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compcert.common.Events.html
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<link href="coqdoc.css" rel="stylesheet" type="text/css" />
<title>compcert.common.Events</title>
</head>
<body>
<div id="page">
<div id="header">
</div>
<div id="main">
<h1 class="libtitle">Library compcert.common.Events</h1>
<div class="code">
<br/>
</div>
<div class="doc">
Observable events, execution traces, and semantics of external calls.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Strings.String.html#"><span class="id" title="library">String</span></a>.<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="compcert.lib.Coqlib.html#"><span class="id" title="library">Coqlib</span></a>.<br/>
<span class="id" title="keyword">Require</span> <a class="idref" href="compcert.lib.Intv.html#"><span class="id" title="library">Intv</span></a>.<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="compcert.common.AST.html#"><span class="id" title="library">AST</span></a>.<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="compcert.lib.Integers.html#"><span class="id" title="library">Integers</span></a>.<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="compcert.lib.Floats.html#"><span class="id" title="library">Floats</span></a>.<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="compcert.common.Values.html#"><span class="id" title="library">Values</span></a>.<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="compcert.common.Memory.html#"><span class="id" title="library">Memory</span></a>.<br/>
<span class="id" title="keyword">Require</span> <span class="id" title="keyword">Import</span> <a class="idref" href="compcert.common.Globalenvs.html#"><span class="id" title="library">Globalenvs</span></a>.<br/>
<br/>
</div>
<div class="doc">
<a name="lab141"></a><h1 class="section">Events and traces</h1>
<div class="paragraph"> </div>
The observable behaviour of programs is stated in terms of
input/output events, which represent the actions of the program
that the external world can observe. CompCert leaves much flexibility as to
the exact content of events: the only requirement is that they
do not expose memory states nor pointer values
(other than pointers to global variables), because these
are not preserved literally during compilation. For concreteness,
we use the following type for events. Each event represents either:
<div class="paragraph"> </div>
<ul class="doclist">
<li> A system call (e.g. an input/output operation), recording the
name of the system call, its parameters, and its result.
<div class="paragraph"> </div>
</li>
<li> A volatile load from a global memory location, recording the chunk
and address being read and the value just read.
<div class="paragraph"> </div>
</li>
<li> A volatile store to a global memory location, recording the chunk
and address being written and the value stored there.
<div class="paragraph"> </div>
</li>
<li> An annotation, recording the text of the annotation and the values
of the arguments.
<div class="paragraph"> </div>
The values attached to these events are of the following form.
As mentioned above, we do not expose pointer values directly.
Pointers relative to a global variable are shown with the name
of the variable instead of the block identifier.
</li>
</ul>
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Inductive</span> <a name="eventval"><span class="id" title="inductive">eventval</span></a>: <span class="id" title="keyword">Type</span> :=<br/>
| <a name="EVint"><span class="id" title="constructor">EVint</span></a>: <a class="idref" href="compcert.lib.Integers.html#int"><span class="id" title="abbreviation">int</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a><br/>
| <a name="EVlong"><span class="id" title="constructor">EVlong</span></a>: <a class="idref" href="compcert.lib.Integers.html#int64"><span class="id" title="abbreviation">int64</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a><br/>
| <a name="EVfloat"><span class="id" title="constructor">EVfloat</span></a>: <a class="idref" href="compcert.lib.Floats.html#float"><span class="id" title="definition">float</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a><br/>
| <a name="EVsingle"><span class="id" title="constructor">EVsingle</span></a>: <a class="idref" href="compcert.lib.Floats.html#float32"><span class="id" title="definition">float32</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a><br/>
| <a name="EVptr_global"><span class="id" title="constructor">EVptr_global</span></a>: <a class="idref" href="compcert.common.AST.html#ident"><span class="id" title="definition">ident</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.lib.Integers.html#ptrofs"><span class="id" title="abbreviation">ptrofs</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a>.<br/>
<br/>
<span class="id" title="keyword">Inductive</span> <a name="event"><span class="id" title="inductive">event</span></a>: <span class="id" title="keyword">Type</span> :=<br/>
| <a name="Event_syscall"><span class="id" title="constructor">Event_syscall</span></a>: <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Strings.String.html#string"><span class="id" title="inductive">string</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#list"><span class="id" title="inductive">list</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a><br/>
| <a name="Event_vload"><span class="id" title="constructor">Event_vload</span></a>: <a class="idref" href="compcert.common.AST.html#memory_chunk"><span class="id" title="inductive">memory_chunk</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.AST.html#ident"><span class="id" title="definition">ident</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.lib.Integers.html#ptrofs"><span class="id" title="abbreviation">ptrofs</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a><br/>
| <a name="Event_vstore"><span class="id" title="constructor">Event_vstore</span></a>: <a class="idref" href="compcert.common.AST.html#memory_chunk"><span class="id" title="inductive">memory_chunk</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.AST.html#ident"><span class="id" title="definition">ident</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.lib.Integers.html#ptrofs"><span class="id" title="abbreviation">ptrofs</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a><br/>
| <a name="Event_annot"><span class="id" title="constructor">Event_annot</span></a>: <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Strings.String.html#string"><span class="id" title="inductive">string</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#list"><span class="id" title="inductive">list</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a>.<br/>
<br/>
</div>
<div class="doc">
The dynamic semantics for programs collect traces of events.
Traces are of two kinds: finite (type <span class="inlinecode"><a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a></span>) or infinite (type <span class="inlinecode"><a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a></span>).
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Definition</span> <a name="trace"><span class="id" title="definition">trace</span></a> := <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#list"><span class="id" title="inductive">list</span></a> <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="E0"><span class="id" title="definition">E0</span></a> : <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> := <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="Eapp"><span class="id" title="definition">Eapp</span></a> (<span class="id" title="var">t1</span> <span class="id" title="var">t2</span>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>) : <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> := <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#5d35a99a6abff1d64bf70538feb70e36"><span class="id" title="notation">++</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a>.<br/>
<br/>
<span class="id" title="keyword">CoInductive</span> <a name="traceinf"><span class="id" title="inductive">traceinf</span></a> : <span class="id" title="keyword">Type</span> :=<br/>
| <a name="Econsinf"><span class="id" title="constructor">Econsinf</span></a>: <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a>.<br/>
<br/>
<span class="id" title="keyword">Fixpoint</span> <a name="Eappinf"><span class="id" title="definition">Eappinf</span></a> (<span class="id" title="var">t</span>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>) (<span class="id" title="var">T</span>: <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a>) {<span class="id" title="keyword">struct</span> <span class="id" title="var">t</span>} : <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a> :=<br/>
<span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <span class="id" title="keyword">with</span><br/>
| <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a> ⇒ <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a><br/>
| <span class="id" title="var">ev</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <span class="id" title="var">t'</span> ⇒ <a class="idref" href="compcert.common.Events.html#Econsinf"><span class="id" title="constructor">Econsinf</span></a> <span class="id" title="var">ev</span> (<a class="idref" href="compcert.common.Events.html#Eappinf"><span class="id" title="definition">Eappinf</span></a> <span class="id" title="var">t'</span> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a>)<br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
</div>
<div class="doc">
Concatenation of traces is written <span class="inlinecode">**</span> in the finite case
or <span class="inlinecode">***</span> in the infinite case.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Infix</span> <a name="6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">"</span></a>**" := <a class="idref" href="compcert.common.Events.html#Eapp"><span class="id" title="definition">Eapp</span></a> (<span class="id" title="tactic">at</span> <span class="id" title="keyword">level</span> 60, <span class="id" title="tactic">right</span> <span class="id" title="keyword">associativity</span>).<br/>
<span class="id" title="keyword">Infix</span> <a name="f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">"</span></a>***" := <a class="idref" href="compcert.common.Events.html#Eappinf"><span class="id" title="definition">Eappinf</span></a> (<span class="id" title="tactic">at</span> <span class="id" title="keyword">level</span> 60, <span class="id" title="tactic">right</span> <span class="id" title="keyword">associativity</span>).<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="E0_left"><span class="id" title="lemma">E0_left</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">t</span>, <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a>.<br/>
<span class="id" title="keyword">Proof</span>. <span class="id" title="tactic">auto</span>. <span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="E0_right"><span class="id" title="lemma">E0_right</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">t</span>, <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a>.<br/>
<span class="id" title="keyword">Proof</span>. <span class="id" title="tactic">intros</span>. <span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a>, <a class="idref" href="compcert.common.Events.html#Eapp"><span class="id" title="definition">Eapp</span></a>. <span class="id" title="tactic">rewrite</span> <- <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Lists.List.html#app_nil_end"><span class="id" title="lemma">app_nil_end</span></a>. <span class="id" title="tactic">auto</span>. <span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="Eapp_assoc"><span class="id" title="lemma">Eapp_assoc</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">t1</span> <span class="id" title="var">t2</span> <span class="id" title="var">t3</span>, <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a><a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">)</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t3"><span class="id" title="variable">t3</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t3"><span class="id" title="variable">t3</span></a><a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">)</span></a>.<br/>
<span class="id" title="keyword">Proof</span>. <span class="id" title="tactic">intros</span>. <span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.Events.html#Eapp"><span class="id" title="definition">Eapp</span></a>, <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>. <span class="id" title="tactic">apply</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Lists.List.html#app_ass"><span class="id" title="abbreviation">app_ass</span></a>. <span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="Eapp_E0_inv"><span class="id" title="lemma">Eapp_E0_inv</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">t1</span> <span class="id" title="var">t2</span>, <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a>.<br/>
<span class="id" title="keyword">Proof</span> (@<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Lists.List.html#app_eq_nil"><span class="id" title="lemma">app_eq_nil</span></a> <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a>).<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="E0_left_inf"><span class="id" title="lemma">E0_left_inf</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">T</span>, <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a>.<br/>
<span class="id" title="keyword">Proof</span>. <span class="id" title="tactic">auto</span>. <span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="Eappinf_assoc"><span class="id" title="lemma">Eappinf_assoc</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">t1</span> <span class="id" title="var">t2</span> <span class="id" title="var">T</span>, <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a><a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">)</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a><a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">)</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> <span class="id" title="var">t1</span>; <span class="id" title="tactic">intros</span>; <span class="id" title="tactic">simpl</span>. <span class="id" title="tactic">auto</span>. <span class="id" title="var">decEq</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Hint Rewrite</span> <a class="idref" href="compcert.common.Events.html#E0_left"><span class="id" title="lemma">E0_left</span></a> <a class="idref" href="compcert.common.Events.html#E0_right"><span class="id" title="lemma">E0_right</span></a> <a class="idref" href="compcert.common.Events.html#Eapp_assoc"><span class="id" title="lemma">Eapp_assoc</span></a><br/>
