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Algebra i logika, 2021, Volume 60, Number 6, Pages 612–635
DOI: https://doi.org/10.33048/alglog.2021.60.607 (Mi al2690) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Modal bilattice logic and its extensions

S. O. Speranski

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (293 kB) Citations (2)
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DOI: https://doi.org/10.33048/alglog.2021.60.607
Abstract: We consider the lattices of extensions of three logics: (1) modal bilattice logic; (2) full Belnap–Dunn bimodal logic; (3) classical bimodal logic. It is proved that these lattices are isomorphic to each other. Furthermore, the isomorphisms constructed preserve various nice properties, such as tabularity, pretabularity, decidability or Craig's interpolation property.
Keywords: many-valued modal logic, strong negation, first-degree entailment, algebraic logic.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1614
This work was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation, agreement No. 075-15-2019-1614.
Received: 01.09.2021
Revised: 08.04.2022
English version:
Algebra and Logic, 2022, Volume 60, Issue 6, Pages 407–424
DOI: https://doi.org/10.1007/s10469-022-09667-x
Bibliographic databases:
Document Type: Article
UDC: 510.643
Language: Russian
Citation: S. O. Speranski, “Modal bilattice logic and its extensions”, Algebra Logika, 60:6 (2021), 612–635; Algebra and Logic, 60:6 (2022), 407–424
Citation in format AMSBIB
\Bibitem{Spe21}
\by S.~O.~Speranski
\paper Modal bilattice logic and its extensions
\jour Algebra Logika
\yr 2021
\vol 60
\issue 6
\pages 612--635
\mathnet{http://mi.mathnet.ru/al2690}
\crossref{https://doi.org/10.33048/alglog.2021.60.607}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4443287}
\transl
\jour Algebra and Logic
\yr 2022
\vol 60
\issue 6
\pages 407--424
\crossref{https://doi.org/10.1007/s10469-022-09667-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85128905133}
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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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