An automata-theoretic approach to branching-time model checking

© ACM, 2000 This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in Journal of the ACM (JACM) Volume 47 , Issue 2 (March 2000), http://doi.acm.org/10.1145/333979.333987

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Keywords :

Finite automata; Temporal logic; model checking

Abstract :

[en] Translating linear temporal logic formulas to automata has proven to be an effective approach for implementing linear-time model-checking, and for obtaining many extensions and improvements to this verification method. On the other hand, for branching temporal logic, automate-theoretic techniques have long been thought to introduce an exponential penalty, making them essentially useless for model-checking. Recently, Bernholtz and Grumberg [1993] have shown that this exponential penalty can be avoided, though they did not match the linear complexity of non-automata-theoretic algorithms. In this paper, we show that alternating tree automata are the key to a comprehensive automata-theoretic framework for branching temporal logics. Not only can they be used to obtain optimal decision procedures, as was shown by Muller ct al., but, as we show here, they also make it possible to derive optimal model-checking algorithms. Moreover, the simple combinatorial structure that emerges from the automata-theoretic approach opens up new possibilities for the implementation of branching-time model checking, and has enabled us to derive improved space complexity bounds for this long-standing problem.

Disciplines :

Computer science

Author, co-author :

Kupferman, Orna; Hebrew University of Jerusalem > Computer Science department

Vardi, Moshe Y; Rice University > Computer Science departement

Wolper, Pierre ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Informatique (parallélisme et banques de données)

Language :

English

Title :

An automata-theoretic approach to branching-time model checking

Publication date :

2000

Journal title :

Journal of the ACM

ISSN :

0004-5411

Publisher :

Association for Computing Machinery, New York, United States

Volume :

Issue :

Pages :

312-360

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 01 December 2009

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408

Scopus citations^®
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329

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292

OpenAlex citations

622

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