A Note on Gödel-Dummet Logic LC





Intermediate logics, Gödel-Dummet logic LC


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 \((A_{0}\rightarrow A_{1})\vee ...\vee (A_{n-1}\rightarrow A_{n})\vee (A_{n}\rightarrow A_{0})\) 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.


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How to Cite

Robles, G., & Méndez, J. M. (2021). A Note on Gödel-Dummet Logic LC. Bulletin of the Section of Logic, 50(3), 325–335. https://doi.org/10.18778/0138-0680.2021.15



Research Article