Computer-aided Verification of Coordinating Processes: The Automata-theoretic Approach

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Princeton University Press, 1995 - Mathematics - 270 pages

Formal verification increasingly has become recognized as an answer to the problem of how to create ever more complex control systems, which nonetheless are required to behave reliably. To be acceptable in an industrial setting, formal verification must be highly algorithmic; to cope with design complexity, it must support a top-down design methodology that leads from an abstract design to its detailed implementation. That combination of requirements points directly to the widely recognized solution of automata-theoretic verification, on account of its expressiveness, computational complexity, and perhaps general utility as well.

This book develops the theory of automata-theoretic verification from its foundations, with a focus on algorithms and heuristics to reduce the computational complexity of analysis. It is suitable as a text for a one-or two-semester graduate course, and is recommended reading for anyone planning to use a verification tool, such as COSPAN or SMV. An extensive bibliography that points to the most recent sources, and extensive discussions of methodology and comparisons with other techniques, make this a useful resource for research or verification tool development, as well.

Originally published in 1995.

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Contents

Introduction
3
Boolean Algebra
31
Lmatrix
45
Llanguage
51
String Acceptors
63
theory LautomatonLprocess
77
The SelectionResolution Model of Coordinating Processes
109
Reduction of Verification
153
Structural Induction
203
Binary Decision Diagrams
215
Copyright

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Page iii - system" typically is a hardware and/or software implementation of a control algorithm. Examples of systems subject to the type of formal verification addressed here include controllers which implement communication protocols, cache coherency protocols and telephone switches. However, for our purposes, a system may as well be a subcircuit which implements an adder, a state machine implementing a lexical parser, a game such as nim, or a discrete-event economic model. The real-time behavior of systems...

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