LP, K3, and FDE as Substructural Logics

In Pavel Arazim & Tomáš Lavička (eds.), The Logica Yearbook 2016. London: College Publications (2017)
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Abstract
Building on recent work, I present sequent systems for the non-classical logics LP, K3, and FDE with two main virtues. First, derivations closely resemble those in standard Gentzen-style systems. Second, the systems can be obtained by reformulating a classical system using nonstandard sequent structure and simply removing certain structural rules (relatives of exchange and contraction). I clarify two senses in which these logics count as “substructural.”
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First archival date: 2017-02-09
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The Logic of Paradox.Priest, Graham

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Proof-Theoretic Pluralism.Ferrari, Filippo & Orlandelli, Eugenio

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