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Empirical Negation, Co-Negation and the Contraposition Rule II: Proof-Theoretical Investigations
Bulletin of the Section of Logic, Tome 49 (2020) no. 4, pp. 359-375.

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We continue the investigation of the first paper where we studied logics with various negations including empirical negation and co-negation. We established how such logics can be treated uniformly with R. Sylvan's CCω as the basis. In this paper we use this result to obtain cut-free labelled sequent calculi for the logics.
Keywords: empirical negation, co-negation, labelled sequent calculus, intuitionism 
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Niki, Satoru. Empirical Negation, Co-Negation and the Contraposition Rule II: Proof-Theoretical Investigations. Bulletin of the Section of Logic, Tome 49 (2020) no. 4, pp. 359-375. http://geodesic.mathdoc.fr/item/BSL_2020_49_4_a2/

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