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

Cited by 676 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Learning to Check LTL Satisfiability and to Generate Traces via Differentiable Trace Checking;Proceedings of the 33rd ACM SIGSOFT International Symposium on Software Testing and Analysis;2024-09-11

2. Synthesizing LTL contracts from component libraries using rich counterexamples;Science of Computer Programming;2024-09

3. Goal-conflict identification based on local search and fast boundary-condition verification based on incremental satisfiability filter;Journal of Systems and Software;2024-07

4. ITG: Trace Generation via Iterative Interaction between LLM Query and Trace Checking;Proceedings of the 2024 ACM/IEEE 44th International Conference on Software Engineering: New Ideas and Emerging Results;2024-04-14

5. On the computational complexity of ethics: moral tractability for minds and machines;Artificial Intelligence Review;2024-03-31

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3