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This article is cited in 8 scientific papers (total in 8 papers)
Definability in Normal Extensions of S4
L. L. Maksimova Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
A projective Beth property, PB2, in normal modal logics extending S4 is studied. A convenient criterion is furnished for PB2 to be valid in a larger family of extensions of K4. All locally tabular extensions of the Grzegorczyk logic with PB2 are described. Superintuitionistic logics with the projective Beth property that have no modal companions with this property are found.
Keywords:
modal logic, Grzegorczyk logic, superintuitionistic logic, locally tabular extension, projective Beth property.
Received: 16.04.2003
Citation:
L. L. Maksimova, “Definability in Normal Extensions of S4”, Algebra Logika, 43:4 (2004), 387–410; Algebra and Logic, 43:4 (2004), 217–229
Linking options:
https://www.mathnet.ru/eng/al79 https://www.mathnet.ru/eng/al/v43/i4/p387
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Abstract page: | 388 | Full-text PDF : | 267 | References: | 87 | First page: | 1 |
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