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Algebra i logika, 2005, Volume 44, Number 4, Pages 438–458 (Mi al125)  
Decidability of the Admissibility Problem for Inference Rules in Some $S5_t$-Logics

A. V. Kosheleva

Krasnoyarsk State University
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Abstract: We examine some many-modal logics extending $S5_t$, $t\in N$, for decidability w.r.t. admissibility of inference rules, and for the logics in question, we prove an algorithmic criterion determining whether the inference rules in them are admissible.
Keywords: inference rule, admissibility problem, decidability, many-modal logic.
Received: 05.08.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 4, Pages 243–255
DOI: https://doi.org/10.1007/s10469-005-0024-x
Bibliographic databases:
UDC: 510.643
Language: Russian
Citation: A. V. Kosheleva, “Decidability of the Admissibility Problem for Inference Rules in Some $S5_t$-Logics”, Algebra Logika, 44:4 (2005), 438–458; Algebra and Logic, 44:4 (2005), 243–255
Citation in format AMSBIB
\Bibitem{Kos05}
\by A.~V.~Kosheleva
\paper Decidability of the Admissibility Problem for Inference Rules in Some $S5_t$-Logics
\jour Algebra Logika
\yr 2005
\vol 44
\issue 4
\pages 438--458
\mathnet{http://mi.mathnet.ru/al125}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2188933}
\zmath{https://zbmath.org/?q=an:1106.03013}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 4
\pages 243--255
\crossref{https://doi.org/10.1007/s10469-005-0024-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-23944453865}
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    		Алгебра и логика Algebra and Logic
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