<a class="idref" href="compcert.common.Events.html#E0_left_inf"><span class="id" title="lemma">E0_left_inf</span></a> <a class="idref" href="compcert.common.Events.html#Eappinf_assoc"><span class="id" title="lemma">Eappinf_assoc</span></a>: <span class="id" title="var">trace_rewrite</span>.<br/>
<br/>
<span class="id" title="keyword">Opaque</span> <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="compcert.common.Events.html#Eapp"><span class="id" title="definition">Eapp</span></a> <a class="idref" href="compcert.common.Events.html#Eappinf"><span class="id" title="definition">Eappinf</span></a>.<br/>
<br/>
</div>
<div class="doc">
The following <span class="inlinecode"><span class="id" title="var">traceEq</span></span> tactic proves equalities between traces
or infinite traces.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Ltac</span> <span class="id" title="var">substTraceHyp</span> :=<br/>
<span class="id" title="keyword">match</span> <span class="id" title="keyword">goal</span> <span class="id" title="keyword">with</span><br/>
| [ <span class="id" title="var">H</span>: (@<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#eq"><span class="id" title="inductive">eq</span></a> <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> ?<span class="id" title="var">x</span> ?<span class="id" title="var">y</span>) |- <span class="id" title="var">_</span> ] ⇒<br/>
<span class="id" title="tactic">subst</span> <span class="id" title="var">x</span> || <span class="id" title="tactic">clear</span> <span class="id" title="var">H</span><br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
<span class="id" title="keyword">Ltac</span> <span class="id" title="var">decomposeTraceEq</span> :=<br/>
<span class="id" title="keyword">match</span> <span class="id" title="keyword">goal</span> <span class="id" title="keyword">with</span><br/>
| [ |- <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">(</span></a><span class="id" title="var">_</span> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <span class="id" title="var">_</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">(</span></a><span class="id" title="var">_</span> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <span class="id" title="var">_</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">)</span></a> ] ⇒<br/>
<span class="id" title="tactic">apply</span> (<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#f_equal2"><span class="id" title="lemma">f_equal2</span></a> <a class="idref" href="compcert.common.Events.html#Eapp"><span class="id" title="definition">Eapp</span></a>); <span class="id" title="tactic">auto</span>; <span class="id" title="var">decomposeTraceEq</span><br/>
| <span class="id" title="var">_</span> ⇒<br/>
<span class="id" title="tactic">auto</span><br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
<span class="id" title="keyword">Ltac</span> <span class="id" title="var">traceEq</span> :=<br/>
<span class="id" title="tactic">repeat</span> <span class="id" title="var">substTraceHyp</span>; <span class="id" title="tactic">autorewrite</span> <span class="id" title="keyword">with</span> <span class="id" title="var">trace_rewrite</span>; <span class="id" title="var">decomposeTraceEq</span>.<br/>
<br/>
</div>
<div class="doc">
Bisimilarity between infinite traces.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">CoInductive</span> <a name="traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a>: <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span> :=<br/>
| <a name="traceinf_sim_cons"><span class="id" title="constructor">traceinf_sim_cons</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">e</span> <span class="id" title="var">T1</span> <span class="id" title="var">T2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> (<a class="idref" href="compcert.common.Events.html#Econsinf"><span class="id" title="constructor">Econsinf</span></a> <a class="idref" href="compcert.common.Events.html#e"><span class="id" title="variable">e</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a>) (<a class="idref" href="compcert.common.Events.html#Econsinf"><span class="id" title="constructor">Econsinf</span></a> <a class="idref" href="compcert.common.Events.html#e"><span class="id" title="variable">e</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a>).<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="traceinf_sim_refl"><span class="id" title="lemma">traceinf_sim_refl</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">T</span>, <a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="keyword">cofix</span> <span class="id" title="var">COINDHYP</span>; <span class="id" title="tactic">intros</span>.<br/>
<span class="id" title="tactic">destruct</span> <span class="id" title="var">T</span>. <span class="id" title="tactic">constructor</span>. <span class="id" title="tactic">apply</span> <span class="id" title="var">COINDHYP</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="traceinf_sim_sym"><span class="id" title="lemma">traceinf_sim_sym</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">T1</span> <span class="id" title="var">T2</span>, <a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="keyword">cofix</span> <span class="id" title="var">COINDHYP</span>; <span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="traceinf_sim_trans"><span class="id" title="lemma">traceinf_sim_trans</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">T1</span> <span class="id" title="var">T2</span> <span class="id" title="var">T3</span>,<br/>
<a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="compcert.common.Events.html#T3"><span class="id" title="variable">T3</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a> <a class="idref" href="compcert.common.Events.html#T3"><span class="id" title="variable">T3</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="keyword">cofix</span> <span class="id" title="var">COINDHYP</span>;<span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H0</span>; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">CoInductive</span> <a name="traceinf_sim'"><span class="id" title="inductive">traceinf_sim'</span></a>: <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span> :=<br/>
| <a name="traceinf_sim'_cons"><span class="id" title="constructor">traceinf_sim'_cons</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">t</span> <span class="id" title="var">T1</span> <span class="id" title="var">T2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#32263a1c8b01baecdff9deb038955bc9"><span class="id" title="notation">≠</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf_sim'"><span class="id" title="inductive">traceinf_sim'</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf_sim'"><span class="id" title="inductive">traceinf_sim'</span></a> (<a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a>) (<a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a>).<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="traceinf_sim'_sim"><span class="id" title="lemma">traceinf_sim'_sim</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">T1</span> <span class="id" title="var">T2</span>, <a class="idref" href="compcert.common.Events.html#traceinf_sim'"><span class="id" title="inductive">traceinf_sim'</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf_sim"><span class="id" title="inductive">traceinf_sim</span></a> <a class="idref" href="compcert.common.Events.html#T1"><span class="id" title="variable">T1</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="keyword">cofix</span> <span class="id" title="var">COINDHYP</span>; <span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>.<br/>
<span class="id" title="tactic">destruct</span> <span class="id" title="var">t</span>. <span class="id" title="tactic">elim</span> <span class="id" title="var">H0</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Transparent</span> <a class="idref" href="compcert.common.Events.html#Eappinf"><span class="id" title="definition">Eappinf</span></a>.<br/>
<span class="id" title="keyword">Transparent</span> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a>.<br/>
<span class="id" title="tactic">simpl</span>.<br/>
<span class="id" title="tactic">destruct</span> <span class="id" title="var">t</span>. <span class="id" title="tactic">simpl</span>. <span class="id" title="tactic">constructor</span>. <span class="id" title="tactic">apply</span> <span class="id" title="var">COINDHYP</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="tactic">constructor</span>. <span class="id" title="tactic">apply</span> <span class="id" title="var">COINDHYP</span>.<br/>
<span class="id" title="tactic">constructor</span>. <span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a>; <span class="id" title="tactic">congruence</span>. <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
</div>
<div class="doc">
An alternate presentation of infinite traces as
infinite concatenations of nonempty finite traces.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">CoInductive</span> <a name="traceinf'"><span class="id" title="inductive">traceinf'</span></a>: <span class="id" title="keyword">Type</span> :=<br/>
| <a name="Econsinf'"><span class="id" title="constructor">Econsinf'</span></a>: <span class="id" title="keyword">∀</span> (<span class="id" title="var">t</span>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>) (<span class="id" title="var">T</span>: <a class="idref" href="compcert.common.Events.html#traceinf'"><span class="id" title="inductive">traceinf'</span></a>), <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#32263a1c8b01baecdff9deb038955bc9"><span class="id" title="notation">≠</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#traceinf'"><span class="id" title="inductive">traceinf'</span></a>.<br/>
<br/>
<span class="id" title="keyword">Program Definition</span> <a name="split_traceinf'"><span class="id" title="definition">split_traceinf'</span></a> (<span class="id" title="var">t</span>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>) (<span class="id" title="var">T</span>: <a class="idref" href="compcert.common.Events.html#traceinf'"><span class="id" title="inductive">traceinf'</span></a>) (<span class="id" title="var">NE</span>: <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#32263a1c8b01baecdff9deb038955bc9"><span class="id" title="notation">≠</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a>): <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#d19c7eafd0e2d195d10df94b392087b5"><span class="id" title="notation">×</span></a> <a class="idref" href="compcert.common.Events.html#traceinf'"><span class="id" title="inductive">traceinf'</span></a> :=<br/>
<span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <span class="id" title="keyword">with</span><br/>
| <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a> ⇒ <span class="id" title="var">_</span><br/>
| <span class="id" title="var">e</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><span class="id" title="var">e</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a><br/>
| <span class="id" title="var">e</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <span class="id" title="var">t'</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><span class="id" title="var">e</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> <a class="idref" href="compcert.common.Events.html#Econsinf'"><span class="id" title="constructor">Econsinf'</span></a> <span class="id" title="var">t'</span> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <span class="id" title="var">_</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a><br/>
<span class="id" title="keyword">end</span>.<br/>
<span class="id" title="keyword">Next</span> <span class="id" title="keyword">Obligation</span>.<br/>
<span class="id" title="tactic">elimtype</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#False"><span class="id" title="inductive">False</span></a>. <span class="id" title="tactic">elim</span> <span class="id" title="var">NE</span>. <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<span class="id" title="keyword">Next</span> <span class="id" title="keyword">Obligation</span>.<br/>
<span class="id" title="tactic">red</span>; <span class="id" title="tactic">intro</span>. <span class="id" title="tactic">elim</span> (<span class="id" title="var">H</span> <span class="id" title="var">e</span>). <span class="id" title="tactic">rewrite</span> <span class="id" title="var">H0</span>. <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">CoFixpoint</span> <a name="traceinf_of_traceinf'"><span class="id" title="definition">traceinf_of_traceinf'</span></a> (<span class="id" title="var">T'</span>: <a class="idref" href="compcert.common.Events.html#traceinf'"><span class="id" title="inductive">traceinf'</span></a>) : <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a> :=<br/>
<span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#T'"><span class="id" title="variable">T'</span></a> <span class="id" title="keyword">with</span><br/>
| <a class="idref" href="compcert.common.Events.html#Econsinf'"><span class="id" title="constructor">Econsinf'</span></a> <span class="id" title="var">t</span> <span class="id" title="var">T''</span> <span class="id" title="var">NOTEMPTY</span> ⇒<br/>
<span class="id" title="keyword">let</span> (<span class="id" title="var">e</span>, <span class="id" title="var">tl</span>) := <a class="idref" href="compcert.common.Events.html#split_traceinf'"><span class="id" title="definition">split_traceinf'</span></a> <span class="id" title="var">t</span> <span class="id" title="var">T''</span> <span class="id" title="var">NOTEMPTY</span> <span class="id" title="keyword">in</span><br/>
<a class="idref" href="compcert.common.Events.html#Econsinf"><span class="id" title="constructor">Econsinf</span></a> <a class="idref" href="compcert.common.Events.html#e"><span class="id" title="variable">e</span></a> (<a class="idref" href="compcert.common.Events.html#traceinf_of_traceinf'"><span class="id" title="definition">traceinf_of_traceinf'</span></a> <a class="idref" href="compcert.common.Events.html#tl"><span class="id" title="variable">tl</span></a>)<br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
