Axiomatization of intuitionistic logics defined by small frames
Matematičeskie zametki SVFU, Tome 24 (2017) no. 1, pp. 6-15
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In this paper, we study the tabular intuitionistic logics semantically characterized by the Kripke frames of the depths no greater than 3 and widths no greater than 2. The axiomatization of such basic logics is given; the lattice generated by them is constructed. Known methods make it possible, using given axiomatization, to specify the axiomatic of the remaining logics from the lattice.
Keywords:
superintuitionistic logic, Kripke frame, axiomatization of logic.
@article{SVFU_2017_24_1_a1,
author = {S. I. Bashmakov and M. I. Golovanov},
title = {Axiomatization of intuitionistic logics defined by small frames},
journal = {Matemati\v{c}eskie zametki SVFU},
pages = {6--15},
year = {2017},
volume = {24},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SVFU_2017_24_1_a1/}
}
S. I. Bashmakov; M. I. Golovanov. Axiomatization of intuitionistic logics defined by small frames. Matematičeskie zametki SVFU, Tome 24 (2017) no. 1, pp. 6-15. http://geodesic.mathdoc.fr/item/SVFU_2017_24_1_a1/