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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 656–663
DOI: https://doi.org/10.17377/semi.2016.13.052 (Mi semr702) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

Non-unifiability in linear temporal logic of knowledge with multi-agent relations

S. I. Bashmakova, A. V. Koshelevab, V. Rybakovc

a Institute of mathematics and computer science, Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia
b Institute of space and informatic technologies, Siberian Federal University, Kirenskogo St. 26, ULK building, 660074, Krasnoyarsk, Russia
c Department of Computing and Mathematics, John Dalton Building, Chester Street, Manchester M1 5GD, UK
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DOI: https://doi.org/10.17377/semi.2016.13.052
Abstract: The paper is devoted to the study of the unification problem in the linear temporal logic of knowledge with multi-agent relations (denoted in the sequel as $LFPK$). This logic is based on frames (models) with time points represented by integer numbers from $Z$ and the information clusters $C^i$ for $i \in Z$ with multi-agent accessibility relations $R_i$.
The first main result is a theorem describing a criterion for formulas to be not unifiable in $LFPK$. The second one is a construction of a basis for all inference rules passive in $LFPK$.
Keywords: unification, modal temporal logic, passive inference rules.
Received April 9, 2016, published August 17, 2016
Bibliographic databases:
Document Type: Article
UDC: 510.643
MSC: 03F99
Language: English
Citation: S. I. Bashmakov, A. V. Kosheleva, V. Rybakov, “Non-unifiability in linear temporal logic of knowledge with multi-agent relations”, Sib. Èlektron. Mat. Izv., 13 (2016), 656–663
Citation in format AMSBIB
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\by S.~I.~Bashmakov, A.~V.~Kosheleva, V.~Rybakov
\paper Non-unifiability in linear temporal logic of knowledge with multi-agent relations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 656--663
\mathnet{http://mi.mathnet.ru/semr702}
\crossref{https://doi.org/10.17377/semi.2016.13.052}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014123383}
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