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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 2, Pages 349–357
DOI: https://doi.org/10.33048/smzh.2024.65.209
(Mi smj7859)
 

Craig's interpolation property in pretabular logics

L. L. Maksimova, V. F. Yun

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
References:
Abstract: All pretabular extensions of the minimal logic were described and the tabularity problem was solved earlier. As turned out, in total, there are seven pretabular logics over the minimal logic. It was proved that four of them have Craig's interpolation property (CIP) and two do not. In the present article, we solve the problem of CIP in the seventh logic. We prove that it has Craig's interpolation property.
Keywords: minimal logic, tabularity, pretabular logic, interpolation property.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0011
Received: 13.07.2023
Revised: 13.07.2023
Accepted: 28.01.2024
Document Type: Article
UDC: 510.6
MSC: 35R30
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “Craig's interpolation property in pretabular logics”, Sibirsk. Mat. Zh., 65:2 (2024), 349–357
Citation in format AMSBIB
\Bibitem{MakYun24}
\by L.~L.~Maksimova, V.~F.~Yun
\paper Craig's interpolation property in~pretabular logics
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 2
\pages 349--357
\mathnet{http://mi.mathnet.ru/smj7859}
\crossref{https://doi.org/10.33048/smzh.2024.65.209}
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    Сибирский математический журнал Siberian Mathematical Journal
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