Separation Logic for Small-step Cminor (extended version)

Abstract : Cminor is a mid-level imperative programming language (just below C), and there exist proved-correct optimizing compilers from C to Cminor and from Cminor to machine language. We have redesigned Cminor so that it is suitable for Hoare Logic reasoning, we have designed a Separation Logic for Cminor, we have given a small-step operational semantics so that extensions to concurrent Cminor will be possible, and we have a machine-checked proof of soundness of our Separation Logic. This is the first large-scale machine-checked proof of a Separation Logic w.r.t. a small-step semantics, or for a language with nontrivial reducible control-flow constructs. Our sequential soundness proof of the sequential Separation Logic for the sequential language features will be reusable change within a soundness proof of Concurrent Separation Logic w.r.t. Concurrent Cminor. In addition, we have a machine-checked proof of the relation between our small-step semantics and Leroy's original big-step semantics; thus sequential programs can be compiled by Leroy's compiler with formal end-to-end correctness guarantees.
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https://hal.inria.fr/inria-00134699
Contributor : Sandrine Blazy <>
Submitted on : Thursday, August 30, 2007 - 3:38:32 PM
Last modification on : Saturday, February 9, 2019 - 1:23:33 AM
Long-term archiving on : Friday, September 24, 2010 - 12:06:29 PM

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Andrew W. Appel, Sandrine Blazy. Separation Logic for Small-step Cminor (extended version). [Research Report] RR-6138, INRIA. 2007, pp.34. ⟨inria-00134699v5⟩

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