<span class="id" title="keyword">Remark</span> <a name="unroll_traceinf'"><span class="id" title="lemma">unroll_traceinf'</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">T</span>, <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <span class="id" title="keyword">with</span> <a class="idref" href="compcert.common.Events.html#Econsinf'"><span class="id" title="constructor">Econsinf'</span></a> <span class="id" title="var">t</span> <span class="id" title="var">T'</span> <span class="id" title="var">NE</span> ⇒ <a class="idref" href="compcert.common.Events.html#Econsinf'"><span class="id" title="constructor">Econsinf'</span></a> <span class="id" title="var">t</span> <span class="id" title="var">T'</span> <span class="id" title="var">NE</span> <span class="id" title="keyword">end</span>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">destruct</span> <span class="id" title="var">T</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Remark</span> <a name="unroll_traceinf"><span class="id" title="lemma">unroll_traceinf</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">T</span>, <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <span class="id" title="keyword">with</span> <a class="idref" href="compcert.common.Events.html#Econsinf"><span class="id" title="constructor">Econsinf</span></a> <span class="id" title="var">t</span> <span class="id" title="var">T'</span> ⇒ <a class="idref" href="compcert.common.Events.html#Econsinf"><span class="id" title="constructor">Econsinf</span></a> <span class="id" title="var">t</span> <span class="id" title="var">T'</span> <span class="id" title="keyword">end</span>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">destruct</span> <span class="id" title="var">T</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="traceinf_traceinf'_app"><span class="id" title="lemma">traceinf_traceinf'_app</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">t</span> <span class="id" title="var">T</span> <span class="id" title="var">NE</span>,<br/>
<a class="idref" href="compcert.common.Events.html#traceinf_of_traceinf'"><span class="id" title="definition">traceinf_of_traceinf'</span></a> (<a class="idref" href="compcert.common.Events.html#Econsinf'"><span class="id" title="constructor">Econsinf'</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a> <a class="idref" href="compcert.common.Events.html#NE"><span class="id" title="variable">NE</span></a>) <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#traceinf_of_traceinf'"><span class="id" title="definition">traceinf_of_traceinf'</span></a> <a class="idref" href="compcert.common.Events.html#T"><span class="id" title="variable">T</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> <span class="id" title="var">t</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">elim</span> <span class="id" title="var">NE</span>. <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">simpl</span>.<br/>
<span class="id" title="tactic">rewrite</span> (<a class="idref" href="compcert.common.Events.html#unroll_traceinf"><span class="id" title="lemma">unroll_traceinf</span></a> (<a class="idref" href="compcert.common.Events.html#traceinf_of_traceinf'"><span class="id" title="definition">traceinf_of_traceinf'</span></a> (<a class="idref" href="compcert.common.Events.html#Econsinf'"><span class="id" title="constructor">Econsinf'</span></a> (<span class="id" title="var">a</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <span class="id" title="var">t</span>) <span class="id" title="var">T</span> <span class="id" title="var">NE</span>))).<br/>
<span class="id" title="tactic">simpl</span>. <span class="id" title="tactic">destruct</span> <span class="id" title="var">t</span>. <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Transparent</span> <a class="idref" href="compcert.common.Events.html#Eappinf"><span class="id" title="definition">Eappinf</span></a>.<br/>
<span class="id" title="tactic">simpl</span>. <span class="id" title="tactic">f_equal</span>. <span class="id" title="tactic">apply</span> <span class="id" title="var">IHt</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
</div>
<div class="doc">
Prefixes of traces.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Definition</span> <a name="trace_prefix"><span class="id" title="definition">trace_prefix</span></a> (<span class="id" title="var">t1</span> <span class="id" title="var">t2</span>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>) :=<br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">∃</span></a> <span class="id" title="var">t3</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">,</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t3"><span class="id" title="variable">t3</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="traceinf_prefix"><span class="id" title="definition">traceinf_prefix</span></a> (<span class="id" title="var">t1</span>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>) (<span class="id" title="var">T2</span>: <a class="idref" href="compcert.common.Events.html#traceinf"><span class="id" title="inductive">traceinf</span></a>) :=<br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">∃</span></a> <span class="id" title="var">T3</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">,</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#T3"><span class="id" title="variable">T3</span></a>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="trace_prefix_app"><span class="id" title="lemma">trace_prefix_app</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">t1</span> <span class="id" title="var">t2</span> <span class="id" title="var">t</span>,<br/>
<a class="idref" href="compcert.common.Events.html#trace_prefix"><span class="id" title="definition">trace_prefix</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#trace_prefix"><span class="id" title="definition">trace_prefix</span></a> (<a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a>) (<a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a>).<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">destruct</span> <span class="id" title="var">H</span> <span class="id" title="keyword">as</span> [<span class="id" title="var">t3</span> <span class="id" title="var">EQ</span>]. <span class="id" title="tactic">∃</span> <span class="id" title="var">t3</span>. <span class="id" title="var">traceEq</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="traceinf_prefix_app"><span class="id" title="lemma">traceinf_prefix_app</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">t1</span> <span class="id" title="var">T2</span> <span class="id" title="var">t</span>,<br/>
<a class="idref" href="compcert.common.Events.html#traceinf_prefix"><span class="id" title="definition">traceinf_prefix</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#traceinf_prefix"><span class="id" title="definition">traceinf_prefix</span></a> (<a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#6b97e27793a3d22f5c0d1dd63170fd68"><span class="id" title="notation">**</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a>) (<a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#f4a2b19c2e41371f81a1edc89b65a022"><span class="id" title="notation">***</span></a> <a class="idref" href="compcert.common.Events.html#T2"><span class="id" title="variable">T2</span></a>).<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">destruct</span> <span class="id" title="var">H</span> <span class="id" title="keyword">as</span> [<span class="id" title="var">T3</span> <span class="id" title="var">EQ</span>]. <span class="id" title="tactic">∃</span> <span class="id" title="var">T3</span>. <span class="id" title="tactic">subst</span> <span class="id" title="var">T2</span>. <span class="id" title="var">traceEq</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
</div>
<div class="doc">
<a name="lab142"></a><h1 class="section">Relating values and event values</h1>
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Set Implicit Arguments</span>.<br/>
<br/>
<span class="id" title="keyword">Section</span> <a name="EVENTVAL"><span class="id" title="section">EVENTVAL</span></a>.<br/>
<br/>
</div>
<div class="doc">
Symbol environment used to translate between global variable names and their block identifiers.
</div>
<div class="code">
<span class="id" title="keyword">Variable</span> <a name="EVENTVAL.ge"><span class="id" title="variable">ge</span></a>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>.<br/>
<br/>
</div>
<div class="doc">
Translation between values and event values.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Inductive</span> <a name="eventval_match"><span class="id" title="inductive">eventval_match</span></a>: <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.AST.html#typ"><span class="id" title="inductive">typ</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#val"><span class="id" title="inductive">val</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span> :=<br/>
| <a name="ev_match_int"><span class="id" title="constructor">ev_match_int</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">i</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> (<a class="idref" href="compcert.common.Events.html#EVint"><span class="id" title="constructor">EVint</span></a> <a class="idref" href="compcert.common.Events.html#i"><span class="id" title="variable">i</span></a>) <a class="idref" href="compcert.common.AST.html#Tint"><span class="id" title="constructor">Tint</span></a> (<a class="idref" href="compcert.common.Values.html#Vint"><span class="id" title="constructor">Vint</span></a> <a class="idref" href="compcert.common.Events.html#i"><span class="id" title="variable">i</span></a>)<br/>
| <a name="ev_match_long"><span class="id" title="constructor">ev_match_long</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">i</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> (<a class="idref" href="compcert.common.Events.html#EVlong"><span class="id" title="constructor">EVlong</span></a> <a class="idref" href="compcert.common.Events.html#i"><span class="id" title="variable">i</span></a>) <a class="idref" href="compcert.common.AST.html#Tlong"><span class="id" title="constructor">Tlong</span></a> (<a class="idref" href="compcert.common.Values.html#Vlong"><span class="id" title="constructor">Vlong</span></a> <a class="idref" href="compcert.common.Events.html#i"><span class="id" title="variable">i</span></a>)<br/>
| <a name="ev_match_float"><span class="id" title="constructor">ev_match_float</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">f</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> (<a class="idref" href="compcert.common.Events.html#EVfloat"><span class="id" title="constructor">EVfloat</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a>) <a class="idref" href="compcert.common.AST.html#Tfloat"><span class="id" title="constructor">Tfloat</span></a> (<a class="idref" href="compcert.common.Values.html#Vfloat"><span class="id" title="constructor">Vfloat</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a>)<br/>
| <a name="ev_match_single"><span class="id" title="constructor">ev_match_single</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">f</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> (<a class="idref" href="compcert.common.Events.html#EVsingle"><span class="id" title="constructor">EVsingle</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a>) <a class="idref" href="compcert.common.AST.html#Tsingle"><span class="id" title="constructor">Tsingle</span></a> (<a class="idref" href="compcert.common.Values.html#Vsingle"><span class="id" title="constructor">Vsingle</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a>)<br/>
| <a name="ev_match_ptr"><span class="id" title="constructor">ev_match_ptr</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">id</span> <span class="id" title="var">b</span> <span class="id" title="var">ofs</span>,<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL.ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#true"><span class="id" title="constructor">true</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL.ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> (<a class="idref" href="compcert.common.Events.html#EVptr_global"><span class="id" title="constructor">EVptr_global</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a>) <a class="idref" href="compcert.common.AST.html#Tptr"><span class="id" title="definition">Tptr</span></a> (<a class="idref" href="compcert.common.Values.html#Vptr"><span class="id" title="constructor">Vptr</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a>).<br/>
<br/>
<span class="id" title="keyword">Inductive</span> <a name="eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a>: <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#list"><span class="id" title="inductive">list</span></a> <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#list"><span class="id" title="inductive">list</span></a> <a class="idref" href="compcert.common.AST.html#typ"><span class="id" title="inductive">typ</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#list"><span class="id" title="inductive">list</span></a> <a class="idref" href="compcert.common.Values.html#val"><span class="id" title="inductive">val</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span> :=<br/>
| <a name="evl_match_nil"><span class="id" title="constructor">evl_match_nil</span></a>:<br/>
<a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a><br/>
| <a name="evl_match_cons"><span class="id" title="constructor">evl_match_cons</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev1</span> <span class="id" title="var">evl</span> <span class="id" title="var">ty1</span> <span class="id" title="var">tyl</span> <span class="id" title="var">v1</span> <span class="id" title="var">vl</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="compcert.common.Events.html#ty1"><span class="id" title="variable">ty1</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> (<a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a><a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a>) (<a class="idref" href="compcert.common.Events.html#ty1"><span class="id" title="variable">ty1</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a><a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a>) (<a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a><a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a>).<br/>
<br/>
</div>
<div class="doc">
