Predicate Abstraction via Rewriting



We present a predicate abstraction and discovery procedure for proving invariants of reactive systems using a combination of theorem proving and model checking. Our method makes use of term rewriting on the definition of the target system to reduce an invariant proof of the target system to reachability analysis on a finite predicate abstraction, which can be discharged by model checking. The method affords substantial automation in invariant proofs, while preserving the expressiveness and control afforded by theorem proving. We discuss how our approach enables the two disparate techniques, theorem proving and model checking, to complement one another. We demonstrate the use of the procedure in the verification of cache coherence protocols.


Model Check Cache Line Abstract System Reachability Analysis Cache Coherence 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Computer SciencesUniversity of Texas, AustinAustinUSA

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