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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 3, Pages 715–719
DOI: https://doi.org/10.17377/smzh.2015.56.320 (Mi smj2672) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the linear logic of knowledge and time with intransitive time relation

V. F. Yunab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2015.56.320
Abstract: In [1], there was introduced a linear multi-modal logic of knowledge and time with intransitive time relation as the set of formulas valid in frames of special kind. The article [2] proposed some calculus $AS_{LTK_r}$ that is connected with the class of these frames. In the present article we find a formula of the linear logic of knowledge and time which is underivable in $AS_{LTK_r}$.
Keywords: multi-modal logic, Kripke frame, axiomatization, completeness.
Received: 09.12.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 3, Pages 565–568
DOI: https://doi.org/10.1134/S0037446615030209
Bibliographic databases:
Document Type: Article
UDC: 510.64
Language: Russian
Citation: V. F. Yun, “On the linear logic of knowledge and time with intransitive time relation”, Sibirsk. Mat. Zh., 56:3 (2015), 715–719; Siberian Math. J., 56:3 (2015), 565–568
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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