Proof Theory of Paraconsistent Weak Kleene Logic
Studia Logica 108 (4):779-802 (2020)
Abstract
Paraconsistent Weak Kleene Logic is the 3-valued propositional logic defined on the weak Kleene tables and with two designated values. Most of the existing proof systems for PWK are characterised by the presence of linguistic restrictions on some of their rules. This feature can be seen as a shortcoming. We provide a cut-free calculus for PWK that is devoid of such provisos. Moreover, we introduce a Priest-style tableaux calculus for PWK.Author's Profile
DOI
10.1007/s11225-019-09876-z
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Citations of this work
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Extensions of paraconsistent weak Kleene logic.Francesco Paoli & Michele Pra Baldi - forthcoming - Logic Journal of the IGPL.
Neutral Free Logic: Motivation, Proof Theory and Models.Edi Pavlović & Norbert Gratzl - forthcoming - Journal of Philosophical Logic:1-36.
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