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Gratzl, Norbert (2010): A Sequent Calculus for a Negative Free Logic. In: Studia Logica, Bd. 96, Nr. 3: S. 331-348 [PDF, 266kB]

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Abstract

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.

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