Some properties of these translation predicates.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_type"><span class="id" title="lemma">eventval_match_type</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span> <span class="id" title="var">ty</span> <span class="id" title="var">v</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#Val.has_type"><span class="id" title="definition">Val.has_type</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="tactic">simpl</span>; <span class="id" title="tactic">auto</span>. <span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.AST.html#Tptr"><span class="id" title="definition">Tptr</span></a>; <span class="id" title="tactic">destruct</span> <a class="idref" href="compcert.x86_64.Archi.html#ptr64"><span class="id" title="definition">Archi.ptr64</span></a>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_list_match_length"><span class="id" title="lemma">eventval_list_match_length</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">evl</span> <span class="id" title="var">tyl</span> <span class="id" title="var">vl</span>, <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Lists.List.html#length"><span class="id" title="abbreviation">List.length</span></a> <a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Lists.List.html#length"><span class="id" title="abbreviation">List.length</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> 1; <span class="id" title="tactic">simpl</span>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_lessdef"><span class="id" title="lemma">eventval_match_lessdef</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span> <span class="id" title="var">ty</span> <span class="id" title="var">v1</span> <span class="id" title="var">v2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#Val.lessdef"><span class="id" title="inductive">Val.lessdef</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H0</span>; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_list_match_lessdef"><span class="id" title="lemma">eventval_list_match_lessdef</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">evl</span> <span class="id" title="var">tyl</span> <span class="id" title="var">vl1</span>, <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl1"><span class="id" title="variable">vl1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">vl2</span>, <a class="idref" href="compcert.common.Values.html#Val.lessdef_list"><span class="id" title="inductive">Val.lessdef_list</span></a> <a class="idref" href="compcert.common.Events.html#vl1"><span class="id" title="variable">vl1</span></a> <a class="idref" href="compcert.common.Events.html#vl2"><span class="id" title="variable">vl2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl2"><span class="id" title="variable">vl2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> 1; <span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="tactic">constructor</span>.<br/>
<span class="id" title="var">inv</span> <span class="id" title="var">H1</span>. <span class="id" title="tactic">constructor</span>. <span class="id" title="tactic">eapply</span> <a class="idref" href="compcert.common.Events.html#eventval_match_lessdef"><span class="id" title="lemma">eventval_match_lessdef</span></a>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
</div>
<div class="doc">
Determinism
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_determ_1"><span class="id" title="lemma">eventval_match_determ_1</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span> <span class="id" title="var">ty</span> <span class="id" title="var">v1</span> <span class="id" title="var">v2</span>, <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H0</span>; <span class="id" title="tactic">auto</span>. <span class="id" title="tactic">congruence</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_determ_2"><span class="id" title="lemma">eventval_match_determ_2</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev1</span> <span class="id" title="var">ev2</span> <span class="id" title="var">ty</span> <span class="id" title="var">v</span>, <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev2"><span class="id" title="variable">ev2</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#ev2"><span class="id" title="variable">ev2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H0</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="var">decEq</span>. <span class="id" title="tactic">eapply</span> <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol_injective"><span class="id" title="projection">Senv.find_symbol_injective</span></a>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_list_match_determ_2"><span class="id" title="lemma">eventval_list_match_determ_2</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">evl1</span> <span class="id" title="var">tyl</span> <span class="id" title="var">vl</span>, <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#evl1"><span class="id" title="variable">evl1</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">evl2</span>, <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#evl2"><span class="id" title="variable">evl2</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#evl1"><span class="id" title="variable">evl1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#evl2"><span class="id" title="variable">evl2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> 1; <span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>. <span class="id" title="tactic">auto</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H1</span>. <span class="id" title="tactic">f_equal</span>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="tactic">eapply</span> <a class="idref" href="compcert.common.Events.html#eventval_match_determ_2"><span class="id" title="lemma">eventval_match_determ_2</span></a>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
</div>
<div class="doc">
Validity
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Definition</span> <a name="eventval_valid"><span class="id" title="definition">eventval_valid</span></a> (<span class="id" title="var">ev</span>: <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a>) : <span class="id" title="keyword">Prop</span> :=<br/>
<span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <span class="id" title="keyword">with</span><br/>
| <a class="idref" href="compcert.common.Events.html#EVint"><span class="id" title="constructor">EVint</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#True"><span class="id" title="inductive">True</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVlong"><span class="id" title="constructor">EVlong</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#True"><span class="id" title="inductive">True</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVfloat"><span class="id" title="constructor">EVfloat</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#True"><span class="id" title="inductive">True</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVsingle"><span class="id" title="constructor">EVsingle</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#True"><span class="id" title="inductive">True</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVptr_global"><span class="id" title="constructor">EVptr_global</span></a> <span class="id" title="var">id</span> <span class="id" title="var">ofs</span> ⇒ <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL.ge"><span class="id" title="variable">ge</span></a> <span class="id" title="var">id</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#true"><span class="id" title="constructor">true</span></a><br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="eventval_type"><span class="id" title="definition">eventval_type</span></a> (<span class="id" title="var">ev</span>: <a class="idref" href="compcert.common.Events.html#eventval"><span class="id" title="inductive">eventval</span></a>) : <a class="idref" href="compcert.common.AST.html#typ"><span class="id" title="inductive">typ</span></a> :=<br/>
<span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <span class="id" title="keyword">with</span><br/>
| <a class="idref" href="compcert.common.Events.html#EVint"><span class="id" title="constructor">EVint</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="compcert.common.AST.html#Tint"><span class="id" title="constructor">Tint</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVlong"><span class="id" title="constructor">EVlong</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="compcert.common.AST.html#Tlong"><span class="id" title="constructor">Tlong</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVfloat"><span class="id" title="constructor">EVfloat</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="compcert.common.AST.html#Tfloat"><span class="id" title="constructor">Tfloat</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVsingle"><span class="id" title="constructor">EVsingle</span></a> <span class="id" title="var">_</span> ⇒ <a class="idref" href="compcert.common.AST.html#Tsingle"><span class="id" title="constructor">Tsingle</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#EVptr_global"><span class="id" title="constructor">EVptr_global</span></a> <span class="id" title="var">id</span> <span class="id" title="var">ofs</span> ⇒ <a class="idref" href="compcert.common.AST.html#Tptr"><span class="id" title="definition">Tptr</span></a><br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_receptive"><span class="id" title="lemma">eventval_match_receptive</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev1</span> <span class="id" title="var">ty</span> <span class="id" title="var">v1</span> <span class="id" title="var">ev2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#ev2"><span class="id" title="variable">ev2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#ev2"><span class="id" title="variable">ev2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">∃</span></a> <span class="id" title="var">v2</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">,</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev2"><span class="id" title="variable">ev2</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a>, <a class="idref" href="compcert.common.AST.html#Tptr"><span class="id" title="definition">Tptr</span></a> <span class="id" title="keyword">in</span> <span class="id" title="var">H2</span>. <span class="id" title="var">remember</span> <a class="idref" href="compcert.x86_64.Archi.html#ptr64"><span class="id" title="definition">Archi.ptr64</span></a> <span class="id" title="keyword">as</span> <span class="id" title="var">ptr64</span>.<br/>
<span class="id" title="tactic">inversion</span> <span class="id" title="var">H</span>; <span class="id" title="tactic">subst</span> <span class="id" title="var">ev1</span> <span class="id" title="var">ty</span> <span class="id" title="var">v1</span>; <span class="id" title="tactic">clear</span> <span class="id" title="var">H</span>; <span class="id" title="tactic">destruct</span> <span class="id" title="var">ev2</span>; <span class="id" title="tactic">simpl</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H2</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H2</span>.<br/>
- <span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vint"><span class="id" title="constructor">Vint</span></a> <span class="id" title="var">i0</span>); <span class="id" title="tactic">constructor</span>.<br/>
- <span class="id" title="tactic">simpl</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H1</span>; <span class="id" title="var">exploit</span> <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol_exists"><span class="id" title="projection">Senv.public_symbol_exists</span></a>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">intros</span> [<span class="id" title="var">b</span> <span class="id" title="var">FS</span>].<br/>
<span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vptr"><span class="id" title="constructor">Vptr</span></a> <span class="id" title="var">b</span> <span class="id" title="var">i1</span>); <span class="id" title="tactic">rewrite</span> <span class="id" title="var">H3</span>. <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
- <span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vlong"><span class="id" title="constructor">Vlong</span></a> <span class="id" title="var">i0</span>); <span class="id" title="tactic">constructor</span>.<br/>
- <span class="id" title="tactic">simpl</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H1</span>; <span class="id" title="var">exploit</span> <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol_exists"><span class="id" title="projection">Senv.public_symbol_exists</span></a>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">intros</span> [<span class="id" title="var">b</span> <span class="id" title="var">FS</span>].<br/>
<span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vptr"><span class="id" title="constructor">Vptr</span></a> <span class="id" title="var">b</span> <span class="id" title="var">i1</span>); <span class="id" title="tactic">rewrite</span> <span class="id" title="var">H3</span>; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
- <span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vfloat"><span class="id" title="constructor">Vfloat</span></a> <span class="id" title="var">f0</span>); <span class="id" title="tactic">constructor</span>.<br/>
- <span class="id" title="tactic">destruct</span> <a class="idref" href="compcert.x86_64.Archi.html#ptr64"><span class="id" title="definition">Archi.ptr64</span></a>; <span class="id" title="tactic">discriminate</span>.<br/>
- <span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vsingle"><span class="id" title="constructor">Vsingle</span></a> <span class="id" title="var">f0</span>); <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
- <span class="id" title="tactic">destruct</span> <a class="idref" href="compcert.x86_64.Archi.html#ptr64"><span class="id" title="definition">Archi.ptr64</span></a>; <span class="id" title="tactic">discriminate</span>.<br/>
- <span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vint"><span class="id" title="constructor">Vint</span></a> <span class="id" title="var">i</span>); <span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.AST.html#Tptr"><span class="id" title="definition">Tptr</span></a>; <span class="id" title="tactic">rewrite</span> <span class="id" title="var">H5</span>; <span class="id" title="tactic">constructor</span>.<br/>
- <span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vlong"><span class="id" title="constructor">Vlong</span></a> <span class="id" title="var">i</span>); <span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.AST.html#Tptr"><span class="id" title="definition">Tptr</span></a>; <span class="id" title="tactic">rewrite</span> <span class="id" title="var">H5</span>; <span class="id" title="tactic">constructor</span>.<br/>
- <span class="id" title="tactic">destruct</span> <a class="idref" href="compcert.x86_64.Archi.html#ptr64"><span class="id" title="definition">Archi.ptr64</span></a>; <span class="id" title="tactic">discriminate</span>.<br/>
- <span class="id" title="tactic">destruct</span> <a class="idref" href="compcert.x86_64.Archi.html#ptr64"><span class="id" title="definition">Archi.ptr64</span></a>; <span class="id" title="tactic">discriminate</span>.<br/>
