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Algebra i logika, 2013, Volume 52, Number 3, Pages 305–331 (Mi al589)  
This article is cited in 3 scientific papers (total in 3 papers)

Composition of an intuitionistic negation and negative modalities as a necessity operator

S. A. Drobyshevichab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Full-text PDF (278 kB) Citations (3)
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Abstract: The main objective of the paper is to axiomatize operators $-\lnot$ and $-\square'$ in logics $N^*$ and $HK\square'$, respectively. The result is formulated in terms of normal extensions $HKN\square'$ and $HKNR$ of $HK\square$, which are embedded in corresponding logics via a natural translation. In addition, for the logic $HKNR$, the finite model property and decidability are established by using a hybrid calculus.
Keywords: intuitionistic negation, negative modalities, necessity operator, finite model property, decidability.
Received: 24.01.2013
Revised: 10.07.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 3, Pages 203–221
DOI: https://doi.org/10.1007/s10469-013-9235-8
Bibliographic databases:
Document Type: Article
UDC: 510.643
Language: Russian
Citation: S. A. Drobyshevich, “Composition of an intuitionistic negation and negative modalities as a necessity operator”, Algebra Logika, 52:3 (2013), 305–331; Algebra and Logic, 52:3 (2013), 203–221
Citation in format AMSBIB
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\by S.~A.~Drobyshevich
\paper Composition of an intuitionistic negation and negative modalities as a~necessity operator
\jour Algebra Logika
\yr 2013
\vol 52
\issue 3
\pages 305--331
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137127}
\transl
\jour Algebra and Logic
\yr 2013
\vol 52
\issue 3
\pages 203--221
\crossref{https://doi.org/10.1007/s10469-013-9235-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000325007400003}
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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:46
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