The temporal logic of inductive frames with linear time
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 445-457
Cet article a éte moissonné depuis la source Math-Net.Ru
The polymodal decidable calculus in temporal language with four modalities is found which is complete with respect to the class of $Ind$-frames with linear time. It is proved that it is finite approximated by the class of finite $Ind$-frames with linear time.
Keywords:
temporal logic, Kripke frames, axiomatization, finite model property.
@article{SEMR_2010_7_a28,
author = {V. F. Yun},
title = {The temporal logic of inductive frames with linear time},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {445--457},
year = {2010},
volume = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a28/}
}
V. F. Yun. The temporal logic of inductive frames with linear time. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 445-457. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a28/
[1] V. F. Yun, “Vremennaya logika lineinykh po vremeni freimov s aksiomoi induktsii”, SEMI, 6 (2009), 312–325 | MR
[2] A. Chagrov, M. Zakharyaschev, Modal logics, Oxford Logic Guides, 35, Clarendon Press, Oxford, 1977
[3] D. Gabbay, I. Hodkinson, M. Reynolds, Temporal logic, Oxford University Press, 1994 | MR
[4] V. Rybakov, “Discrete linear temporal logic with current time point clasters, deciding algorithms”, Logic and Logic Philosophy, 17:1–2 (2008) | MR | Zbl