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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2009, Volume 6, Pages 312–325
(Mi semr69)
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This article is cited in 3 scientific papers (total in 3 papers)
Research papers
Temporal logic of linear time frames with inductions axiom
V. F. Yun Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
A class of frames based on a class of frames with discrete linear time with current time point clusters is considered. The temporal calculus $\mathbf{LInd}$ is found which is complete with respect to this class. It is proved that $\mathbf{LInd}$ has the finite model property and therefore it is decidable.
Keywords:
temporal logic, Kripke frames, axiomatization, finite model property.
Received June 5, 2009, published October 28, 2009
Citation:
V. F. Yun, “Temporal logic of linear time frames with inductions axiom”, Sib. Èlektron. Mat. Izv., 6 (2009), 312–325
Linking options:
https://www.mathnet.ru/eng/semr69 https://www.mathnet.ru/eng/semr/v6/p312
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