An Algebra for Control Flow Analysis and Decompilation

Mark <federation2005@netzero.com>
Mon, 16 Jul 2012 18:00:33 -0700 (PDT)

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Related articles
The Magic Algebra -- The Algebraic Approach to Control Flow Analysis markwh04@yahoo.com (Rock Brentwood) (2009-01-12)
An Algebra for Control Flow Analysis and Decompilation federation2005@netzero.com (Mark) (2012-07-16)
Re: An Algebra for Control Flow Analysis and Decompilation federation2005@netzero.com (2012-07-20)
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From: Mark <federation2005@netzero.com>
Newsgroups: comp.compilers
Date: Mon, 16 Jul 2012 18:00:33 -0700 (PDT)
Organization: Compilers Central
References: <09-01-026@comp.compilers:
Keywords: theory, analysis
Posted-Date: 16 Jul 2012 22:58:03 EDT

This is a follow-up to an article I posted here (2009 Jan 12) titled
"The Magic Algebra -- The Algebraic Approach to Control Flow
Analysis".


http://compilers.iecc.com/comparch/article/09-01-026


I put a PDF version (with a few minor updates and corrections) on
DocStoc under "An Algebra for Control Flow Analysis"


http://www.docstoc.com/docs/124399972/An-Algebra-for-Control-Flow-Analysis


A few notes of commentary following up on the earlier discussion: the
analysis this discusses was originally carried out as part of a
project (a "legacy code rescue") I was carrying out in 2000.


The key part of the process was the DE-compilation from binary into
high-level language code. A critical ingredient in this process just
happens to be the same that appears in any translation process: the
control flow analysis of the objects in the program and their usage.


The algebra is derived from first principles through an infinitary
form of the lambda calculus and leads to some non-trivial and even
counter-intuitive identities and relations.


(The company, itself, went defunct in 2011, apparently a victim of a
hostile takeover, but was resurrected later in 2011)

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