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<TITLE>The Compcert verified compiler</TITLE>
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<H1 align="center">The Compcert verified compiler</H1>
<H2 align="center">Commented Coq development</H2>
<H3 align="center">Version 1.11, 2012-07-13</H3>
<H2>Introduction</H2>
<P>Compcert is a compiler that generates PowerPC, ARM and x86 assembly
code from Compcert C, a large subset of the C programming language.
The particularity of this compiler is that it is written mostly within
the specification language of the Coq proof assistant, and its
correctness --- the fact that the generated assembly code is
semantically equivalent to its source program --- was entirely proved
within the Coq proof assistant.</P>
<P>High-level descriptions of the Compcert compiler and its proof of
correctness can be found in the following papers (in increasing order of technical details):</P>
<UL>
<LI>Xavier Leroy, <A HREF="http://gallium.inria.fr/~xleroy/publi/compcert-CACM.pdf">Formal verification of a realistic compiler</A>. Communications of the ACM 52(7), July 2009.
<LI>Sandrine Blazy, Zaynah Dargaye and Xavier Leroy,
<A HREF="http://gallium.inria.fr/~xleroy/publi/cfront.pdf">Formal
verification of a C compiler front-end</A>.
Proceedings of Formal Methods 2006, LNCS 4085.
<LI>Xavier Leroy, <A HREF="http://gallium.inria.fr/~xleroy/publi/compcert-backend.pdf">A formally verified compiler back-end</A>.
Journal of Automated Reasoning 43(4):363-446, 2009.
</UL>
<P>This Web site gives a commented listing of the underlying Coq
specifications and proofs. Proof scripts are folded by default, but
can be viewed by clicking on "Proof". Some modules (written in <I>italics</I> below) differ between the three supported target architectures. The
PowerPC versions of these modules are shown below; the ARM and x86
versions can be found in the source distribution.
</P>
<P> This development is a work in progress; some parts have
substantially changed since the overview papers above were
written.</P>
<P>The complete sources for Compcert can be downloaded from
<A HREF="http://compcert.inria.fr/">the Compcert Web site</A>.</P>
<P>This document and the Compcert sources are
copyright 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Institut
National de Recherche en Informatique et en Automatique (INRIA) and
distributed under the terms of the
following <A HREF="LICENSE">license</A>.
</P>
<H2>Table of contents</H2>
<H3>General-purpose libraries, data structures and algorithms</H3>
<UL>
<LI> <A HREF="html/Coqlib.html">Coqlib</A>: addendum to the Coq standard library.
<LI> <A HREF="html/Maps.html">Maps</A>: finite maps.
<LI> <A HREF="html/Integers.html">Integers</A>: machine integers.
<LI> <A HREF="html/Floats.html">Floats</A>: machine floating-point numbers.
<LI> <A HREF="html/Iteration.html">Iteration</A>: various forms of "while" loops.
<LI> <A HREF="html/Ordered.html">Ordered</A>: construction of
ordered types.
<LI> <A HREF="html/Lattice.html">Lattice</A>: construction of
semi-lattices.
<LI> <A HREF="html/Kildall.html">Kildall</A>: resolution of dataflow
inequations by fixpoint iteration.
<LI> <A HREF="html/Parmov.html">Parmov</A>: compilation of parallel assignments.
<LI> <A HREF="html/UnionFind.html">UnionFind</A>: a persistent union-find data structure.
<LI> <A HREF="html/Postorder.html">Postorder</A>: postorder numbering of a directed graph.
</UL>
<H3>Definitions and theorems used in many parts of the development</H3>
<UL>
<LI> <A HREF="html/Errors.html">Errors</A>: the Error monad.
<LI> <A HREF="html/AST.html">AST</A>: identifiers, whole programs and other
common elements of abstract syntaxes.
<LI> <A HREF="html/Values.html">Values</A>: run-time values.
<LI> <A HREF="html/Events.html">Events</A>: observable events and traces.
