@article{Degauquier_2016, title={Partial and paraconsistent three-valued logics}, volume={25}, url={https://apcz.umk.pl/LLP/article/view/LLP.2016.003}, DOI={10.12775/LLP.2016.003}, abstractNote={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.}, number={2}, journal={Logic and Logical Philosophy}, author={Degauquier, Vincent}, year={2016}, month={Feb.}, pages={143–171} }