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arXiv · 1612.00963

Undefinability of Standard sequent calculi for Paraconsistent three-valued logics

S. Bonzio·M. Pra Baldi
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Abstract

In this paper we study the deductive properties of a family of 3-valued paraconsistent logics. We define a notion of standard sequent calculus and prove that there is no sound and complete standard sequent calculus for these logics. Moreover, we provide non-standard sound, complete and cut free sequent calculus for Paraconsistent Weak Kleene Logic using three-sided sequents.

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BibTeXRIS

S. Bonzio, M. Pra Baldi. 2016-12-03. Undefinability of Standard sequent calculi for Paraconsistent three-valued logics. https://arxiv.org/abs/1612.00963

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