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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 515, Pages 84–91
DOI: https://doi.org/10.31857/S2686954324010138 (Mi danma497) 		 
MATHEMATICS

Topological product of modal logics with the McKinsey axiom

A. V. Kudinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
DOI: https://doi.org/10.31857/S2686954324010138
Abstract: We consider products of modal logics in topological semantics and prove that the topological product of S4.1 and S4 is the fusion of logics S4.1 and S4 plus one extra asiom. This is an example of a topological product of logics that is greater than the fusion but less than the semiproduct of the corresponding logics. We also show that this product is decidable.
Keywords: modal logic, topological semantics, product of modal logics, McKinsey axiom.
Funding agency Grant number
Russian Science Foundation 21-11-00318
The research was supported by the Russian Science Foundation, project no. 21-11-00318.
Presented: L. D. Beklemishev
Received: 15.05.2023
Revised: 01.11.2023
Accepted: 27.11.2023
English version:
Doklady Mathematics, 2024, Volume 515, Issue 1, Pages 66–72
DOI: https://doi.org/10.1134/S1064562424701825
Bibliographic databases:
Document Type: Article
UDC: 510.643
Language: Russian
Citation: A. V. Kudinov, “Topological product of modal logics with the McKinsey axiom”, Dokl. RAN. Math. Inf. Proc. Upr., 515 (2024), 84–91; Dokl. Math., 515:1 (2024), 66–72
Citation in format AMSBIB
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\by A.~V.~Kudinov
\paper Topological product of modal logics with the McKinsey axiom
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 515
\pages 84--91
\mathnet{http://mi.mathnet.ru/danma497}
\crossref{https://doi.org/10.31857/S2686954324010138}
\elib{https://elibrary.ru/item.asp?id=67973254 }
\transl
\jour Dokl. Math.
\yr 2024
\vol 515
\issue 1
\pages 66--72
\crossref{https://doi.org/10.1134/S1064562424701825}
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