A sequent calculus for a negative free logic

Studia Logica 96 (3):331-348 (2010)
This article presents a sequent calculus for a negative free logic with identity, called N . The main theorem (in part 1) is the admissibility of the Cut-rule. The second part of this essay is devoted to proofs of soundness, compactness and completeness of N relative to a standard semantics for negative free logic.
Keywords Free Logic  Cut-elimination  Compactness  Completeness
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References found in this work BETA
Gaisi Takeuti (1987). Proof Theory. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
Karel Lambert (2001). Free Logics. In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell Publishers 258--279.

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