<LI> <A HREF="html/Memtype.html">Memtype</A>: memory model (interface). <BR>
See also: <A HREF="html/Memory.html">Memory</A> (implementation of the memory model). <BR>
See also: <A HREF="html/Memdata.html">Memdata</A> (in-memory representation of data).
<LI> <A HREF="html/Globalenvs.html">Globalenvs</A>: global execution environments.
<LI> <A HREF="html/Smallstep.html">Smallstep</A>: tools for small-step semantics.
<LI> <A HREF="html/Behaviors.html">Behaviors</A>: from small-step semantics to observable behaviors of programs.
<LI> <A HREF="html/Determinism.html">Determinism</A>: determinism properties of small-step semantics.
<LI> <A HREF="html/Op.html"><I>Op</I></A>: operators, addressing modes and their
semantics.
</UL>
<H3>Source, intermediate and target languages: syntax and semantics</H3>
<UL>
<LI> The Compcert C source language:
<A HREF="html/Csyntax.html">syntax</A> and
<A HREF="html/Csem.html">semantics</A> and
<A HREF="html/Cstrategy.html">determinized semantics</A>.<BR>
See also: <A HREF="html/Ctypes.html">type expressions</A> and
<A HREF="html/Cop.html">operators (syntax and semantics)</A> and
<A HREF="html/Cexec.html">reference interpreter</A>.
<LI> <A HREF="html/Clight.html">Clight</A>: a simpler version of CompCert C where expressions contain no side-effects.
<A HREF="html/Cop.html">operators (syntax and semantics)</A>.
<LI> <A HREF="html/Csharpminor.html">Csharpminor</A>: low-level
structured language.
<LI> <A HREF="html/Cminor.html">Cminor</A>: low-level structured
language, with explicit stack allocation of certain local variables.
<LI> <A HREF="html/CminorSel.html">CminorSel</A>: like Cminor,
with machine-specific operators and addressing modes.
<LI> <A HREF="html/RTL.html">RTL</A>: register transfer language (3-address
code, control-flow graph, infinitely many pseudo-registers). <BR>
See also: <A HREF="html/Registers.html">Registers</A> (representation of
pseudo-registers).
<LI> <A HREF="html/LTL.html">LTL</A>: location transfer language (3-address
code, control-flow graph, finitely many physical registers, infinitely
many stack slots). <BR>
See also: <A HREF="html/Locations.html">Locations</A> (representation of
locations) and <A HREF="html/Machregs.html"><I>Machregs</I></A> (description of processor registers).
<LI> <A HREF="html/LTLin.html">LTLin</A>: like LTL, but the CFG is
replaced by a linear list of instructions with explicit branches and labels.
<LI> <A HREF="html/Linear.html">Linear</A>: like LTLin, with explicit
spilling, reloading and enforcement of calling conventions.
<LI> <A HREF="html/Mach.html">Mach</A>: like Linear, with a more concrete
view of the activation record. <BR>
See also: <A HREF="html/Machsem.html">Machsem</A> operational semantics for Mach. <BR>
<LI> <A HREF="html/Asm.html"><I>Asm</I></A>: abstract syntax for PowerPC assembly
code.
