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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 2, Pages 344–359
DOI: https://doi.org/10.33048/smzh.2022.63.207 (Mi smj7661) 		 
Algorithms for recognizing restricted interpolation over the modal logic S4

L. L. Maksimova, V. F. Yun

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2022.63.207
Abstract: We consider the restricted interpolation property IPR in modal logics. Earlier, the decidability of IPR over the modal logic S4 was proved and a finite list was found that contains all logics that can possess IPR over S4. However, this list contains some undue logics. The present article gives examples of the logics.
Keywords: modal logic, interpolation, decidability, recognizability, nonclassical logics, amalgamation, characteristic formulas.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0011
The work was carried out in the framework of FWNF–2022–0011.
Received: 05.06.2021
Revised: 18.11.2021
Accepted: 10.12.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 2, Pages 286–298
DOI: https://doi.org/10.1134/S0037446622020070
Document Type: Article
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “Algorithms for recognizing restricted interpolation over the modal logic S4”, Sibirsk. Mat. Zh., 63:2 (2022), 344–359; Siberian Math. J., 63:2 (2022), 286–298
Citation in format AMSBIB
\Bibitem{MakYun22}
\by L.~L.~Maksimova, V.~F.~Yun
\paper Algorithms for~recognizing restricted interpolation over the modal logic~S4
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 2
\pages 344--359
\mathnet{http://mi.mathnet.ru/smj7661}
\crossref{https://doi.org/10.33048/smzh.2022.63.207}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 2
\pages 286--298
\crossref{https://doi.org/10.1134/S0037446622020070}
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