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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 5, Pages 679–683 (Mi jsfu1199)  

Interval multi-agent logic with reliability operator

Vladimir R. Kiyatkin, Vladimir V. Rybakov

Siberian Federal University, Krasnoyarsk, Russian Federation
References:
Abstract: We study intransitive temporal multi-agent logic with agents' multi-valuations for formulas letters and relational models representing reliable states. This logic is defined in a semantic as a set of formulas which are true at linear models with multi-valued variables. We propose a background for such approach and a technique for computation truth values of formulas. Main results concerns solvability problem, we prove that the resulting logic is decidable.
Keywords: modal logic, temporal logic, common knowledge, deciding algorithms, multi-agent logic.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2024-1429
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2024-1429).
Received: 10.04.2024
Received in revised form: 19.05.2024
Accepted: 24.07.2024
Bibliographic databases:
Document Type: Article
UDC: 510.665; 510.643
Language: English
Citation: Vladimir R. Kiyatkin, Vladimir V. Rybakov, “Interval multi-agent logic with reliability operator”, J. Sib. Fed. Univ. Math. Phys., 17:5 (2024), 679–683
Citation in format AMSBIB
\Bibitem{KiyRyb24}
\by Vladimir~R.~Kiyatkin, Vladimir~V.~Rybakov
\paper Interval multi-agent logic with reliability operator
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 5
\pages 679--683
\mathnet{http://mi.mathnet.ru/jsfu1199}
\edn{https://elibrary.ru/WYJIOS}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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