On regular modal logics with axiom □ ⊤ → □□ ⊤

Studia Logica 49 (2):171 - 174 (1990)
Abstract
This paper is devoted to showing certain connections between normal modal logics and those strictly regular modal logics which have as a theorem. We extend some results of E. J. Lemmon (cf. [66]). In particular we prove that the lattice of the strictly regular modal logics with the axiom is isomorphic to the lattice of the normal modal logics.
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DOI 10.1007/BF00935596
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E. J. Lemmon (1966). Algebraic Semantics for Modal Logics I. Journal of Symbolic Logic 31 (1):46-65.

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