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<htmlxmlns="http://www.w3.org/1999/xhtml"><head><title>Prover (infer.Biabduction.Prover)</title><linkrel="stylesheet"href="../../../odoc.css"/><metacharset="utf-8"/><metaname="generator"content="odoc 1.5.0"/><metaname="viewport"content="width=device-width,initial-scale=1.0"/><scriptsrc="../../../highlight.pack.js"></script><script>hljs.initHighlightingOnLoad();</script></head><body><divclass="content"><header><nav><ahref="../index.html">Up</a>–<ahref="../../index.html">infer</a>»<ahref="../index.html">Biabduction</a>» Prover</nav><h1>Module <code>Biabduction.Prover</code></h1><navclass="toc"><ul><li><ahref="#ordinary-theorem-proving">Ordinary Theorem Proving</a></li><li><ahref="#abduction-prover">Abduction prover</a></li><li><ahref="#cover:-minimum-set-of-pi's-whose-disjunction-is-equivalent-to-true">Cover: minimum set of pi's whose disjunction is equivalent to true</a></li></ul></nav></header><aside><p>Functions for Theorem Proving</p></aside><dl><dtclass="spec value"id="val-atom_negate"><ahref="#val-atom_negate"class="anchor"></a><code><spanclass="keyword">val</span> atom_negate : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><ahref="../Predicates/index.html#type-atom">Predicates.atom</a><span>-></span><ahref="../Predicates/index.html#type-atom">Predicates.atom</a></code></dt><dd><p>Negate an atom</p></dd></dl><section><header><h3id="ordinary-theorem-proving"><ahref="#ordinary-theorem-proving"class="anchor"></a>Ordinary Theorem Proving</h3></header><dl><dtclass="spec value"id="val-check_zero"><ahref="#val-check_zero"class="anchor"></a><code><spanclass="keyword">val</span> check_zero : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span> bool</code></dt><dd><p>Check <code>|- e=0</code>. Result <code>false</code> means "don't know".</p></dd></dl><dl><dtclass="spec value"id="val-check_equal"><ahref="#val-check_equal"class="anchor"></a><code><spanclass="keyword">val</span> check_equal : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span> bool</code></dt><dd><p>Check <code>prop |- exp1=exp2</code>. Result <code>false</code> means "don't know".</p></dd></dl><dl><dtclass="spec value"id="val-check_disequal"><ahref="#val-check_disequal"class="anchor"></a><code><spanclass="keyword">val</span> check_disequal : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span> bool</code></dt><dd><p>Check whether <code>prop |- exp1!=exp2</code>. Result <code>false</code> means "don't know".</p></dd></dl><dl><dtclass="spec value"id="val-check_atom"><ahref="#val-check_atom"class="anchor"></a><code><spanclass="keyword">val</span> check_atom : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><ahref="../Predicates/index.html#type-atom">Predicates.atom</a><span>-></span> bool</code></dt><dd><p>Check whether <code>prop |- a</code>. Result <code>false</code> means "don't know".</p></dd></dl><dl><dtclass="spec value"id="val-check_inconsistency_base"><ahref="#val-check_inconsistency_base"class="anchor"></a><code><spanclass="keyword">val</span> check_inconsistency_base : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span> bool</code></dt><dd><p>Inconsistency checking ignoring footprint.</p></dd></dl><dl><dtclass="spec value"id="val-check_inconsistency"><ahref="#val-check_inconsistency"class="anchor"></a><code><spanclass="keyword">val</span> check_inconsistency : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span> bool</code></dt><dd><p>Inconsistency checking.</p></dd></dl><dl><dtclass="spec value"id="val-check_allocatedness"><ahref="#val-check_allocatedness"class="anchor"></a><code><spanclass="keyword">val</span> check_allocatedness : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span> bool</code></dt><dd><p>Check whether <code>prop |- allocated(exp)</code>.</p></dd></dl><dl><dtclass="spec value"id="val-is_root"><ahref="#val-is_root"class="anchor"></a><code><spanclass="keyword">val</span> is_root : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span><span><span><ahref="../Predicates/index.html#type-offset">Predicates.offset</a> list</span> option</span></code></dt><dd><p><code>is_root prop base_exp exp</code> checks whether <code>base_exp = exp.offlist</code> for some list of offsets <code>offlist</code>. If so, it returns <code>Some(offlist)</code>. Otherwise, it returns <code>None</code>. Assumes that <code>base_exp</code> points to the beginning of a structure, not the middle.</p></dd></dl><dl><dtclass="spec value"id="val-expand_hpred_pointer"><ahref="#val-expand_hpred_pointer"class="anchor"></a><code><spanclass="keyword">val</span> expand_hpred_pointer : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span> bool <span>-></span><ahref="../Predicates/index.html#type-hpred">Predicates.hpred</a><span>-></span> bool * bool * <ahref="../Predicates/index.html#type-hpred">Predicates.hpred</a></code></dt><dd><p><code>expand_hpred_pointer calc_index_frame hpred</code> expands <code>hpred</code> if it is a |-> whose lhs is a Lfield or Lindex or ptr+off. Return <code>(changed, calc_index_frame', hpred')</code> where <code>changed</code> indicates whether the predicate has changed.