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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DOI 10.2307/41475131
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Gaisi Takeuti (1987). Proof Theory. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..

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