M. Baaz, A. Ciabattoni:
"Proof theory of witnesses Gödel logic: A negative result";
Journal of Logic and Computation, 26 (2016), 1; S. 51 - 64.

Kurzfassung englisch:
We introduce a first sequent-style calculus for witnessed Gödel logic. Our calculus makes use of the cut rule. We show that this is inescapable by establishing a general result on the non-existence of suitable analytic calculi for a large class of first-order logics. These include witnessed Gödel logic, (fragments of) Łukasiewicz logic and intuitionistic logic extended with the quantifiers of classical logic.

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