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A Note on Gödel-Dummet Logic LC
Bulletin of the Section of Logic 50 (3):325-335 (2021)
Abstract
Let \ be distintict wffs, \ being an odd number equal to or greater than 1. Intuitionistic Propositional Logic IPC plus the axiom \\vee...\vee \vee \) is equivalent to Gödel-Dummett logic LC. However, if \ is an even number equal to or greater than 2, IPC plus the said axiom is a sublogic of LC.Author Profiles
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References found in this work
A propositional calculus with denumerable matrix.Michael Dummett - 1959 - Journal of Symbolic Logic 24 (2):97-106.
A binary Routley semantics for intuitionistic De Morgan minimal logic HM and its extensions.G. Robles & J. M. Mendez - 2015 - Logic Journal of the IGPL 23 (2):174-193.
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