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Some Additional Axioms for T-normal Logics. Defining K45, KB4, KD45 and S5 without Using Modal Rules
Bulletin of the Section of Logic 53 (4):511-533 (2024)
Abstract
The paper studies extensions of t-normal logics S0.5o and S0.5 obtained by means of some axioms of normal logics. We will prove determination theorems for these extensions by appropriate Kripke-style models. It will allow us to obtain the determinations of the logics K45, KB4 (= KB5), KD45 and S5 without using modal rules.Author's Profile
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References found in this work
New foundations for Lewis modal systems.E. J. Lemmon - 1957 - Journal of Symbolic Logic 22 (2):176-186.
Simplified Kripke style semantics for some very weak modal logics.Andrzej Pietruszczak - 2009 - Logic and Logical Philosophy 18 (3-4):271-296.
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