Geodesic
The temporal logic of inductive frames with linear time
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 445-457

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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},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a28/}
}
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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/