The lattice of extensions of the modal logic of two equivalence relations has the cardinality of the continuum |
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Authors: | M. M. Izmailov |
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Affiliation: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Leninskie Gory, Moscow,Russia |
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Abstract: | A continuum of different logics over S5⋇S5 is constructed. This proves that the cardinality of the lattice of all normal extensions of the logic of two equivalence relations Ext(S5⋇S5) is continuum. |
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