file.pdf (166.23 kB)

Constructing Quantified Invariants via Predicate Abstraction

Download (166.23 kB)
journal contribution
posted on 01.01.1976 by Shuvendu K. Lahiri, Randal E. Bryant
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 where the system state contains mutable function and predicate state variables. 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 function 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 with unbounded FIFO channels.

History

Publisher Statement

All Rights Reserved

Date

01/01/1976

Exports

Exports