Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2011), pp. 46-48
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M. M. Izmailov. The lattice of extensions of the modal logic of two equivalence relations has the cardinality of the continuum. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2011), pp. 46-48. http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a7/
@article{VMUMM_2011_4_a7,
author = {M. M. Izmailov},
title = {The lattice of extensions of the modal logic of two equivalence relations has the cardinality of the continuum},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {46--48},
year = {2011},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a7/}
}
TY - JOUR
AU - M. M. Izmailov
TI - The lattice of extensions of the modal logic of two equivalence relations has the cardinality of the continuum
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 46
EP - 48
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a7/
LA - ru
ID - VMUMM_2011_4_a7
ER -
%0 Journal Article
%A M. M. Izmailov
%T The lattice of extensions of the modal logic of two equivalence relations has the cardinality of the continuum
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 46-48
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_4_a7/
%G ru
%F VMUMM_2011_4_a7
A continuum of different modal logics over $S5 \otimes S5$ is constructed in the paper, which proves that the capacity of the lattice of all normal extensions of the logic of two equivalence relations $\operatorname{Ext}(S5\otimes S5)$ is a continuum.
