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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 316–325
DOI: https://doi.org/10.33048/semi.2022.19.026 (Mi semr1502) 		 
Mathematical logic, algebra and number theory

Description of modal logics which enjoy co-cover property

V. V. Rimatskiy

Siberian Federal University, 79, Svobodny ave., Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.026
Abstract: Here we use admissible rules to determine whenever modal logic satisfies weak co-cover property. We prove that logic $\lambda$ over $S4$ satisfies such property iff the given set of rules are admissible in $\lambda$.
Keywords: modal logic, inference rule, Kripke frame and model, admissible rule.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-240005
The work is supported by RFBR and KRFN (grant 18-41-240005).
Received June 6, 2021, published June 21, 2022
Bibliographic databases:
Document Type: Article
UDC: 51.643, 517.11
MSC: 03F25, 03B35
Language: English
Citation: V. V. Rimatskiy, “Description of modal logics which enjoy co-cover property”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 316–325
Citation in format AMSBIB
\Bibitem{Rim22}
\by V.~V.~Rimatskiy
\paper Description of modal logics which enjoy co-cover property
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 316--325
\mathnet{http://mi.mathnet.ru/semr1502}
\crossref{https://doi.org/10.33048/semi.2022.19.026}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4449218}
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