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keywordflow">if</span>(<a class="code" href="theorem__producer_8h.html#a74a97b789e1a9e6c016291960c657445">CHECK_PROOFS</a>) {</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <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#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba0378ebc895849163b249d0b330257dd6">NOT</a> &&</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0].<a class="code" href="group__ExprPkg.html#ga7814e4f55f65c7ca860c637413df5f4d">getKind</a>() == <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba9efdc855f3c1477957fb50affec07f8f">EQ</a> &&</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="namespaceCVC3.html#abb990c58eff7370233a56098a732fc46">isArray</a>(<a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#aa1f4b0ec8f008f77bff2bcfac4ce056d">d_theoryArray</a>-><a class="code" href="classCVC3_1_1Theory.html#aa408fe61c3d28f4333b78a3027606bb8" title="Compute (or look up in cache) the base type of e and return the result.">getBaseType</a>(e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0][0])),</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="stringliteral">"ArrayTheoremProducer::arrayNotEq("</span>+e.<a class="code" href="classCVC3_1_1Theorem.html#ac4b1c9570ffb9cc901627ef2abb9ff77">toString</a>()</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  +<span class="stringliteral">"):\n\n expression is ill-formed"</span>);</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  }</div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> eq = e.<a class="code" href="classCVC3_1_1Theorem.html#af2b97ae5d270ddf1013bf4f3867a7e5d">getExpr</a>()[0];</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> </div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"array_not_eq"</span>, e.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> </div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> arrType = <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#aa1f4b0ec8f008f77bff2bcfac4ce056d">d_theoryArray</a>-><a class="code" href="classCVC3_1_1Theory.html#aa408fe61c3d28f4333b78a3027606bb8" title="Compute (or look up in cache) the base type of e and return the result.">getBaseType</a>(eq[0]);</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a> indType = <a class="code" href="classCVC3_1_1Type.html" title="MS C++ specific settings.">Type</a>(arrType.getExpr()[0]);</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> var = <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#aa1f4b0ec8f008f77bff2bcfac4ce056d">d_theoryArray</a>-><a class="code" href="classCVC3_1_1Theory.html#abc2e30308c9e1f3cf752cfe8d939df1e" title="Access to ExprManager.">getEM</a>()-><a class="code" href="group__EM__Priv.html#ga22dbb23f716cc73378d4c69d564e38dd">newBoundVarExpr</a>(indType);</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  eq = <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, eq[0], var).<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(<a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>(<a class="code" href="namespaceCVC3.html#a83fde65f6cf7f65c3e5c02c9a108d781ab012911c4fabb7b8556925a0d61e9c8c">READ</a>, eq[1], var));</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> </div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <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_1ArrayTheoremProducer.html#aa1f4b0ec8f008f77bff2bcfac4ce056d">d_theoryArray</a>-><a class="code" href="classCVC3_1_1Theory.html#abc2e30308c9e1f3cf752cfe8d939df1e" title="Access to ExprManager.">getEM</a>()-><a class="code" href="group__EM__Priv.html#ga0d2ff7603a249b30b2df4e549607ad6e">newClosureExpr</a>(<a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba3197625a1bb2264943f5a95f236d9973">EXISTS</a>, var, !eq),</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(e), pf);</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> }</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> </div>
<div class="line"><a name="l00363"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#adfcf46071d0e2a7544d76f8bdcba3cf7"> 363</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#adfcf46071d0e2a7544d76f8bdcba3cf7">ArrayTheoremProducer::splitOnConstants</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a>& a, <span class="keyword">const</span> std::vector<Expr>& consts) {</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> res;</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> result;</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  vector<Expr> eq;</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  vector<Expr> diseq;</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> i = 0; i < consts.size(); ++ i) {</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  eq.push_back(a.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(consts[i]));</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  diseq.push_back(a.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(consts[i]).<a class="code" href="group__ExprPkg.html#ga59d07586d68ba39eadd98c86492acdac">notExpr</a>());</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  }</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> </div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <span class="keywordflow">if</span> (eq.size() == 1) {</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  result = eq[0].orExpr(diseq[0]);</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  } <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  eq.push_back(<a class="code" href="namespaceCVC3.html#ad4258158bba138eb54b9080af7f8223a">andExpr</a>(diseq));</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  result = <a class="code" href="namespaceCVC3.html#a30f30b6e20c174f21ae63acea8618294">orExpr</a>(eq);</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  }</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span> </div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"splitOnConstants"</span>);</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> </div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <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);</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span> }</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div>
<div class="line"><a name="l00388"></a><span class="lineno"><a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a845898b86bdae8fcee18b27d181e6bbd"> 388</a></span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="code" href="classCVC3_1_1ArrayTheoremProducer.html#a845898b86bdae8fcee18b27d181e6bbd">ArrayTheoremProducer::propagateIndexDiseq</a>(<span class="keyword">const</span> <a class="code" href="classCVC3_1_1Theorem.html">Theorem</a>& read1eqread2isFalse) {</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> read1eqread2 = read1eqread2isFalse.<a class="code" href="classCVC3_1_1Theorem.html#a206c04f39fbbcacef2337148675553f4">getLHS</a>();</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> read1 = read1eqread2[0];</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> read2 = read1eqread2[1];</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> i1 = read1[1];</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <a class="code" href="classCVC3_1_1Expr.html" title="Data structure of expressions in CVC3.">Expr</a> i2 = read2[1];</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <a class="code" href="classCVC3_1_1Proof.html">Proof</a> pf;</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">if</span> (<a class="code" href="classCVC3_1_1TheoremProducer.html#aceb1eeebc6b491b3241f463488471f3a" title="Testing whether to generate proofs.">withProof</a>())</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  pf = <a class="code" href="classCVC3_1_1TheoremProducer.html#a9a8e67b1fb33d5dfe428a659d8c66651">newPf</a>(<span class="stringliteral">"propagateIndexDiseq"</span>, read1eqread2isFalse.<a class="code" href="classCVC3_1_1Theorem.html#a2d8352c07a756c3837683a27a1e659ef">getProof</a>());</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <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>(i1.<a class="code" href="group__ExprPkg.html#gacb48495ca445c895f95d0c3c1ae2070b">eqExpr</a>(i2).<a class="code" href="group__ExprPkg.html#ga59d07586d68ba39eadd98c86492acdac">notExpr</a>(), <a class="code" href="classCVC3_1_1Assumptions.html">Assumptions</a>(read1eqread2isFalse), pf);</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> }</div>
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