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Algebra i logika, 2012, Volume 51, Number 2, Pages 197–215 (Mi al530)  
This article is cited in 3 scientific papers (total in 3 papers)

Interpolation in weakly transitive modal logics

A. V. Karpenko

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (229 kB) Citations (3)
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Abstract: We construct an axiomatization of 16 extensions of the logic $DL$ possessing the deductive interpolation property (IPD). It is proved that the weak interpolation property (WIP) is decidable in weakly transitive modal logics. Likewise, the weak amalgamation property is proved decidable for varieties of weakly transitive modal algebras.
Keywords: weakly transitive modal logics, $DL$-logics, decidability, axiomatization, interpolation property, amalgamability.
Received: 12.03.2011
English version:
Algebra and Logic, 2012, Volume 51, Issue 2, Pages 131–143
DOI: https://doi.org/10.1007/s10469-012-9177-6
Bibliographic databases:
Document Type: Article
UDC: 510.643+512.57
Language: Russian
Citation: A. V. Karpenko, “Interpolation in weakly transitive modal logics”, Algebra Logika, 51:2 (2012), 197–215; Algebra and Logic, 51:2 (2012), 131–143
Citation in format AMSBIB
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    • This publication is cited in the following 3 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:52
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