- <span class="id" title="var">exploit</span> <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol_exists"><span class="id" title="projection">Senv.public_symbol_exists</span></a>. <span class="id" title="tactic">eexact</span> <span class="id" title="var">H1</span>. <span class="id" title="tactic">intros</span> [<span class="id" title="var">b'</span> <span class="id" title="var">FS</span>].<br/>
<span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vptr"><span class="id" title="constructor">Vptr</span></a> <span class="id" title="var">b'</span> <span class="id" title="var">i0</span>); <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_valid"><span class="id" title="lemma">eventval_match_valid</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span> <span class="id" title="var">ty</span> <span class="id" title="var">v</span>, <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">destruct</span> 1; <span class="id" title="tactic">simpl</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_same_type"><span class="id" title="lemma">eventval_match_same_type</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev1</span> <span class="id" title="var">ty</span> <span class="id" title="var">v1</span> <span class="id" title="var">ev2</span> <span class="id" title="var">v2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#ev2"><span class="id" title="variable">ev2</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#ev1"><span class="id" title="variable">ev1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#ev2"><span class="id" title="variable">ev2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">destruct</span> 1; <span class="id" title="tactic">intros</span> <span class="id" title="var">EV</span>; <span class="id" title="var">inv</span> <span class="id" title="var">EV</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">End</span> <a class="idref" href="compcert.common.Events.html#EVENTVAL"><span class="id" title="section">EVENTVAL</span></a>.<br/>
<br/>
</div>
<div class="doc">
Invariance under changes to the global environment
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Section</span> <a name="EVENTVAL_INV"><span class="id" title="section">EVENTVAL_INV</span></a>.<br/>
<br/>
<span class="id" title="keyword">Variables</span> <a name="EVENTVAL_INV.ge1"><span class="id" title="variable">ge1</span></a> <a name="EVENTVAL_INV.ge2"><span class="id" title="variable">ge2</span></a>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>.<br/>
<br/>
<span class="id" title="keyword">Hypothesis</span> <a name="EVENTVAL_INV.public_preserved"><span class="id" title="variable">public_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">id</span>, <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_valid_preserved"><span class="id" title="lemma">eventval_valid_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span>, <a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="tactic">destruct</span> <span class="id" title="var">ev</span>; <span class="id" title="tactic">simpl</span> <span class="id" title="keyword">in</span> *; <span class="id" title="tactic">auto</span>. <span class="id" title="tactic">rewrite</span> <- <span class="id" title="var">H</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Hypothesis</span> <a name="EVENTVAL_INV.symbols_preserved"><span class="id" title="variable">symbols_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">id</span>, <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_preserved"><span class="id" title="lemma">eventval_match_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span> <span class="id" title="var">ty</span> <span class="id" title="var">v</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> 1; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="tactic">rewrite</span> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.public_preserved"><span class="id" title="variable">public_preserved</span></a>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="tactic">rewrite</span> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.symbols_preserved"><span class="id" title="variable">symbols_preserved</span></a>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_list_match_preserved"><span class="id" title="lemma">eventval_list_match_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">evl</span> <span class="id" title="var">tyl</span> <span class="id" title="var">vl</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl"><span class="id" title="variable">vl</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> 1; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>. <span class="id" title="tactic">eapply</span> <a class="idref" href="compcert.common.Events.html#eventval_match_preserved"><span class="id" title="lemma">eventval_match_preserved</span></a>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">End</span> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INV"><span class="id" title="section">EVENTVAL_INV</span></a>.<br/>
<br/>
</div>
<div class="doc">
Compatibility with memory injections
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Section</span> <a name="EVENTVAL_INJECT"><span class="id" title="section">EVENTVAL_INJECT</span></a>.<br/>
<br/>
<span class="id" title="keyword">Variable</span> <a name="EVENTVAL_INJECT.f"><span class="id" title="variable">f</span></a>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#option"><span class="id" title="inductive">option</span></a> (<a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#d19c7eafd0e2d195d10df94b392087b5"><span class="id" title="notation">×</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>).<br/>
<span class="id" title="keyword">Variable</span> <a name="EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a name="EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="symbols_inject"><span class="id" title="definition">symbols_inject</span></a> : <span class="id" title="keyword">Prop</span> :=<br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">(</span></a><span class="id" title="keyword">∀</span> <span class="id" title="var">id</span>, <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">)</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">(</span></a><span class="id" title="keyword">∀</span> <span class="id" title="var">id</span> <span class="id" title="var">b1</span> <span class="id" title="var">b2</span> <span class="id" title="keyword">delta</span>,<br/>
<a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> <span class="id" title="keyword">delta</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<span class="id" title="keyword">delta</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> 0 <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">)</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">(</span></a><span class="id" title="keyword">∀</span> <span class="id" title="var">id</span> <span class="id" title="var">b1</span>,<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#true"><span class="id" title="constructor">true</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">∃</span></a> <span class="id" title="var">b2</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">,</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> 0<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">)</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">(</span></a><span class="id" title="keyword">∀</span> <span class="id" title="var">b1</span> <span class="id" title="var">b2</span> <span class="id" title="keyword">delta</span>,<br/>
<a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> <span class="id" title="keyword">delta</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">)</span></a>.<br/>
<br/>
<span class="id" title="keyword">Hypothesis</span> <a name="EVENTVAL_INJECT.symb_inj"><span class="id" title="variable">symb_inj</span></a>: <a class="idref" href="compcert.common.Events.html#symbols_inject"><span class="id" title="definition">symbols_inject</span></a>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_inject"><span class="id" title="lemma">eventval_match_inject</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span> <span class="id" title="var">ty</span> <span class="id" title="var">v1</span> <span class="id" title="var">v2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#Val.inject"><span class="id" title="inductive">Val.inject</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H0</span>; <span class="id" title="tactic">try</span> <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="tactic">destruct</span> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.symb_inj"><span class="id" title="variable">symb_inj</span></a> <span class="id" title="keyword">as</span> (<span class="id" title="var">A</span> & <span class="id" title="var">B</span> & <span class="id" title="var">C</span> & <span class="id" title="var">D</span>). <span class="id" title="var">exploit</span> <span class="id" title="var">C</span>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">intros</span> [<span class="id" title="var">b3</span> [<span class="id" title="var">EQ</span> <span class="id" title="var">FS</span>]]. <span class="id" title="tactic">rewrite</span> <span class="id" title="var">H4</span> <span class="id" title="keyword">in</span> <span class="id" title="var">EQ</span>; <span class="id" title="var">inv</span> <span class="id" title="var">EQ</span>.<br/>
<span class="id" title="tactic">rewrite</span> <a class="idref" href="compcert.lib.Integers.html#Ptrofs.add_zero"><span class="id" title="lemma">Ptrofs.add_zero</span></a>. <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>. <span class="id" title="tactic">rewrite</span> <span class="id" title="var">A</span>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_match_inject_2"><span class="id" title="lemma">eventval_match_inject_2</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ev</span> <span class="id" title="var">ty</span> <span class="id" title="var">v1</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">∃</span></a> <span class="id" title="var">v2</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#84eb6d2849dbf3581b1c0c05add5f2d8"><span class="id" title="notation">,</span></a> <a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="compcert.common.Events.html#ty"><span class="id" title="variable">ty</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="compcert.common.Values.html#Val.inject"><span class="id" title="inductive">Val.inject</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#v1"><span class="id" title="variable">v1</span></a> <a class="idref" href="compcert.common.Events.html#v2"><span class="id" title="variable">v2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="tactic">try</span> (<span class="id" title="tactic">econstructor</span>; <span class="id" title="tactic">split</span>; <span class="id" title="tactic">eauto</span>; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">fail</span>).<br/>
<span class="id" title="tactic">destruct</span> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.symb_inj"><span class="id" title="variable">symb_inj</span></a> <span class="id" title="keyword">as</span> (<span class="id" title="var">A</span> & <span class="id" title="var">B</span> & <span class="id" title="var">C</span> & <span class="id" title="var">D</span>). <span class="id" title="var">exploit</span> <span class="id" title="var">C</span>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">intros</span> [<span class="id" title="var">b2</span> [<span class="id" title="var">EQ</span> <span class="id" title="var">FS</span>]].<br/>
<span class="id" title="tactic">∃</span> (<a class="idref" href="compcert.common.Values.html#Vptr"><span class="id" title="constructor">Vptr</span></a> <span class="id" title="var">b2</span> <span class="id" title="var">ofs</span>); <span class="id" title="tactic">split</span>. <span class="id" title="tactic">econstructor</span>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="tactic">econstructor</span>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">rewrite</span> <a class="idref" href="compcert.lib.Integers.html#Ptrofs.add_zero"><span class="id" title="lemma">Ptrofs.add_zero</span></a>; <span class="id" title="tactic">auto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="eventval_list_match_inject"><span class="id" title="lemma">eventval_list_match_inject</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">evl</span> <span class="id" title="var">tyl</span> <span class="id" title="var">vl1</span>, <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl1"><span class="id" title="variable">vl1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">vl2</span>, <a class="idref" href="compcert.common.Values.html#Val.inject_list"><span class="id" title="inductive">Val.inject_list</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#vl1"><span class="id" title="variable">vl1</span></a> <a class="idref" href="compcert.common.Events.html#vl2"><span class="id" title="variable">vl2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_list_match"><span class="id" title="inductive">eventval_list_match</span></a> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#evl"><span class="id" title="variable">evl</span></a> <a class="idref" href="compcert.common.Events.html#tyl"><span class="id" title="variable">tyl</span></a> <a class="idref" href="compcert.common.Events.html#vl2"><span class="id" title="variable">vl2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> 1; <span class="id" title="tactic">intros</span>. <span class="id" title="var">inv</span> <span class="id" title="var">H</span>; <span class="id" title="tactic">constructor</span>.<br/>
<span class="id" title="var">inv</span> <span class="id" title="var">H1</span>. <span class="id" title="tactic">constructor</span>. <span class="id" title="tactic">eapply</span> <a class="idref" href="compcert.common.Events.html#eventval_match_inject"><span class="id" title="lemma">eventval_match_inject</span></a>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">End</span> <a class="idref" href="compcert.common.Events.html#EVENTVAL_INJECT"><span class="id" title="section">EVENTVAL_INJECT</span></a>.<br/>
<br/>
</div>
<div class="doc">
<a name="lab143"></a><h1 class="section">Matching traces.</h1>
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Section</span> <a name="MATCH_TRACES"><span class="id" title="section">MATCH_TRACES</span></a>.<br/>
<br/>
<span class="id" title="keyword">Variable</span> <a name="MATCH_TRACES.ge"><span class="id" title="variable">ge</span></a>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>.<br/>
<br/>
</div>
<div class="doc">
Matching between traces corresponding to single transitions.
Arguments (provided by the program) must be equal.