</p></dd></dl><dl><dtclass="spec value"id="val-get_bounds"><ahref="#val-get_bounds"class="anchor"></a><code><spanclass="keyword">val</span> get_bounds : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a><span>-></span><span><ahref="../../IR/IntLit/index.html#type-t">IR.IntLit.t</a> option</span> * <span><ahref="../../IR/IntLit/index.html#type-t">IR.IntLit.t</a> option</span></code></dt><dd><p>Get upper and lower bounds of an expression, if any</p></dd></dl></section><section><header><h3id="abduction-prover"><ahref="#abduction-prover"class="anchor"></a>Abduction prover</h3></header><dl><dtclass="spec value"id="val-check_implication"><ahref="#val-check_implication"class="anchor"></a><code><spanclass="keyword">val</span> check_implication : <span><ahref="../BiabductionSummary/index.html#type-t">BiabductionSummary.t</a><ahref="../../Absint/InterproceduralAnalysis/index.html#type-t">Absint.InterproceduralAnalysis.t</a></span><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><span><ahref="../Prop/index.html#type-exposed">Prop.exposed</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span> bool</code></dt><dd><p><code>check_implication p1 p2</code> returns true if <code>p1|-p2</code></p></dd></dl><dl><dtclass="spec type"id="type-check"><ahref="#type-check"class="anchor"></a><code><spanclass="keyword">type</span> check</code><code> = </code><tableclass="variant"><trid="type-check.Bounds_check"class="anchored"><tdclass="def constructor"><ahref="#type-check.Bounds_check"class="anchor"></a><code>| </code><code><spanclass="constructor">Bounds_check</span></code></td></tr><trid="type-check.Class_cast_check"class="anchored"><tdclass="def constructor"><ahref="#type-check.Class_cast_check"class="anchor"></a><code>| </code><code><spanclass="constructor">Class_cast_check</span><spanclass="keyword">of</span><ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a> * <ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a> * <ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a></code></td></tr></table></dt></dl><dl><dtclass="spec value"id="val-d_typings"><ahref="#val-d_typings"class="anchor"></a><code><spanclass="keyword">val</span> d_typings : <span><span>(<ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a> * <ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a>)</span> list</span><span>-></span> unit</code></dt></dl><dl><dtclass="spec type"id="type-implication_result"><ahref="#type-implication_result"class="anchor"></a><code><spanclass="keyword">type</span> implication_result</code><code> = </code><tableclass="variant"><trid="type-implication_result.ImplOK"class="anchored"><tdclass="def constructor"><ahref="#type-implication_result.ImplOK"class="anchor"></a><code>| </code><code><spanclass="constructor">ImplOK</span><spanclass="keyword">of</span><span><ahref="index.html#type-check">check</a> list</span> * <ahref="../Predicates/index.html#type-subst">Predicates.subst</a> * <ahref="../Predicates/index.html#type-subst">Predicates.subst</a> * <span><ahref="../Predicates/index.html#type-hpred">Predicates.hpred</a> list</span> * <span><ahref="../Predicates/index.html#type-atom">Predicates.atom</a> list</span> * <span><ahref="../Predicates/index.html#type-hpred">Predicates.hpred</a> list</span> * <span><ahref="../Predicates/index.html#type-hpred">Predicates.hpred</a> list</span> * <span><ahref="../Predicates/index.html#type-hpred">Predicates.hpred</a> list</span> * <span><span>(<ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a> * <ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a>)</span> list</span> * <span><span>(<ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a> * <ahref="../../IR/Exp/index.html#type-t">IR.Exp.t</a>)</span> list</span></code></td></tr><trid="type-implication_result.ImplFail"class="anchored"><tdclass="def constructor"><ahref="#type-implication_result.ImplFail"class="anchor"></a><code>| </code><code><spanclass="constructor">ImplFail</span><spanclass="keyword">of</span><span><ahref="index.html#type-check">check</a> list</span></code></td></tr></table></dt></dl><dl><dtclass="spec value"id="val-check_implication_for_footprint"><ahref="#val-check_implication_for_footprint"class="anchor"></a><code><spanclass="keyword">val</span> check_implication_for_footprint : <span><ahref="../BiabductionSummary/index.html#type-t">BiabductionSummary.t</a><ahref="../../Absint/InterproceduralAnalysis/index.html#type-t">Absint.InterproceduralAnalysis.t</a></span><span>-></span><span><ahref="../Prop/index.html#type-normal">Prop.normal</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><span><ahref="../Prop/index.html#type-exposed">Prop.exposed</a><ahref="../Prop/index.html#type-t">Prop.t</a></span><span>-></span><ahref="index.html#type-implication_result">implication_result</a></code></dt><dd><p><code>check_implication_for_footprint p1 p2</code> returns <code>Some(sub, frame, missing)</code> if <code>sub(p1 * missing) |- sub(p2 * frame)</code> where <code>sub</code> is a substitution which instantiates the primed vars of <code>p1</code> and <code>p2</code>, which are assumed to be disjoint.</p></dd></dl></section><section><header><h3id="cover:-minimum-set-of-pi's-whose-disjunction-is-equivalent-to-true"><ahref="#cover:-minimum-set-of-pi's-whose-disjunction-is-equivalent-to-true"class="anchor"></a>Cover: minimum set of pi's whose disjunction is equivalent to true</h3></header><dl><dtclass="spec value"id="val-find_minimum_pure_cover"><ahref="#val-find_minimum_pure_cover"class="anchor"></a><code><spanclass="keyword">val</span> find_minimum_pure_cover : <ahref="../../IR/Tenv/index.html#type-t">IR.Tenv.t</a><span>-></span><span><span>(<span><ahref="../Predicates/index.html#type-atom">Predicates.atom</a> list</span> * <spanclass="type-var">'a</span>)</span> list</span><span>-></span><span><span><span>(<span><ahref="../Predicates/index.html#type-atom">Predicates.atom</a> list</span> * <spanclass="type-var">'a</span>)</span> list</span> option</span></code></dt><dd><p>Find minimum set of pi's in <code>cases</code> whose disjunction covers true</p></dd></dl></section></div></body></html>