Predicate Abstraction with Indexed Predicates

dc.creatorLahiri, Shuvendu K.
dc.creatorBryant, Randal E.
dc.date2004-07-02
dc.date.accessioned2026-07-07T03:21:31Z
dc.date.available2026-07-07T03:21:31Z
dc.descriptionPredicate abstraction provides a powerful tool for verifying properties of infinite-state systems using a combination of a decision procedure for a subset of first-order logic and symbolic methods originally developed for finite-state model checking. We consider models containing first-order state variables, where the system state includes mutable functions and predicates. Such a model can describe systems containing arbitrarily large memories, buffers, and arrays of identical processes. We describe a form of predicate abstraction that constructs a formula over a set of universally quantified variables to describe invariant properties of the first-order state variables. We provide a formal justification of the soundness of our approach and describe how it has been used to verify several hardware and software designs, including a directory-based cache coherence protocol.
dc.description27 pages, 4 figures, 1 table, short version appeared in International Conference on Verification, Model Checking and Abstract Interpretation (VMCAI'04), LNCS 2937, pages = 267--281
dc.identifierhttps://arxiv.org/abs/cs/0407006
dc.identifierhttp://arxiv.org/abs/cs/0407006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32227
dc.subjectLogic in Computer Science
dc.subjectF.3.1
dc.titlePredicate Abstraction with Indexed Predicates
dc.typetext

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