Results (provided by the outside world) can vary as long as they
can be converted safely to values.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Inductive</span> <a name="match_traces"><span class="id" title="inductive">match_traces</span></a>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span> :=<br/>
| <a name="match_traces_E0"><span class="id" title="constructor">match_traces_E0</span></a>:<br/>
<a class="idref" href="compcert.common.Events.html#match_traces"><span class="id" title="inductive">match_traces</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a><br/>
| <a name="match_traces_syscall"><span class="id" title="constructor">match_traces_syscall</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">id</span> <span class="id" title="var">args</span> <span class="id" title="var">res1</span> <span class="id" title="var">res2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES.ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#res1"><span class="id" title="variable">res1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES.ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#res2"><span class="id" title="variable">res2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#res1"><span class="id" title="variable">res1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#res2"><span class="id" title="variable">res2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#match_traces"><span class="id" title="inductive">match_traces</span></a> (<a class="idref" href="compcert.common.Events.html#Event_syscall"><span class="id" title="constructor">Event_syscall</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#args"><span class="id" title="variable">args</span></a> <a class="idref" href="compcert.common.Events.html#res1"><span class="id" title="variable">res1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>) (<a class="idref" href="compcert.common.Events.html#Event_syscall"><span class="id" title="constructor">Event_syscall</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#args"><span class="id" title="variable">args</span></a> <a class="idref" href="compcert.common.Events.html#res2"><span class="id" title="variable">res2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>)<br/>
| <a name="match_traces_vload"><span class="id" title="constructor">match_traces_vload</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">chunk</span> <span class="id" title="var">id</span> <span class="id" title="var">ofs</span> <span class="id" title="var">res1</span> <span class="id" title="var">res2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES.ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#res1"><span class="id" title="variable">res1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_valid"><span class="id" title="definition">eventval_valid</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES.ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#res2"><span class="id" title="variable">res2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#res1"><span class="id" title="variable">res1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Events.html#eventval_type"><span class="id" title="definition">eventval_type</span></a> <a class="idref" href="compcert.common.Events.html#res2"><span class="id" title="variable">res2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#match_traces"><span class="id" title="inductive">match_traces</span></a> (<a class="idref" href="compcert.common.Events.html#Event_vload"><span class="id" title="constructor">Event_vload</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#res1"><span class="id" title="variable">res1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>) (<a class="idref" href="compcert.common.Events.html#Event_vload"><span class="id" title="constructor">Event_vload</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#res2"><span class="id" title="variable">res2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>)<br/>
| <a name="match_traces_vstore"><span class="id" title="constructor">match_traces_vstore</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">chunk</span> <span class="id" title="var">id</span> <span class="id" title="var">ofs</span> <span class="id" title="var">arg</span>,<br/>
<a class="idref" href="compcert.common.Events.html#match_traces"><span class="id" title="inductive">match_traces</span></a> (<a class="idref" href="compcert.common.Events.html#Event_vstore"><span class="id" title="constructor">Event_vstore</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#arg"><span class="id" title="variable">arg</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>) (<a class="idref" href="compcert.common.Events.html#Event_vstore"><span class="id" title="constructor">Event_vstore</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#arg"><span class="id" title="variable">arg</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>)<br/>
| <a name="match_traces_annot"><span class="id" title="constructor">match_traces_annot</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">id</span> <span class="id" title="var">args</span>,<br/>
<a class="idref" href="compcert.common.Events.html#match_traces"><span class="id" title="inductive">match_traces</span></a> (<a class="idref" href="compcert.common.Events.html#Event_annot"><span class="id" title="constructor">Event_annot</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#args"><span class="id" title="variable">args</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>) (<a class="idref" href="compcert.common.Events.html#Event_annot"><span class="id" title="constructor">Event_annot</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#args"><span class="id" title="variable">args</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>).<br/>
<br/>
<span class="id" title="keyword">End</span> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES"><span class="id" title="section">MATCH_TRACES</span></a>.<br/>
<br/>
</div>
<div class="doc">
Invariance by change of global environment
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Section</span> <a name="MATCH_TRACES_INV"><span class="id" title="section">MATCH_TRACES_INV</span></a>.<br/>
<br/>
<span class="id" title="keyword">Variables</span> <a name="MATCH_TRACES_INV.ge1"><span class="id" title="variable">ge1</span></a> <a name="MATCH_TRACES_INV.ge2"><span class="id" title="variable">ge2</span></a>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>.<br/>
<br/>
<span class="id" title="keyword">Hypothesis</span> <a name="MATCH_TRACES_INV.public_preserved"><span class="id" title="variable">public_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">id</span>, <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES_INV.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.public_symbol"><span class="id" title="projection">Senv.public_symbol</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES_INV.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="match_traces_preserved"><span class="id" title="lemma">match_traces_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">t1</span> <span class="id" title="var">t2</span>, <a class="idref" href="compcert.common.Events.html#match_traces"><span class="id" title="inductive">match_traces</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES_INV.ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#match_traces"><span class="id" title="inductive">match_traces</span></a> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES_INV.ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#t1"><span class="id" title="variable">t1</span></a> <a class="idref" href="compcert.common.Events.html#t2"><span class="id" title="variable">t2</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">induction</span> 1; <span class="id" title="tactic">constructor</span>; <span class="id" title="tactic">auto</span>; <span class="id" title="tactic">eapply</span> <a class="idref" href="compcert.common.Events.html#eventval_valid_preserved"><span class="id" title="lemma">eventval_valid_preserved</span></a>; <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">End</span> <a class="idref" href="compcert.common.Events.html#MATCH_TRACES_INV"><span class="id" title="section">MATCH_TRACES_INV</span></a>.<br/>
<br/>
</div>
<div class="doc">
An output trace is a trace composed only of output events,
that is, events that do not take any result from the outside world.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Definition</span> <a name="output_event"><span class="id" title="definition">output_event</span></a> (<span class="id" title="var">ev</span>: <a class="idref" href="compcert.common.Events.html#event"><span class="id" title="inductive">event</span></a>) : <span class="id" title="keyword">Prop</span> :=<br/>
<span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <span class="id" title="keyword">with</span><br/>
| <a class="idref" href="compcert.common.Events.html#Event_syscall"><span class="id" title="constructor">Event_syscall</span></a> <span class="id" title="var">_</span> <span class="id" title="var">_</span> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#False"><span class="id" title="inductive">False</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#Event_vload"><span class="id" title="constructor">Event_vload</span></a> <span class="id" title="var">_</span> <span class="id" title="var">_</span> <span class="id" title="var">_</span> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#False"><span class="id" title="inductive">False</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#Event_vstore"><span class="id" title="constructor">Event_vstore</span></a> <span class="id" title="var">_</span> <span class="id" title="var">_</span> <span class="id" title="var">_</span> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#True"><span class="id" title="inductive">True</span></a><br/>
| <a class="idref" href="compcert.common.Events.html#Event_annot"><span class="id" title="constructor">Event_annot</span></a> <span class="id" title="var">_</span> <span class="id" title="var">_</span> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#True"><span class="id" title="inductive">True</span></a><br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
<span class="id" title="keyword">Fixpoint</span> <a name="output_trace"><span class="id" title="definition">output_trace</span></a> (<span class="id" title="var">t</span>: <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a>) : <span class="id" title="keyword">Prop</span> :=<br/>
<span class="id" title="keyword">match</span> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <span class="id" title="keyword">with</span><br/>
| <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a> ⇒ <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#True"><span class="id" title="inductive">True</span></a><br/>
| <span class="id" title="var">ev</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <span class="id" title="var">t'</span> ⇒ <a class="idref" href="compcert.common.Events.html#output_event"><span class="id" title="definition">output_event</span></a> <span class="id" title="var">ev</span> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="compcert.common.Events.html#output_trace"><span class="id" title="definition">output_trace</span></a> <span class="id" title="var">t'</span><br/>
<span class="id" title="keyword">end</span>.<br/>
<br/>
</div>
<div class="doc">
<a name="lab144"></a><h1 class="section">Semantics of volatile memory accesses</h1>
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Section</span> <a name="WITHMEMORYMODELOPS"><span class="id" title="section">WITHMEMORYMODELOPS</span></a>.<br/>
<span class="id" title="keyword">Context</span> `{<span class="id" title="var">memory_model_ops</span>: <a class="idref" href="compcert.common.Memtype.html#Mem.MemoryModelOps"><span class="id" title="class">Mem.MemoryModelOps</span></a>}.<br/>
<br/>
<span class="id" title="keyword">Inductive</span> <a name="volatile_load"><span class="id" title="inductive">volatile_load</span></a> (<span class="id" title="var">ge</span>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>):<br/>
<a class="idref" href="compcert.common.AST.html#memory_chunk"><span class="id" title="inductive">memory_chunk</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODELOPS.mem"><span class="id" title="variable">mem</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.lib.Integers.html#ptrofs"><span class="id" title="abbreviation">ptrofs</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#val"><span class="id" title="inductive">val</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span> :=<br/>
| <a name="volatile_load_vol"><span class="id" title="constructor">volatile_load_vol</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">chunk</span> <span class="id" title="var">m</span> <span class="id" title="var">b</span> <span class="id" title="var">ofs</span> <span class="id" title="var">id</span> <span class="id" title="var">ev</span> <span class="id" title="var">v</span>,<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#true"><span class="id" title="constructor">true</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> (<a class="idref" href="compcert.common.AST.html#type_of_chunk"><span class="id" title="definition">type_of_chunk</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a>) <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#volatile_load"><span class="id" title="inductive">volatile_load</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a><br/>
(<a class="idref" href="compcert.common.Events.html#Event_vload"><span class="id" title="constructor">Event_vload</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>)<br/>
(<a class="idref" href="compcert.common.Values.html#Val.load_result"><span class="id" title="definition">Val.load_result</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a>)<br/>
| <a name="volatile_load_nonvol"><span class="id" title="constructor">volatile_load_nonvol</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">chunk</span> <span class="id" title="var">m</span> <span class="id" title="var">b</span> <span class="id" title="var">ofs</span> <span class="id" title="var">v</span>,<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#false"><span class="id" title="constructor">false</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Memtype.html#Mem.load"><span class="id" title="method">Mem.load</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> (<a class="idref" href="compcert.lib.Integers.html#Ptrofs.unsigned"><span class="id" title="definition">Ptrofs.unsigned</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a>) <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#volatile_load"><span class="id" title="inductive">volatile_load</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a>.<br/>
<br/>
<span class="id" title="keyword">Inductive</span> <a name="volatile_store"><span class="id" title="inductive">volatile_store</span></a> (<span class="id" title="var">ge</span>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>):<br/>
<a class="idref" href="compcert.common.AST.html#memory_chunk"><span class="id" title="inductive">memory_chunk</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODELOPS.mem"><span class="id" title="variable">mem</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.lib.Integers.html#ptrofs"><span class="id" title="abbreviation">ptrofs</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#val"><span class="id" title="inductive">val</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODELOPS.mem"><span class="id" title="variable">mem</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span> :=<br/>
| <a name="volatile_store_vol"><span class="id" title="constructor">volatile_store_vol</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">chunk</span> <span class="id" title="var">m</span> <span class="id" title="var">b</span> <span class="id" title="var">ofs</span> <span class="id" title="var">id</span> <span class="id" title="var">ev</span> <span class="id" title="var">v</span>,<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#true"><span class="id" title="constructor">true</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#eventval_match"><span class="id" title="inductive">eventval_match</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> (<a class="idref" href="compcert.common.AST.html#type_of_chunk"><span class="id" title="definition">type_of_chunk</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a>) (<a class="idref" href="compcert.common.Values.html#Val.load_result"><span class="id" title="definition">Val.load_result</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a>) <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#volatile_store"><span class="id" title="inductive">volatile_store</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a><br/>
(<a class="idref" href="compcert.common.Events.html#Event_vstore"><span class="id" title="constructor">Event_vstore</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#ev"><span class="id" title="variable">ev</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#0a8150c3c4df34d205c5ed9a427e2ed5"><span class="id" title="notation">::</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#nil"><span class="id" title="constructor">nil</span></a>)<br/>
<a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a><br/>
| <a name="volatile_store_nonvol"><span class="id" title="constructor">volatile_store_nonvol</span></a>: <span class="id" title="keyword">∀</span> <span class="id" title="var">chunk</span> <span class="id" title="var">m</span> <span class="id" title="var">b</span> <span class="id" title="var">ofs</span> <span class="id" title="var">v</span> <span class="id" title="var">m'</span>,<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#false"><span class="id" title="constructor">false</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Memtype.html#Mem.store"><span class="id" title="method">Mem.store</span></a> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> (<a class="idref" href="compcert.lib.Integers.html#Ptrofs.unsigned"><span class="id" title="definition">Ptrofs.unsigned</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a>) <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#m'"><span class="id" title="variable">m'</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#volatile_store"><span class="id" title="inductive">volatile_store</span></a> <span class="id" title="var">ge</span> <a class="idref" href="compcert.common.Events.html#chunk"><span class="id" title="variable">chunk</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Events.html#v"><span class="id" title="variable">v</span></a> <a class="idref" href="compcert.common.Events.html#E0"><span class="id" title="definition">E0</span></a> <a class="idref" href="compcert.common.Events.html#m'"><span class="id" title="variable">m'</span></a>.<br/>
<br/>
<span class="id" title="keyword">End</span> <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODELOPS"><span class="id" title="section">WITHMEMORYMODELOPS</span></a>.<br/>
<br/>
</div>
<div class="doc">
<a name="lab145"></a><h1 class="section">Semantics of external functions</h1>
<div class="paragraph"> </div>
For each external function, its behavior is defined by a predicate relating:
<ul class="doclist">
<li> the global symbol environment
</li>
<li> the values of the arguments passed to this function
</li>
<li> the memory state before the call
</li>
<li> the result value of the call
</li>
<li> the memory state after the call
</li>
<li> the trace generated by the call (can be empty).
