Title
Predicate abstraction with indexed predicates
Abstract
Predicate 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.
Year
DOI
Venue
2004
10.1145/1297658.1297662
ACM Transactions on Computational Logic (TOCL)
Keywords
DocType
Volume
cache-coherence protocols,system state,directory-based cache coherence protocol,decision procedure,invariant synthesis,abstract interpretation,first-order state variable,innite-state veri- cation,formal justification,formal verification,additional key words and phrases: formal verication,predicate abstraction,infinite-state verification,finite-state model checking,infinite-state system,identical process,first-order logic,software design,indexation,model checking
Journal
9
Issue
ISSN
Citations 
1
1529-3785
27
PageRank 
References 
Authors
1.03
29
2
Name
Order
Citations
PageRank
Shuvendu K. Lahiri1142468.18
Randal E. Bryant292041194.64