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Algebra i logika, 2019, Volume 58, Number 2, Pages 210–228
DOI: https://doi.org/10.33048/alglog.2019.58.205 (Mi al891) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The interpolation problem in finite-layered pre-Heyting logics

L. L. Maksimovaab, V. F. Yunab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.33048/alglog.2019.58.205
Abstract: The interpolation problem over Johansson's minimal logic $\mathrm{ J}$ is considered. We introduce a series of Johansson algebras, which will be used to prove a number of necessary conditions for a $\mathrm{ J}$-logic to possess Craig's interpolation property $\mathrm{ (CIP)}$. As a consequence, we deduce that there exist only finitely many finite-layered pre-Heyting algebras with $\mathrm{ CIP}$.
Keywords: finite-layered pre-Heyting logic, Craig's interpolation property, Johansson algebra.
Received: 12.03.2018
Revised: 09.07.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 2, Pages 144–157
DOI: https://doi.org/10.1007/s10469-019-09533-3
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, V. F. Yun, “The interpolation problem in finite-layered pre-Heyting logics”, Algebra Logika, 58:2 (2019), 210–228; Algebra and Logic, 58:2 (2019), 144–157
Citation in format AMSBIB
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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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    		Алгебра и логика Algebra and Logic
     
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