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Algebra i logika, 2007, Volume 46, Number 5, Pages 627–648 (Mi al318)  

This article is cited in 19 scientific papers (total in 19 papers)

A method of proving interpolation in paraconsistent extensions of the minimal logic

L. L. Maksimova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: The interpolation property in extensions of Johansson's minimal logic is investigated. The construction of a matched product of models is proposed, which allows us to prove the interpolation property in a number of known extensions of the minimal logic. It is shown that, unlike superintuitionistic, positive, and negative logics, a sum of $\mathrm J$-logics with the interpolation property CIP may fail to possess CIP, nor even the restricted interpolation property.
Keywords: interpolation property, paraconsistent extension, Johansson's minimal logic.
Received: 02.06.2005
English version:
Algebra and Logic, 2007, Volume 46, Issue 5, Pages 341–353
DOI: https://doi.org/10.1007/s10469-007-0034-y
Bibliographic databases:
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, “A method of proving interpolation in paraconsistent extensions of the minimal logic”, Algebra Logika, 46:5 (2007), 627–648; Algebra and Logic, 46:5 (2007), 341–353
Citation in format AMSBIB
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\paper A~method of proving interpolation in paraconsistent extensions of the minimal logic
\jour Algebra Logika
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\pages 627--648
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\issue 5
\pages 341--353
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  • https://www.mathnet.ru/eng/al318
  • https://www.mathnet.ru/eng/al/v46/i5/p627
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    References:56
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