An explicit basis for $WCP$-globally admissible inference rules
Algebra i logika, Tome 62 (2023) no. 2, pp. 219-246
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Inference rules are examined which are admissible immediately in all residually finite extensions of $S4$ possessing the weak cocover property. An explicit basis is found for such $WCP$-globally admissible rules. In case of tabular logics, the basis is finite, and for residually finite extensions, the independency of an explicit basis is proved.
Keywords:
Kripke frame, Kripke model, admissible inference rule, basis for admissible rules.
@article{AL_2023_62_2_a3,
author = {V. V. Rimatskii},
title = {An explicit basis for $WCP$-globally admissible inference rules},
journal = {Algebra i logika},
pages = {219--246},
publisher = {mathdoc},
volume = {62},
number = {2},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2023_62_2_a3/}
}
V. V. Rimatskii. An explicit basis for $WCP$-globally admissible inference rules. Algebra i logika, Tome 62 (2023) no. 2, pp. 219-246. http://geodesic.mathdoc.fr/item/AL_2023_62_2_a3/