A Simple Logical Matrix and Sequent Calculus for Parry’s Logic of Analytic Implication

Studia Logica 109 (4):791-828 (2021)
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Abstract

We provide a logical matrix semantics and a Gentzen-style sequent calculus for the first-degree entailments valid in W. T. Parry’s logic of Analytic Implication. We achieve the former by introducing a logical matrix closely related to that inducing paracomplete weak Kleene logic, and the latter by presenting a calculus where the initial sequents and the left and right rules for negation are subject to linguistic constraints.

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Damian Szmuc
Universidad de Buenos Aires (UBA)

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