Constructive Classifications of Modal Logics and Extensions of Minimal Logic

L. L. Maksimova

doi:10.1007/s10469-020-09572-1

Constructive Classifications of Modal Logics and Extensions of Minimal Logic

L. L. Maksimova

Section of Algebra and Mathematical Logic

Research output: Contribution to journal › Article › peer-review

Abstract

Classifications of logics over Johansson’s minimal logic J and modal logics are considered. The paper contains a partial review of the results obtained after 2010. It is known that there is a duality between the lattice of normal logics and the lattice of varieties of modal algebras, as well as between the lattice of varieties of J-algebras and the lattice of J-logics. For a logic L, by V (L) we denote its corresponding variety of algebras.

Original language	English
Pages (from-to)	540-545
Number of pages	6
Journal	Algebra and Logic
Volume	58
Issue number	6
DOIs	https://doi.org/10.1007/s10469-020-09572-1
Publication status	Published - 1 Jan 2020

Keywords

INTERPOLATION
SLICES

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10.1007/s10469-020-09572-1

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AB - Classifications of logics over Johansson’s minimal logic J and modal logics are considered. The paper contains a partial review of the results obtained after 2010. It is known that there is a duality between the lattice of normal logics and the lattice of varieties of modal algebras, as well as between the lattice of varieties of J-algebras and the lattice of J-logics. For a logic L, by V (L) we denote its corresponding variety of algebras.

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KW - SLICES

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Constructive Classifications of Modal Logics and Extensions of Minimal Logic

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Keywords

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