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Algebra i logika, 2008, Volume 47, Number 6, Pages 705–722 (Mi al383)  
This article is cited in 7 scientific papers (total in 7 papers)

Weak interpolation in extensions of the logics $S4$ and $K4$

A. V. Karpenko

Novosibirsk State University
Full-text PDF (215 kB) Citations (7)
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Abstract: Conditions are specified which are necessary and sufficient for a logic over $K4$ to possess the weak interpolation property. For this goal to be met, simple transitive modal algebras are described, and we establish a criterion for the class of such algebras to be amalgamable. For extensions of $K4$, the weak interpolation property is proved decidable.
Keywords: weak interpolation property, modal logic, amalgamability.
Received: 26.03.2008
English version:
Algebra and Logic, 2008, Volume 47, Issue 6, Pages 395–404
DOI: https://doi.org/10.1007/s10469-008-9035-8
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: A. V. Karpenko, “Weak interpolation in extensions of the logics $S4$ and $K4$”, Algebra Logika, 47:6 (2008), 705–722; Algebra and Logic, 47:6 (2008), 395–404
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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