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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 1, Pages 245–250
DOI: https://doi.org/10.33048/semi.2023.20.019 (Mi semr1583) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

Pretabularity and Craig's interpolation problem over the minimal logic

L. L. Maksimova, V. F. Yun

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/semi.2023.20.019
Abstract: In this paper [1] the tabularity problem was solved and all pre-tabular extensions of the minimal logic were described. In total, there turned out to be seven pre-tabular logics over the minimal logic.
In this article, we will prove that four of them have the Craig's interpolation property CIP and two do not have. The question of CIP in the seventh logic is still open.
Keywords: minimal logic, tabularity, pre-tabular logic, interpolation problem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0011
Received January 1, 2022, published March 13, 2023
Document Type: Article
UDC: 510.6
MSC: 03B45
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “Pretabularity and Craig's interpolation problem over the minimal logic”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 245–250
Citation in format AMSBIB
\Bibitem{MakYun23}
\by L.~L.~Maksimova, V.~F.~Yun
\paper Pretabularity and Craig's interpolation problem over the minimal logic
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 1
\pages 245--250
\mathnet{http://mi.mathnet.ru/semr1583}
\crossref{https://doi.org/10.33048/semi.2023.20.019}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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