</UL>
<H3>Compiler passes</H3>
<TABLE cellpadding="5%">
<TR valign="top">
<TH>Pass</TH>
<TH>Source & target</TH>
<TH>Compiler code</TH>
<TH>Correctness proof</TH>
</TR>
<TR valign="top">
<TD>Pulling side-effects out of expressions;<br>
fixing an evaluation order</TD>
<TD>Compcert C to Clight</TD>
<TD><A HREF="html/SimplExpr.html">SimplExpr</A></TD>
<TD><A HREF="html/SimplExprspec.html">SimplExprspec</A><br>
<A HREF="html/SimplExprproof.html">SimplExprproof</A></TD>
</TR>
<TR valign="top">
<TD>Simplification of control structures; <br>
explication of type-dependent computations</TD>
<TD>Clight to Csharpminor</TD>
<TD><A HREF="html/Cshmgen.html">Cshmgen</A></TD>
<TD><A HREF="html/Cshmgenproof.html">Cshmgenproof</A></TD>
</TR>
<TR valign="top">
<TD>Stack allocation of local variables<br>
whose address is taken;<br>
simplification of switch statements</TD>
<TD>Csharpminor to Cminor</TD>
<TD><A HREF="html/Cminorgen.html">Cminorgen</A></TD>
<TD><A HREF="html/Cminorgenproof.html">Cminorgenproof</A></TD>
</TR>
<TR valign="top">
<TD>Recognition of operators<br>and addressing modes</TD>
<TD>Cminor to CminorSel</TD>
<TD><A HREF="html/Selection.html">Selection</A><br>
<A HREF="html/SelectOp.html"><I>SelectOp</I></A></TD>
<TD><A HREF="html/Selectionproof.html">Selectionproof</A><br>
<A HREF="html/SelectOpproof.html"><I>SelectOpproof</I></A></TD>
</TR>
<TR valign="top">
<TD>Construction of the CFG, <br>3-address code generation</TD>
<TD>CminorSel to RTL</TD>
<TD><A HREF="html/RTLgen.html">RTLgen</A></TD>
<TD><A HREF="html/RTLgenspec.html">RTLgenspec</A><BR>
<A HREF="html/RTLgenproof.html">RTLgenproof</A></TD>
</TR>
<TR valign="top">
<TD>Recognition of tail calls</TD>
<TD>RTL to RTL</TD>
<TD><A HREF="html/Tailcall.html">Tailcall</A></TD>
<TD><A HREF="html/Tailcallproof.html">Tailcallproof</A></TD>
</TR>
<TR valign="top">
<TD>Function inlining</TD>
<TD>RTL to RTL</TD>
<TD><A HREF="html/Inlining.html">Inlining</A></TD>
<TD><A HREF="html/Inliningspec.html">Inliningspec</A><BR>
<A HREF="html/Inliningproof.html">Inliningproof</A></TD>
</TR>
<TR valign="top">
<TD>Postorder renumbering of the CFG</TD>
<TD>RTL to RTL</TD>
<TD><A HREF="html/Renumber.html">Renumber</A></TD>
<TD><A HREF="html/Renumberproof.html">Renumberproof</A></TD>
</TR>
<TR valign="top">
<TD>Constant propagation</TD>
<TD>RTL to RTL</TD>
<TD><A HREF="html/Constprop.html">Constprop</A><br>
<A HREF="html/ConstpropOp.html"><I>ConstpropOp</I></A></TD>
<TD><A HREF="html/Constpropproof.html">Constpropproof</A><br>
<A HREF="html/ConstpropOpproof.html"><I>ConstproppOproof</I></A></TD>
</TR>
<TR valign="top">
<TD>Common subexpression elimination</TD>
<TD>RTL to RTL</TD>
<TD><A HREF="html/CSE.html">CSE</A><BR>
<A HREF="html/CombineOp.html"><I>CombineOp</I></A></TD>
<TD><A HREF="html/CSEproof.html">CSEproof</A><BR>
<A HREF="html/CombineOpproof.html"><I>CombineOpproof</I></A></TD>
</TR>
<TR valign="top">
<TD>Register allocation by coloring<br>of an interference graph</TD>
<TD>RTL to LTL</TD>
<TD><A HREF="html/InterfGraph.html">InterfGraph</A><BR>
<A HREF="html/Coloring.html">Coloring</A><BR>
<A HREF="html/Allocation.html">Allocation</A></TD>
<TD><BR>
<A HREF="html/Coloringproof.html">Coloringproof</A><BR>
<A HREF="html/Allocproof.html">Allocproof</A></TD>
</TR>
<TR valign="top">
<TD>Branch tunneling</TD>
