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Abstract

A B₄-valued propositional Belnap-Dunn logic will be proposed in this paper which there are two unary connectives [⊤] , [⊥] to represent the two middle values ⊤, ⊥ , respectively, and a Gentzen-typed deduction system will be given so that the system is sound and complete with the four-valued semantics of the propositional Belnap-Dunn logic.

Keywords

The Belnap-Dunn logic unary connective the soundness the completeness

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