An axiomatization for the linear logic of knowledge and time LTK (r) with intransitive time relation

Описание

Тип публикации: статья из журнала

Год издания: 2013

Идентификатор DOI: 10.1134/S0037446613060104

Ключевые слова: multimodal logic, linear temporal logic, epistemic logic, axiomatization, n-canonical model

Аннотация: We study the problem of the axiomatization of the linear multimodal logic of knowledge and time LTK (r) with reflexive intransitive time relation. The logic is defined semantically as the set of formulas true on frames of a special kind. The LTK (r) -frames are linear chains of clusters connected by a reflexive intransitive relatioПоказать полностьюn R (T) which simulates time. Elements inside a cluster are connected by several equivalence relations imitating the knowledge of different agents. The main result of the article is the proof of the fact that the finite set of formulas proposed by the authors is an axiomatization of the logic LTK (r) with reflexive intransitive time relation.

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Издание

Журнал: SIBERIAN MATHEMATICAL JOURNAL

Выпуск журнала: Vol. 54, Is. 6

Номера страниц: 1037-1045

ISSN журнала: 00374466

Место издания: NEW YORK

Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER

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