<TD>LTL to LTL</TD>
<TD><A HREF="html/Tunneling.html">Tunneling</A></TD>
<TD><A HREF="html/Tunnelingproof.html">Tunnelingproof</A></TD>
</TR>
<TR valign="top">
<TD>Linearization of the CFG</TD>
<TD>LTL to LTLin</TD>
<TD><A HREF="html/Linearize.html">Linearize</A></TD>
<TD><A HREF="html/Linearizeproof.html">Linearizeproof</A></TD>
</TR>
<TR valign="top">
<TD>Removal of unreferenced labels</TD>
<TD>LTLin to LTLin</TD>
<TD><A HREF="html/CleanupLabels.html">CleanupLabels</A></TD>
<TD><A HREF="html/CleanupLabelsproof.html">CleanupLabelsproof</A></TD>
</TR>
<TR valign="top">
<TD>Spilling, reloading, calling conventions</TD>
<TD>LTLin to Linear</TD>
<TD><A HREF="html/Reload.html">Reload</A><BR>
<A HREF="html/Conventions.html">Conventions</A><BR>
<A HREF="html/Conventions1.html"><I>Conventions1</I></A><BR></TD>
<TD><A HREF="html/Parallelmove.html">Parallelmove</A><BR>
<A HREF="html/Reloadproof.html">Reloadproof</A></TD>
</TR>
<TR valign="top">
<TD>Redundant reload elimination</TD>
<TD>Linear to Linear</TD>
<TD><A HREF="html/RRE.html">RRE</A></TD>
<TD><A HREF="html/RREproof.html">RREproof</A></TD>
</TR>
<TR valign="top">
<TD>Laying out the activation records</TD>
<TD>Linear to Mach</TD>
<TD><A HREF="html/Stacking.html">Stacking</A><BR>
<A HREF="html/Bounds.html">Bounds</A><BR>
<A HREF="html/Stacklayout.html"><I>Stacklayout</I></A></TD>
<TD><A HREF="html/Stackingproof.html">Stackingproof</A><BR>
<A HREF="html/Asmgenretaddr.html"><I>Asmgenretaddr</I></A></TD>
</TR>
<TR valign="top">
<TD>Emission of assembly code</TD>
<TD>Mach to Asm</TD>
<TD><A HREF="html/Asmgen.html"><I>Asmgen</I></A></TD>
<TD><A HREF="html/Asmgenproof1.html"><I>Asmgenproof1</I></A><BR>
<A HREF="html/Asmgenproof.html"><I>Asmgenproof</I></A></TD>
</TR>
</TABLE>
<H3>Type systems</H3>
Trivial type systems are used to statically capture well-formedness
conditions on the source and intermediate languages.
<UL>
<LI> <A HREF="html/RTLtyping.html">RTLtyping</A>: typing for RTL + type
reconstruction.
<LI> <A HREF="html/LTLtyping.html">LTLtyping</A>: typing for LTL.
<LI> <A HREF="html/LTLintyping.html">LTLintyping</A>: typing for LTLin.
<LI> <A HREF="html/Lineartyping.html">Lineartyping</A>: typing for Linear.
<LI> <A HREF="html/Machtyping.html">Machtyping</A>: typing for Mach.
</UL>
Proofs that compiler passes are type-preserving:
<UL>
<LI> <A HREF="html/Alloctyping.html">Alloctyping</A> (register allocation).
<LI> <A HREF="html/Tunnelingtyping.html">Tunnelingtyping</A> (branch tunneling).
<LI> <A HREF="html/Linearizetyping.html">Linearizetyping</A> (code linearization).
<LI> <A HREF="html/CleanupLabelstyping.html">CleanupLabelstyping</A> (removal of unreferenced labels).
<LI> <A HREF="html/Reloadtyping.html">Reloadtyping</A> (spilling and reloading).
<LI> <A HREF="html/RREtyping.html">RREtyping</A> (redundant reload elimination).
<LI> <A HREF="html/Stackingtyping.html">Stackingtyping</A> (layout of activation records).
</UL>
<H3>All together</H3>
<UL>
<LI> <A HREF="html/Compiler.html">Compiler</A>: composing the passes together;
whole-compiler semantic preservation theorems.
<LI> <A HREF="html/Complements.html">Complements</A>: interesting consequences of the semantic preservation theorems.
</UL>
<HR>
<ADDRESS>Xavier.Leroy@inria.fr</ADDRESS>
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