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Sib. Èlektron. Mat. Izv., 2016, Volume 13, Pages 923–929 (Mi semr724)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

Projective formulas and unification in linear discrete temporal multi-agent logics

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

Abstract: This article continues our studying the problem of unification in multi-agent logics. Based on the approach to the unificational problem through the projective formulas proposed by V. Rybakov and S. Ghilardi, in this paper we consider some linear discrete temporal logics with the agent relations. We proved the projectivity of any unifiable formula in these logics and gave an algorithm for construction the most general unifier.

Keywords: unification, modal temporal logic, passive inference rules, multi-agent relations.

DOI: https://doi.org/10.17377/semi.2016.13.074

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UDC: 510.643
MSC: 03F99
Received July 30, 2016, published October 31, 2016
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Citation: S. I. Bashmakov, A. V. Kosheleva, V. Rybakov, “Projective formulas and unification in linear discrete temporal multi-agent logics”, Sib. Èlektron. Mat. Izv., 13 (2016), 923–929

Citation in format AMSBIB
\Bibitem{BasKosRyb16}
\by S.~I.~Bashmakov, A.~V.~Kosheleva, V.~Rybakov
\paper Projective formulas and unification in linear discrete temporal multi-agent logics
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 923--929
\mathnet{http://mi.mathnet.ru/semr724}
\crossref{https://doi.org/10.17377/semi.2016.13.074}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000407781100074}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014115087}


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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. Stepan I. Bashmakov, “Unification in linear modal logic on non-transitive time with the universal modality”, Zhurn. SFU. Ser. Matem. i fiz., 11:1 (2018), 3–9  mathnet  crossref
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