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The complexity of propositional linear temporal logics

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Sistla, A. P., Clarke, E. M.·1985·Journal of the ACM

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.

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Metadata

Authors
Sistla, A. P., & Clarke, E. M.
Venue
Journal of the ACM
Published
1985-07
Volume
32
Issue
3
Pages
733-749
ISSN
  • 0004-5411 (ISSN-L)
  • 1557-735X
OpenAlex
W2003227046
Cited by
1,095
References
0
FWCI
9.81
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: The complexity of propositional linear temporal logics. https://app.cochat.ai/papers/10.1145/3828.3837
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Sistla, A. P., & Clarke, E. M. (1985). The complexity of propositional linear temporal logics. Journal of the ACM. https://doi.org/10.1145/3828.3837

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.