</li>
</ul>
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Definition</span> <a name="extcall_sem"><span class="id" title="definition">extcall_sem</span></a> `{<span class="id" title="var">memory_model_ops</span>: <a class="idref" href="compcert.common.Memtype.html#Mem.MemoryModelOps"><span class="id" title="class">Mem.MemoryModelOps</span></a>} : <span class="id" title="keyword">Type</span> :=<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#list"><span class="id" title="inductive">list</span></a> <a class="idref" href="compcert.common.Values.html#val"><span class="id" title="inductive">val</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#mem"><span class="id" title="variable">mem</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#trace"><span class="id" title="definition">trace</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Values.html#val"><span class="id" title="inductive">val</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#mem"><span class="id" title="variable">mem</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <span class="id" title="keyword">Prop</span>.<br/>
<br/>
</div>
<div class="doc">
We now specify the expected properties of this predicate.
</div>
<div class="code">
<br/>
<span class="id" title="keyword">Section</span> <a name="WITHMEMORYMODEL"><span class="id" title="section">WITHMEMORYMODEL</span></a>.<br/>
<span class="id" title="keyword">Context</span> `{<span class="id" title="var">memory_model_prf</span>: <a class="idref" href="compcert.common.Memtype.html#Mem.MemoryModel"><span class="id" title="class">Mem.MemoryModel</span></a>}.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="loc_out_of_bounds"><span class="id" title="definition">loc_out_of_bounds</span></a> (<span class="id" title="var">m</span>: <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODEL.mem"><span class="id" title="variable">mem</span></a>) (<span class="id" title="var">b</span>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a>) (<span class="id" title="var">ofs</span>: <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>) : <span class="id" title="keyword">Prop</span> :=<br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#611abc97cba304de784fa909dbdea1fa"><span class="id" title="notation">¬</span></a><a class="idref" href="compcert.common.Memtype.html#Mem.perm"><span class="id" title="method">Mem.perm</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Memtype.html#Max"><span class="id" title="constructor">Max</span></a> <a class="idref" href="compcert.common.Memtype.html#Nonempty"><span class="id" title="constructor">Nonempty</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="loc_not_writable"><span class="id" title="definition">loc_not_writable</span></a> (<span class="id" title="var">m</span>: <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODEL.mem"><span class="id" title="variable">mem</span></a>) (<span class="id" title="var">b</span>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a>) (<span class="id" title="var">ofs</span>: <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>) : <span class="id" title="keyword">Prop</span> :=<br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#611abc97cba304de784fa909dbdea1fa"><span class="id" title="notation">¬</span></a><a class="idref" href="compcert.common.Memtype.html#Mem.perm"><span class="id" title="method">Mem.perm</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="compcert.common.Memtype.html#Max"><span class="id" title="constructor">Max</span></a> <a class="idref" href="compcert.common.Memtype.html#Writable"><span class="id" title="constructor">Writable</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="loc_unmapped"><span class="id" title="definition">loc_unmapped</span></a> (<span class="id" title="var">f</span>: <a class="idref" href="compcert.common.Values.html#meminj"><span class="id" title="abbreviation">meminj</span></a>) (<span class="id" title="var">b</span>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a>) (<span class="id" title="var">ofs</span>: <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>): <span class="id" title="keyword">Prop</span> :=<br/>
<a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#None"><span class="id" title="constructor">None</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="loc_out_of_reach"><span class="id" title="definition">loc_out_of_reach</span></a> (<span class="id" title="var">f</span>: <a class="idref" href="compcert.common.Values.html#meminj"><span class="id" title="abbreviation">meminj</span></a>) (<span class="id" title="var">m</span>: <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODEL.mem"><span class="id" title="variable">mem</span></a>) (<span class="id" title="var">b</span>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a>) (<span class="id" title="var">ofs</span>: <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>): <span class="id" title="keyword">Prop</span> :=<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">b0</span> <span class="id" title="keyword">delta</span>,<br/>
<a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b0"><span class="id" title="variable">b0</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> <span class="id" title="keyword">delta</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#611abc97cba304de784fa909dbdea1fa"><span class="id" title="notation">¬</span></a><a class="idref" href="compcert.common.Memtype.html#Mem.perm"><span class="id" title="method">Mem.perm</span></a> <a class="idref" href="compcert.common.Events.html#m"><span class="id" title="variable">m</span></a> <a class="idref" href="compcert.common.Events.html#b0"><span class="id" title="variable">b0</span></a> (<a class="idref" href="compcert.common.Events.html#ofs"><span class="id" title="variable">ofs</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.ZArith.BinInt.html#239a40728d107295b3cb2c790f57f9e9"><span class="id" title="notation">-</span></a> <span class="id" title="keyword">delta</span>) <a class="idref" href="compcert.common.Memtype.html#Max"><span class="id" title="constructor">Max</span></a> <a class="idref" href="compcert.common.Memtype.html#Nonempty"><span class="id" title="constructor">Nonempty</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="inject_separated"><span class="id" title="definition">inject_separated</span></a> (<span class="id" title="var">f</span> <span class="id" title="var">f'</span>: <a class="idref" href="compcert.common.Values.html#meminj"><span class="id" title="abbreviation">meminj</span></a>) (<span class="id" title="var">m1</span> <span class="id" title="var">m2</span>: <a class="idref" href="compcert.common.Events.html#WITHMEMORYMODEL.mem"><span class="id" title="variable">mem</span></a>): <span class="id" title="keyword">Prop</span> :=<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">b1</span> <span class="id" title="var">b2</span> <span class="id" title="keyword">delta</span>,<br/>
<a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#None"><span class="id" title="constructor">None</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#f'"><span class="id" title="variable">f'</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> <span class="id" title="keyword">delta</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#611abc97cba304de784fa909dbdea1fa"><span class="id" title="notation">¬</span></a><a class="idref" href="compcert.common.Memtype.html#Mem.valid_block"><span class="id" title="definition">Mem.valid_block</span></a> <a class="idref" href="compcert.common.Events.html#m1"><span class="id" title="variable">m1</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#611abc97cba304de784fa909dbdea1fa"><span class="id" title="notation">¬</span></a><a class="idref" href="compcert.common.Memtype.html#Mem.valid_block"><span class="id" title="definition">Mem.valid_block</span></a> <a class="idref" href="compcert.common.Events.html#m2"><span class="id" title="variable">m2</span></a> <a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a>.<br/>
<br/>
<span class="id" title="keyword">Definition</span> <a name="meminj_preserves_globals'"><span class="id" title="definition">meminj_preserves_globals'</span></a> (<span class="id" title="var">ge</span>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>) (<span class="id" title="var">f</span>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#option"><span class="id" title="inductive">option</span></a> (<a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#d19c7eafd0e2d195d10df94b392087b5"><span class="id" title="notation">×</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>)) : <span class="id" title="keyword">Prop</span> :=<br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">(</span></a><span class="id" title="keyword">∀</span> <span class="id" title="var">id</span> <span class="id" title="var">b</span>, <a class="idref" href="compcert.common.Globalenvs.html#Senv.find_symbol"><span class="id" title="projection">Senv.find_symbol</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#id"><span class="id" title="variable">id</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> 0<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">∧</span></a><br/>
<a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">(</span></a><span class="id" title="keyword">∀</span> <span class="id" title="var">b1</span> <span class="id" title="var">b2</span> <span class="id" title="keyword">delta</span>, <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#Some"><span class="id" title="constructor">Some</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">(</span></a><a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">,</span></a> <span class="id" title="keyword">delta</span><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#44400027531d4bc3f586a1997dc874c0"><span class="id" title="notation">)</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#b2"><span class="id" title="variable">b2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#1c39bf18749e5cc609e83c0a0ba5a372"><span class="id" title="notation">=</span></a> <a class="idref" href="compcert.common.Globalenvs.html#Senv.block_is_volatile"><span class="id" title="projection">Senv.block_is_volatile</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#b1"><span class="id" title="variable">b1</span></a><a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d82a7d96d3659d805ffe732283716822"><span class="id" title="notation">)</span></a>.<br/>
<br/>
<span class="id" title="keyword">Lemma</span> <a name="meminj_preserves_globals'_symbols_inject"><span class="id" title="lemma">meminj_preserves_globals'_symbols_inject</span></a> (<span class="id" title="var">ge</span>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>) (<span class="id" title="var">f</span>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#option"><span class="id" title="inductive">option</span></a> (<a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#d19c7eafd0e2d195d10df94b392087b5"><span class="id" title="notation">×</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>)):<br/>
<a class="idref" href="compcert.common.Events.html#meminj_preserves_globals'"><span class="id" title="definition">meminj_preserves_globals'</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#symbols_inject"><span class="id" title="definition">symbols_inject</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a>.<br/>
<span class="id" title="keyword">Proof</span>.<br/>
<span class="id" title="tactic">unfold</span> <a class="idref" href="compcert.common.Events.html#meminj_preserves_globals'"><span class="id" title="definition">meminj_preserves_globals'</span></a>.<br/>
<span class="id" title="tactic">intros</span> (<span class="id" title="var">A</span> & <span class="id" title="var">B</span>).<br/>
<span class="id" title="tactic">repeat</span> <span class="id" title="tactic">split</span>; <span class="id" title="tactic">intros</span>.<br/>
+ <span class="id" title="tactic">simpl</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H0</span>. <span class="id" title="var">exploit</span> <span class="id" title="var">A</span>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">intros</span> <span class="id" title="var">EQ</span>; <span class="id" title="tactic">rewrite</span> <span class="id" title="var">EQ</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H</span>. <span class="id" title="tactic">auto</span>.<br/>
