Unification in linear modal logic on non-transitive time with the universal modality
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 3-9
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We investigate the question of unification in the linear modal logic on non-transitive time with the universal modality. The semantic construction of logic on linear non-transitive Kripke frames is proposed, effective definability and projectivity of the unifiable formulas are proved. An algorithm for construction the most general unifier is found.
Keywords:
temporal modal logic, non-transitive Kripke frame, ground unifier, projective formulas.
Mots-clés : unification
Mots-clés : unification
@article{JSFU_2018_11_1_a0,
author = {Stepan I. Bashmakov},
title = {Unification in linear modal logic on non-transitive time with the universal modality},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {3--9},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a0/}
}
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%0 Journal Article %A Stepan I. Bashmakov %T Unification in linear modal logic on non-transitive time with the universal modality %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2018 %P 3-9 %V 11 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a0/ %G en %F JSFU_2018_11_1_a0
Stepan I. Bashmakov. Unification in linear modal logic on non-transitive time with the universal modality. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/JSFU_2018_11_1_a0/