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Algebra Logika, 2011, Volume 50, Number 3, Pages 351–367 (Mi al490)  

This article is cited in 3 scientific papers (total in 3 papers)

A hybrid calculus for logic $N^*$: Residual finiteness and decidability

S. A. Drobyshevich

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Abstract: It is proved that logic $N^*$ is residually finite and decidable. A hybrid calculus for the logic is constructed based on a tabular calculus for intuitionistic logic. It is shown that the hybrid calculus is sound and complete.

Keywords: modal logic, intuitionistic logic, tabular calculus, hybrid calculus.

Full text: PDF file (194 kB)
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English version:
Algebra and Logic, 2011, 50:3, 245–256

Bibliographic databases:

UDC: 510.643
Received: 18.05.2010
Revised: 23.03.2011

Citation: S. A. Drobyshevich, “A hybrid calculus for logic $N^*$: Residual finiteness and decidability”, Algebra Logika, 50:3 (2011), 351–367; Algebra and Logic, 50:3 (2011), 245–256

Citation in format AMSBIB
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\by S.~A.~Drobyshevich
\paper A hybrid calculus for logic~$N^*$: Residual finiteness and decidability
\jour Algebra Logika
\yr 2011
\vol 50
\issue 3
\pages 351--367
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\pages 245--256
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. A. Drobyshevich, S. P. Odintsov, “Svoistvo konechnykh modelei dlya negativnykh modalnostei”, Sib. elektron. matem. izv., 10 (2013), 1–21  mathnet
    2. S. A. Drobyshevich, “A Double Negation Operator in Logic $N^*$”, J. Math. Sci., 205:3 (2015), 389–402  mathnet  crossref
    3. S. A. Drobyshevich, “Composition of an intuitionistic negation and negative modalities as a necessity operator”, Algebra and Logic, 52:3 (2013), 203–221  mathnet  crossref  mathscinet  isi
  • Алгебра и логика Algebra and Logic
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