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A Note on Gödel-Dummet Logic LC
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A Note on Gödel-Dummet Logic LC
A Note on Gödel-Dummet Logic LC
Journal Article

A Note on Gödel-Dummet Logic LC

2021
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Overview
Let \\(A_0,A_1,...,A_n\\) be (possibly) distintict wffs, \\(n\\) being an odd number equal to or greater than 1. Intuitionistic Propositional Logic IPC plus the axiom \\((A_0 A_1) ... (A_n-1 A_n) (A_n A_0)\\) is equivalent to Gödel-Dummett logic LC. However, if \\(n\\) is an even number equal to or greater than 2, IPC plus the said axiom is a sublogic of LC.
Publisher
Wydawnictwo Uniwersytetu Łódzkiego,Lodz University Press,University of Łódź