Logic in the Deep End

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Abstract

Weak enough relevant logics are often closed under depth substitutions. To determine the breadth of logics with this feature, we show there is a largest sublogic of R closed under depth substitutions and that this logic can be recursively axiomatized.

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Author Profiles

Shay Logan
Kansas State University
Blane Worley
Graham Leach-Krouse
Kansas State University

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References found in this work

Varieties of Relevant S5.Shawn Standefer - 2023 - Logic and Logical Philosophy 32 (1):53–80.
Strong Depth Relevance.Shay Allen Logan - 2021 - Australasian Journal of Logic 18 (6):645-656.
Depth Relevance and Hyperformalism.Shay Allen Logan - 2022 - Journal of Philosophical Logic 51 (4):721-737.
On axiomatizability within a system.William Craig - 1953 - Journal of Symbolic Logic 18 (1):30-32.

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