+ <span class="id" title="tactic">simpl</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H0</span>. <span class="id" title="var">exploit</span> <span class="id" title="var">A</span>; <span class="id" title="tactic">eauto</span>. <span class="id" title="tactic">intros</span> <span class="id" title="var">EQ</span>; <span class="id" title="tactic">rewrite</span> <span class="id" title="var">EQ</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H</span>; <span class="id" title="var">inv</span> <span class="id" title="var">H</span>. <span class="id" title="tactic">auto</span>.<br/>
+ <span class="id" title="tactic">simpl</span> <span class="id" title="keyword">in</span> <span class="id" title="var">H0</span>. <span class="id" title="tactic">∃</span> <span class="id" title="var">b1</span>; <span class="id" title="tactic">split</span>; <span class="id" title="tactic">eauto</span>.<br/>
+ <span class="id" title="tactic">eauto</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Class</span> <a name="SymbolsInject"><span class="id" title="record">SymbolsInject</span></a>: <span class="id" title="keyword">Type</span> :=<br/>
{<br/>
<a name="symbols_inject'"><span class="id" title="projection">symbols_inject'</span></a> (<span class="id" title="var">f</span>: <a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#option"><span class="id" title="inductive">option</span></a> (<a class="idref" href="compcert.common.Values.html#block"><span class="id" title="definition">block</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Datatypes.html#d19c7eafd0e2d195d10df94b392087b5"><span class="id" title="notation">×</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Numbers.BinNums.html#Z"><span class="id" title="inductive">Z</span></a>)) (<span class="id" title="var">ge1</span> <span class="id" title="var">ge2</span>: <a class="idref" href="compcert.common.Globalenvs.html#Senv.t"><span class="id" title="record">Senv.t</span></a>):<br/>
<span class="id" title="keyword">Prop</span>;<br/>
<a name="meminj_preserves_globals'_symbols_inject'"><span class="id" title="projection">meminj_preserves_globals'_symbols_inject'</span></a> <span class="id" title="var">ge</span> <span class="id" title="var">f</span>:<br/>
<a class="idref" href="compcert.common.Events.html#meminj_preserves_globals'"><span class="id" title="definition">meminj_preserves_globals'</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#symbols_inject'"><span class="id" title="method">symbols_inject'</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a>;<br/>
<a name="symbols_inject'_symbols_inject"><span class="id" title="projection">symbols_inject'_symbols_inject</span></a> <span class="id" title="var">f</span> <span class="id" title="var">ge1</span> <span class="id" title="var">ge2</span>:<br/>
<a class="idref" href="compcert.common.Events.html#symbols_inject'"><span class="id" title="method">symbols_inject'</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#symbols_inject"><span class="id" title="definition">symbols_inject</span></a> <a class="idref" href="compcert.common.Events.html#f"><span class="id" title="variable">f</span></a> <a class="idref" href="compcert.common.Events.html#ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#ge2"><span class="id" title="variable">ge2</span></a><br/>
}.<br/>
<br/>
<span class="id" title="keyword">Program Definition</span> <a name="meminj_preserves_globals'_instance"><span class="id" title="definition">meminj_preserves_globals'_instance</span></a>:<br/>
<a class="idref" href="compcert.common.Events.html#SymbolsInject"><span class="id" title="class">SymbolsInject</span></a> :=<br/>
{|<br/>
<a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">symbols_inject'</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">f</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">ge1</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">ge2</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">:=</span></a><br/>
<a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">meminj_preserves_globals'</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">ge1</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">f</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">∧</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">ge1</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">=</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">ge2</span></a><br/>
|}.<br/>
<span class="id" title="keyword">Next</span> <span class="id" title="keyword">Obligation</span>.<br/>
<span class="id" title="tactic">apply</span> <a class="idref" href="compcert.common.Events.html#meminj_preserves_globals'_symbols_inject"><span class="id" title="lemma">meminj_preserves_globals'_symbols_inject</span></a>.<br/>
<span class="id" title="tactic">assumption</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Program Definition</span> <a name="symbols_inject_instance"><span class="id" title="definition">symbols_inject_instance</span></a>:<br/>
<a class="idref" href="compcert.common.Events.html#SymbolsInject"><span class="id" title="class">SymbolsInject</span></a> :=<br/>
{|<br/>
<a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">symbols_inject'</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">:=</span></a> <a class="idref" href="compcert.common.Events.html#Build_SymbolsInject"><span class="id" title="constructor">symbols_inject</span></a><br/>
|}.<br/>
<span class="id" title="keyword">Next</span> <span class="id" title="keyword">Obligation</span>.<br/>
<span class="id" title="tactic">apply</span> <a class="idref" href="compcert.common.Events.html#meminj_preserves_globals'_symbols_inject"><span class="id" title="lemma">meminj_preserves_globals'_symbols_inject</span></a>.<br/>
<span class="id" title="tactic">assumption</span>.<br/>
<span class="id" title="keyword">Qed</span>.<br/>
<br/>
<span class="id" title="keyword">Context</span> `{<span class="id" title="var">symbols_inject'_instance</span>: <a class="idref" href="compcert.common.Events.html#SymbolsInject"><span class="id" title="class">SymbolsInject</span></a>}.<br/>
<br/>
<span class="id" title="keyword">Record</span> <a name="extcall_properties"><span class="id" title="record">extcall_properties</span></a> (<span class="id" title="var">sem</span>: <a class="idref" href="compcert.common.Events.html#extcall_sem"><span class="id" title="definition">extcall_sem</span></a>) (<span class="id" title="var">sg</span>: <a class="idref" href="compcert.common.AST.html#signature"><span class="id" title="record">signature</span></a>) : <span class="id" title="keyword">Prop</span> :=<br/>
<a name="mk_extcall_properties"><span class="id" title="constructor">mk_extcall_properties</span></a> {<br/>
<br/>
</div>
<div class="doc">
The return value of an external call must agree with its signature.
</div>
<div class="code">
<a name="ec_well_typed"><span class="id" title="projection">ec_well_typed</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ge</span> <span class="id" title="var">vargs</span> <span class="id" title="var">m1</span> <span class="id" title="var">t</span> <span class="id" title="var">vres</span> <span class="id" title="var">m2</span>,<br/>
<a class="idref" href="compcert.common.Events.html#sem"><span class="id" title="variable">sem</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#vargs"><span class="id" title="variable">vargs</span></a> <a class="idref" href="compcert.common.Events.html#m1"><span class="id" title="variable">m1</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#vres"><span class="id" title="variable">vres</span></a> <a class="idref" href="compcert.common.Events.html#m2"><span class="id" title="variable">m2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Values.html#Val.has_type"><span class="id" title="definition">Val.has_type</span></a> <a class="idref" href="compcert.common.Events.html#vres"><span class="id" title="variable">vres</span></a> (<a class="idref" href="compcert.common.AST.html#proj_sig_res"><span class="id" title="definition">proj_sig_res</span></a> <a class="idref" href="compcert.common.Events.html#sg"><span class="id" title="variable">sg</span></a>);<br/>
<br/>
</div>
<div class="doc">
The semantics is invariant under change of global environment that preserves symbols.
</div>
<div class="code">
<a name="ec_symbols_preserved"><span class="id" title="projection">ec_symbols_preserved</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ge1</span> <span class="id" title="var">ge2</span> <span class="id" title="var">vargs</span> <span class="id" title="var">m1</span> <span class="id" title="var">t</span> <span class="id" title="var">vres</span> <span class="id" title="var">m2</span>,<br/>
<a class="idref" href="compcert.common.Globalenvs.html#Senv.equiv"><span class="id" title="definition">Senv.equiv</span></a> <a class="idref" href="compcert.common.Events.html#ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#sem"><span class="id" title="variable">sem</span></a> <a class="idref" href="compcert.common.Events.html#ge1"><span class="id" title="variable">ge1</span></a> <a class="idref" href="compcert.common.Events.html#vargs"><span class="id" title="variable">vargs</span></a> <a class="idref" href="compcert.common.Events.html#m1"><span class="id" title="variable">m1</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#vres"><span class="id" title="variable">vres</span></a> <a class="idref" href="compcert.common.Events.html#m2"><span class="id" title="variable">m2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Events.html#sem"><span class="id" title="variable">sem</span></a> <a class="idref" href="compcert.common.Events.html#ge2"><span class="id" title="variable">ge2</span></a> <a class="idref" href="compcert.common.Events.html#vargs"><span class="id" title="variable">vargs</span></a> <a class="idref" href="compcert.common.Events.html#m1"><span class="id" title="variable">m1</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#vres"><span class="id" title="variable">vres</span></a> <a class="idref" href="compcert.common.Events.html#m2"><span class="id" title="variable">m2</span></a>;<br/>
<br/>
</div>
<div class="doc">
External calls cannot invalidate memory blocks. (Remember that
freeing a block does not invalidate its block identifier.)
</div>
<div class="code">
<a name="ec_valid_block"><span class="id" title="projection">ec_valid_block</span></a>:<br/>
<span class="id" title="keyword">∀</span> <span class="id" title="var">ge</span> <span class="id" title="var">vargs</span> <span class="id" title="var">m1</span> <span class="id" title="var">t</span> <span class="id" title="var">vres</span> <span class="id" title="var">m2</span> <span class="id" title="var">b</span>,<br/>
<a class="idref" href="compcert.common.Events.html#sem"><span class="id" title="variable">sem</span></a> <a class="idref" href="compcert.common.Events.html#ge"><span class="id" title="variable">ge</span></a> <a class="idref" href="compcert.common.Events.html#vargs"><span class="id" title="variable">vargs</span></a> <a class="idref" href="compcert.common.Events.html#m1"><span class="id" title="variable">m1</span></a> <a class="idref" href="compcert.common.Events.html#t"><span class="id" title="variable">t</span></a> <a class="idref" href="compcert.common.Events.html#vres"><span class="id" title="variable">vres</span></a> <a class="idref" href="compcert.common.Events.html#m2"><span class="id" title="variable">m2</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a><br/>
<a class="idref" href="compcert.common.Memtype.html#Mem.valid_block"><span class="id" title="definition">Mem.valid_block</span></a> <a class="idref" href="compcert.common.Events.html#m1"><span class="id" title="variable">m1</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a> <a class="idref" href="http://coq.inria.fr/distrib/8.6/stdlib/Coq.Init.Logic.html#d43e996736952df71ebeeae74d10a287"><span class="id" title="notation">→</span></a> <a class="idref" href="compcert.common.Memtype.html#Mem.valid_block"><span class="id" title="definition">Mem.valid_block</span></a> <a class="idref" href="compcert.common.Events.html#m2"><span class="id" title="variable">m2</span></a> <a class="idref" href="compcert.common.Events.html#b"><span class="id" title="variable">b</span></a>;<br/>
<br/>
</div>