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ArticleOriginal scientific text

Title

Empirical Negation, Co-Negation and the Contraposition Rule II: Proof-Theoretical Investigations

Authors 1

Affiliations

  1. Japan Advanced Institute of Science and Technology, School of Information Science

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.

Keywords

ENG
empirical negation, co-negation, labelled sequent calculus, intuitionism

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Bulletin of the Section of Logic
2020/49/4
Export to PBN, Opens in new tab
Pages:
359-375
Main language of publication
English
Published
2020-12-30
Published online
2020-12-30

DOI: 10.18778/0138-0680.2020.13

Exact and natural sciences