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Empirical Negation, Co-Negation and the Contraposition Rule II: Proof-Theoretical Investigations
Bulletin of the Section of Logic 49 (4):359-375 (2020)
Abstract
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.Other Versions
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References found in this work
An intuitionistic completeness theorem for intuitionistic predicate logic.Wim Veldman - 1976 - Journal of Symbolic Logic 41 (1):159-166.
Dualising Intuitionictic Negation.Graham Priest - 2009 - Principia: An International Journal of Epistemology 13 (2):165-184.
Variations on da Costa C systems and dual-intuitionistic logics I. analyses of cω and CCω.Richard Sylvan - 1990 - Studia Logica 49 (1):47-65.
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