Journal of Applied Logic 25:S72-S96 (2017)
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| Abstract |
We present a multiple-assumption multiple-conclusion system for bi-intuitionistic logic. Derivations in the systems are graphs whose edges are labelled by formulas and whose nodes are labelled by rules. We show how to embed both the standard intuitionistic and dual-intuitionistic natural deduction systems into the proposed system. Soundness and completeness are established using translations with more traditional sequent calculi for bi-intuitionistic logic.
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| Keywords | Multiple-conclusion Refutation Proofnet Co-implication |
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| DOI | 10.1016/j.jal.2017.12.001 |
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References found in this work BETA
Constructive Negation, Implication, and Co-Implication.Heinrich Wansing - 2008 - Journal of Applied Non-Classical Logics 18 (2-3):341-364.
A Formalization of the Propositional Calculus of H-B Logic.Cecylia Rauszer - 1974 - Studia Logica 33 (1):23 - 34.
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