Unfoldings: A Partial-Order Approach to Model Checking

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Model checking is a prominent technique used in the hardware and software industries for automatic verification. While it is very successful in finding subtle bugs in distributed systems, it faces the state explosion problem - the number of reachable states grows exponentially in the number of concurrent components.

In this book the authors introduce unfoldings, an approach to model checking which alleviates the state explosion problem by means of concurrency theory. They offer a gentle introduction to the basics of the method, and in particular they detail an unfolding-based algorithm for model checking concurrent systems against properties specified as formulas of linear temporal logic (LTL). Self-contained chapters cover transition systems and their products; unfolding products; search procedures for basic verification problems, such as reachability and livelocks; and model checking LTL. The final chapter summarizes the results of the book, and points the reader to tools and case studies.

The book will be of value to researchers and graduate students engaged in automatic verification and concurrency theory.

Author(s): Javier Esparza, Keijo Heljanko
Series: Monographs in Theoretical Computer Science. An EATCS Series
Publisher: Springer
Year: 2008

Language: English
Pages: 176
Tags: Logics and Meanings of Programs; Theory of Computation; Software Engineering

Front Matter....Pages I-XII
Introduction....Pages 1-4
Transition Systems and Products....Pages 5-12
Unfolding Products....Pages 13-40
Search Procedures for the Executability Problem....Pages 41-72
More on the Executability Problem....Pages 73-96
Search Procedures for the Repeated Executability Problem....Pages 97-106
Search Procedures for the Livelock Problem....Pages 107-124
Model Checking LTL....Pages 125-149
Summary, Applications, Extensions, and Tools....Pages 151-156
Back Matter....Pages -