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dc.contributor.authorBashmakov, Stepan I.
dc.contributor.authorZvereva, Tatyana Yu.
dc.date.accessioned2022-11-07T14:09:16Z
dc.date.available2022-11-07T14:09:16Z
dc.date.issued2022-09-09
dc.identifier.issn0138-0680
dc.identifier.urihttp://hdl.handle.net/11089/44038
dc.description.abstractThis paper proposes a semantic description of the linear step-like temporal multi-agent logic with the universal modality \(\mathcal{LTK}.sl_U\) based on the idea of non-reflexive non-transitive nature of time. We proved a finite model property and projective unification for this logic.en
dc.language.isoen
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl
dc.relation.ispartofseriesBulletin of the Section of Logic;3en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectmulti-agent systemen
dc.subjectKripke semanticen
dc.subjectunificationen
dc.subjectmodal logicen
dc.subjectnon-transitive timeen
dc.subjectstep-likeen
dc.subjectuniversal modalityen
dc.subjectfinite model propertyen
dc.subjectp-morphismen
dc.titleUnification and Finite Model Property for Linear Step-Like Temporal Multi-Agent Logic with the Universal Modalityen
dc.typeOther
dc.page.number345-361
dc.contributor.authorAffiliationBashmakov, Stepan I. - Siberian Federal University, Department of Algebra and Mathematical Logic, 660041, Svobodny #79, Krasnoyarsk, Russiaen
dc.contributor.authorAffiliationZvereva, Tatyana Yu. - Siberian Federal University, Department of Algebra and Mathematical Logic, 660041, Svobodny #79, Krasnoyarsk, Russiaen
dc.identifier.eissn2449-836X
dc.referencesS. I. Bashmakov, Unification and inference rules in the multi-modal logic of knowledge and linear time LTK, Journal of Siberian Federal University. Mathematics & Physics, vol. 9(2) (2016), pp. 149–157, DOI: https://doi.org/10.17516/1997-1397-2016-9-2-149-157en
dc.referencesS. I. Bashmakov, Unification in linear modal logic on non-transitive time with the universal modality, Journal of Siberian Federal University. Mathematics & Physics, vol. 11(1) (2018), pp. 3–9, DOI: https://doi.org/10.17516/1997-1397-2018-11-1-3-9en
dc.referencesS. I. Bashmakov, Unification in linear multi-modal logic of knowledge and non-transitive time, [in:] Handbook of the 6th World Congress and School on Universal Logic, Vichy, France, Université Clermont Auvergne (2018), pp. 229–231, URL: https://hal-centralesupelec.archives-ouvertes.fr/hal-01812182/file/handbook-unilog2018-web_19-6-2018.pdfen
dc.referencesS. I. Bashmakov, Unification in pretabular extensions of S4, Logica Universalis, vol. 15 (2021), pp. 381–397, DOI: https://doi.org/10.1007/s11787-021-00287-0en
dc.referencesS. I. Bashmakov, A. V. Kosheleva, V. V. Rybakov, Non-unifiability in linear temporal logic of knowledge with multi-agent relations, Siberian Electronic Mathematical Reports, vol. 13 (2016), pp. 656–663, DOI: https://doi.org/10.17377/semi.2016.13.052en
dc.referencesS. I. Bashmakov, A. V. Kosheleva, V. V. Rybakov, Unification for multi-agent temporal logics with universal modality, Journal of Applied Logics — IfCoLog Journal of Logics and their Application, vol. 4(4) (2017), pp. 939–954.en
dc.referencesB. Bennett, C. Dixon, M. Fisher, U. Hustadt, E. Franconi, I. Horrocks, M. de Rijke, Combinations of Modal Logics, Artificial Intelligence Review, vol. 17 (2002), pp. 1–20, DOI: https://doi.org/10.1023/A:1015057926707en
dc.referencesS. Borgo, Quantificational modal logic with sequential Kripke semantics, Journal of Applied Non-Classical Logics, vol. 15(2) (2005), pp. 137–188, DOI: https://doi.org/10.3166/jancl.15.137-188en
dc.referencesE. Calardo, V. V. Rybakov, An axiomatisation for the multi-modal logic of knowledge and linear time LTK, Logic Journal of the IGPL, vol. 15(3) (2007), pp. 239–254, DOI: https://doi.org/10.1093/jigpal/jzm010en
dc.referencesE. Clarke, O. Grumberg, K. Hamaguchi, Another Look at LTL Model Checking, Formal Methods in System Design, vol. 10 (1997), pp. 47–71, DOI: https://doi.org/10.1023/A:1008615614281en
dc.referencesW. Dzik, Unitary unification of S5 modal logic and its extensions, Bulletin of the Section of Logic, vol. 32(1–2) (2003), pp. 19–26.en
dc.referencesS. Ghilardi, Unification through projectivity, Journal of Logic Computation, vol. 7(6) (1997), pp. 733–752, DOI: https://doi.org/10.1093/logcom/7.6.733en
dc.referencesS. Ghilardi, Unification in intuitionistic logic, Journal of Symbolic Logic, vol. 64(2) (1999), pp. 859–880, DOI: https://doi.org/10.2307/2586506en
dc.referencesV. Goranko, S. Passy, Using the universal modality: Gains and questions, Journal of Logic and Computation, vol. 2(1) (1992), pp. 5–30, DOI: https://doi.org/10.1093/logcom/2.1.5en
dc.referencesY. Liu, X. Liu, Application of Mathematics in Computer Field, [in:] Z. Xu, R. Parizi, M. Hammoudeh, O. Loyola-González (eds.), Cyber Security Intelligence and Analytics. CSIA 2020, vol. 1147 of Advances in Intelligent Systems and Computing, Springer, Cham (2020), pp. 413–419, DOI: https://doi.org/10.1007/978-3-030-43309-3_57en
dc.referencesA. N. Luk’yanchuk, V. V. Rimatskii, An axiomatization for the linear logic of knowledge and time LTKr with intransitive time relation, Siberian Mathematical Journal, vol. 54 (2013), pp. 1037–1045, DOI: https://doi.org/10.1134/S0037446613060104en
dc.referencesW. A. Pogorzelski, P. Wojtylak, Completeness theory for propositional logics, Studies in Universal Logic, Birkhäuser Basel (2008).en
dc.referencesV. V. Rybakov, An essay on unification and inference rules for modal logics, Bulletin of the Section of Logic, vol. 28 (1999), pp. 145–157.en
dc.referencesV. V. Rybakov, Best unifiers in transitive modal logics, Studia Logica, vol. 99 (2011), pp. 321–336, DOI: https://doi.org/10.1007/s11225-011-9354-yen
dc.referencesV. F. Yun, Polymodal logic of the class of inductive linear time frames, Siberian Electronic Mathematical Reports, vol. 12 (2015), pp. 421–431, DOI: https://doi.org/10.17377/semi.2015.12.035en
dc.contributor.authorEmailBashmakov, Stepan I. - krauder@mail.ru
dc.contributor.authorEmailZvereva, Tatyana Yu. - 3336259@gmail.com
dc.identifier.doi10.18778/0138-0680.2022.16
dc.relation.volume51


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