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Sibirsk. Mat. Zh., 2015, Volume 56, Number 3, Pages 573–593 (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

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.

DOI: https://doi.org/10.17377/smzh.2015.56.309

Full text: PDF file (408 kB)
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English version:
Siberian Mathematical Journal, 2015, 56:3, 455–470

Bibliographic databases:

UDC: 510.665
Received: 02.09.2014

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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\paper Admissible inference rules in the linear logic of knowledge and time $LTK_r$ with intransitive time relation
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\vol 56
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\pages 573--593
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