Automata-Theoretic Techniques for Modal Logics of Programs

[en] We present a new technique for obtaining decision procedures for modal logics of programs. The technique centers around a new class of finite automata on infinite trees for which the emptiness problem can be solved in polynomial time. The decision procedures then consist of constructing an automaton Af, for a given formula f, such that Af, accepts some tree if and only if f is satisfiable. We illustrate our technique by giving exponential decision procedures for several variants of deterministic propositional dynamic logic.

Disciplines :

Computer science

Author, co-author :

Vardi, Moshe Y

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

Language :

English

Title :

Automata-Theoretic Techniques for Modal Logics of Programs

Publication date :

1986

Journal title :

Journal of Computer and System Sciences

ISSN :

0022-0000

eISSN :

1090-2724

Publisher :

Elsevier

Volume :

Issue :

Pages :

183-221

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 22 June 2017

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Scopus citations^®

331

Scopus citations^®
without self-citations

281

OpenCitations

255

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