Date of Original Version

3-2004

Type

Article

Abstract or Description

There has been considerable progress in the domain of software veri fication over the last few years. This advancement has been driven, to a large extent, by the emergence of powerful yet automated abstraction techniques like predicate abstraction. However, the state space explosion problem in model checking remains the chief obstacle to the practical veri fication of real-world distributed systems. Even in the case of purely sequential programs, a crucial requirement to make predicate abstraction eff ective is to use as few predicates as possible. This is because, in the worst case, the state space of the abstraction generated (and consequently the time and memory complexity of the abstraction process) is exponential in the number of predicates involved. In addition, for concurrent programs, the number of reachable states could grow exponentially with the number of components.

We attempt to address these issues in the context of verifying concurrent (message-passing) C programs against safety specifi cations. More speci fically, we present a fully automated compositional framework which combines two orthogonal abstraction techniques (predicate abstraction for data and action-guided abstraction for events) within a counterexample-guided abstraction re finement scheme. In this way, our algorithm incrementally increases the granularity of the abstractions until the speci fication is either established or refuted. Additionally, a key feature of our approach is that if a property can be proven to hold or not hold based on a given fi nite set of predicates P, the predicate refinement procedure we propose in this article finds automatically a minimal subset of P that is sufficient for the proof. This, along with our explicit use of compositionality, delays the onset of state space explosion for as long as possible. We describe our approach in detail, and report on some very encouraging experimental results obtained with our tool magic.

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