The complexity of propositional linear temporal logics

Author:

Sistla A. P.1,Clarke E. M.2

Affiliation:

1. Univ. of Massachusetts, Amherst

2. Carnegie-Mellon Univ., Pittsburgh, PA

Abstract

The complexity of satisfiability and determination of truth in a particular finite structure are considered for different propositional linear temporal logics. It is shown that these problems are NP-complete for the logic with F and are PSPACE-complete for the logics with F, X, with U, with U, S, X operators and for the extended logic with regular operators given by Wolper.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference10 articles.

1. The computational complexity of provabiiity in systems of modal propositional logic;LADNER R;SlAM J. Comput.,1977

2. the size of refutation Kripke models for some linear modal and tense logics;ONO H.;Studia Logica,1980

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