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Admissible inference rules in the linear logic of knowledge and time LTK r with intransitive time relation

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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.

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Correspondence to A. N. Luk’yanchuk.

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Original Russian Text Copyright © 2015 Luk’yanchuk A.N. and Rybakov V.V.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 3, pp. 573–593, May–June, 2015; DOI: 10.17377/smzh.2015.56.309.

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Luk’yanchuk, A.N., Rybakov, V.V. Admissible inference rules in the linear logic of knowledge and time LTK r with intransitive time relation. Sib Math J 56, 455–470 (2015). https://doi.org/10.1134/S003744661503009X

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  • DOI: https://doi.org/10.1134/S003744661503009X

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