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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 3, Pages 573–593
DOI: https://doi.org/10.17377/smzh.2015.56.309 (Mi smj2661) 		 
Admissible inference rules in the linear logic of knowledge and time $LTK_r$ with intransitive time relation

A. N. Luk'yanchuka, V. V. Rybakovab

a Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia
b School of Computing, Mathematics and DT, Manchester Metropolitan University, John Dalton Building, Chester Street, Manchester, M1 5GD, UK
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DOI: https://doi.org/10.17377/smzh.2015.56.309
Abstract: We obtain a necessary condition and a sufficient condition for the admissibility of inference rules of the linear multi-modal logic of knowledge and time $LTK_r$ with reflexive and intransitive time relation. We also construct a special $n$-characterizing model for this logic.
Keywords: multi-modal logic, temporal logic, epistemic logic, $n$-characterizing model, admissibility of inference rules.
Received: 02.09.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 3, Pages 455–470
DOI: https://doi.org/10.1134/S003744661503009X
Bibliographic databases:
Document Type: Article
UDC: 510.665
Language: Russian
Citation: A. N. Luk'yanchuk, V. V. Rybakov, “Admissible inference rules in the linear logic of knowledge and time $LTK_r$ with intransitive time relation”, Sibirsk. Mat. Zh., 56:3 (2015), 573–593; Siberian Math. J., 56:3 (2015), 455–470
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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