Partial and paraconsistent three-valued logics
Journal Title: Logic and Logical Philosophy - Year 2016, Vol 25, Issue 2
Abstract
On the sidelines of classical logic, many partial and paraconsistent three-valued logics have been developed. Most of them differ in the notion of logical consequence or in the definition of logical connectives. This article aims, firstly, to provide both a model-theoretic and a proof-theoretic unified framework for these logics and, secondly, to apply these general frameworks to several well-known three-valued logics. The proof-theoretic approach to which we give preference is sequent calculus. In this perspective, several results concerning the properties of functional completeness, cut redundancy, and proof-search procedure are shown. We also provide a general proof for the soundness and the completeness of the three sequent calculi discussed.
Authors and Affiliations
Vincent Degauquier
Keywords
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- EP ID EP201816
- DOI 10.12775/LLP.2016.003
- Views 62
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