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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 3, Pages 619–628
DOI: https://doi.org/10.33048/smzh.2021.62.313 (Mi smj7582) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Branching time logics with multiagent temporal accessibility relations

V. V. Rybakovab

a Institute of Mathematics and Informatics, Siberian Federal University, Krasnoyarsk, Russia
b A.P. Ershov Institute of Informatics Systems, Novosibirsk, Russia
Full-text PDF (411 kB) Citations (5)
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DOI: https://doi.org/10.33048/smzh.2021.62.313
Abstract: Under study are the branching time temporal logics with temporal accessibility relations for the agents different in length and content. We find an algorithm for solving the problems of satisfiability and decidability of the logic through describing finite satisfiable models of computable size (through the size of the input formulas). We remove the constraints on the size of all temporal accessibility intervals for the agents (to be all inside a common temporal accessibility interval at any local time point); i.e., all constraints can be arbitrary. Also, we formulate some open problems.
Keywords: temporal logic, multiagent logic, satisfiability problem, deciding algorithm.
Funding agency Grant number
National Research University Higher School of Economics
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1534/1
The author was supported by the Research Program at HSE University (Higher School of Economics, University, Moscow, Russia). The author was also supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Grant 075–02–2020–1534/1).
Received: 14.08.2020
Revised: 10.01.2021
Accepted: 22.01.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 3, Pages 503–510
DOI: https://doi.org/10.1134/S0037446621030137
Bibliographic databases:
Document Type: Article
UDC: 510.64+510.65+510.66
Language: Russian
Citation: V. V. Rybakov, “Branching time logics with multiagent temporal accessibility relations”, Sibirsk. Mat. Zh., 62:3 (2021), 619–628; Siberian Math. J., 62:3 (2021), 503–510
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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