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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 421–431
DOI: https://doi.org/10.17377/semi.2015.12.035 (Mi semr598) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

Polymodal logic of the class of inductive linear time frames

V. F. Yunab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.17377/semi.2015.12.035
Abstract: A class of frames based on a class of $LTK$-frames is considered. The polymodal decidable calculus in modal language with three modalities is found which is complete with respect to the class of inductive nearly $LTK$-frames. It is proved that it is finite approximated by the class of finite inductive nearly $LTK$-frames.
Keywords: polymodal logic, Kripke frames, axiomatization, completeness, finite model property.
Received March 15, 2015, published July 12, 2015
Document Type: Article
UDC: 510.64
MSC: 03B44, 03B45
Language: Russian
Citation: V. F. Yun, “Polymodal logic of the class of inductive linear time frames”, Sib. Èlektron. Mat. Izv., 12 (2015), 421–431
Citation in format AMSBIB
\Bibitem{Yun15}
\by V.~F.~Yun
\paper Polymodal logic of the class of inductive linear time frames
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 421--431
\mathnet{http://mi.mathnet.ru/semr598}
\crossref{https://doi.org/10.17377/semi.2015.12.035}
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