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<html><head>
<link rel="stylesheet" href="style.css" type="text/css">
<meta content="text/html; charset=iso-8859-1" http-equiv="Content-Type">
<link rel="Start" href="index.html">
<link title="Index of types" rel=Appendix href="index_types.html">
<link title="Index of values" rel=Appendix href="index_values.html">
<link title="Index of modules" rel=Appendix href="index_modules.html">
<link title="Index of module types" rel=Appendix href="index_module_types.html">
<link title="Aac_rewrite" rel="Chapter" href="Aac_rewrite.html">
<link title="Coq" rel="Chapter" href="Coq.html">
<link title="Helper" rel="Chapter" href="Helper.html">
<link title="Matcher" rel="Chapter" href="Matcher.html">
<link title="Print" rel="Chapter" href="Print.html">
<link title="Search_monad" rel="Chapter" href="Search_monad.html">
<link title="Theory" rel="Chapter" href="Theory.html"><title>Theory</title>
</head>
<body>
<code class="code"><span class="keyword">sig</span><br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;mk_mset&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;(<span class="constructor">Term</span>.constr&nbsp;*&nbsp;int)&nbsp;list&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;<span class="keyword">module</span>&nbsp;<span class="constructor">Sigma</span>&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">sig</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;add&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;empty&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;of_list&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;(int&nbsp;*&nbsp;<span class="constructor">Term</span>.constr)&nbsp;list&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;to_fun&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">end</span><br>
&nbsp;&nbsp;<span class="keyword">module</span>&nbsp;<span class="constructor">Sym</span>&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">sig</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">type</span>&nbsp;pack&nbsp;=&nbsp;{<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;ar&nbsp;:&nbsp;<span class="constructor">Term</span>.constr;<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;value&nbsp;:&nbsp;<span class="constructor">Term</span>.constr;<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;morph&nbsp;:&nbsp;<span class="constructor">Term</span>.constr;<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;}<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;typ&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;lazy_t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;mk_pack&nbsp;:&nbsp;<span class="constructor">Coq</span>.<span class="constructor">Relation</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Sym</span>.pack&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;null&nbsp;:&nbsp;<span class="constructor">Coq</span>.<span class="constructor">Relation</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">end</span><br>
&nbsp;&nbsp;<span class="keyword">module</span>&nbsp;<span class="constructor">Stubs</span>&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">sig</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;lift&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="constructor">Lazy</span>.t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;lift_proj_equivalence&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="constructor">Lazy</span>.t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;lift_transitivity_left&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="constructor">Lazy</span>.t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;lift_transitivity_right&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="constructor">Lazy</span>.t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;lift_reflexivity&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="constructor">Lazy</span>.t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;eval&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;lazy_t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;decide_thm&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;lazy_t<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;lift_normalise_thm&nbsp;:&nbsp;<span class="constructor">Term</span>.constr&nbsp;lazy_t<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">end</span><br>
&nbsp;&nbsp;<span class="keyword">module</span>&nbsp;<span class="constructor">Trans</span>&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">sig</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">type</span>&nbsp;envs<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;empty_envs&nbsp;:&nbsp;unit&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.envs<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;t_of_constr&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.goal_sigma&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.<span class="constructor">Relation</span>.t&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.envs&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Term</span>.constr&nbsp;*&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Matcher</span>.<span class="constructor">Terms</span>.t&nbsp;*&nbsp;<span class="constructor">Matcher</span>.<span class="constructor">Terms</span>.t&nbsp;*&nbsp;<span class="constructor">Coq</span>.goal_sigma<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;add_symbol&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.goal_sigma&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.<span class="constructor">Relation</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.envs&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Coq</span>.goal_sigma<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">type</span>&nbsp;ir<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;ir_of_envs&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.goal_sigma&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.<span class="constructor">Relation</span>.t&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.envs&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Coq</span>.goal_sigma&nbsp;*&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.ir<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;ir_to_units&nbsp;:&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.ir&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Matcher</span>.ext_units<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;raw_constr_of_t&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.ir&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.<span class="constructor">Relation</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Context</span>.<span class="constructor">Rel</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Matcher</span>.<span class="constructor">Terms</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">type</span>&nbsp;sigmas&nbsp;=&nbsp;{<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;env_sym&nbsp;:&nbsp;<span class="constructor">Term</span>.constr;<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;env_bin&nbsp;:&nbsp;<span class="constructor">Term</span>.constr;<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;env_units&nbsp;:&nbsp;<span class="constructor">Term</span>.constr;<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;}<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">type</span>&nbsp;reifier<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;mk_reifier&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Coq</span>.<span class="constructor">Relation</span>.t&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Term</span>.constr&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.ir&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.sigmas&nbsp;*&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.reifier&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Proof_type</span>.tactic)&nbsp;<span class="keywordsign">-&gt;</span><br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Proof_type</span>.tactic<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;reif_constr_of_t&nbsp;:<br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span class="constructor">Theory</span>.<span class="constructor">Trans</span>.reifier&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Matcher</span>.<span class="constructor">Terms</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Term</span>.constr<br>
&nbsp;&nbsp;&nbsp;&nbsp;<span class="keyword">end</span><br>
<span class="keyword">end</span></code></body></html>

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