Natural Deduction for Dual-intuitionistic Logic

Studia Logica 100 (3):631-648 (2012)

Authors
Luca Tranchini
Universität Tübingen
Abstract
We present a natural deduction system for dual-intuitionistic logic. Its distinctive feature is that it is a single-premise multiple-conclusions system. Its relationships with the natural deduction systems for intuitionistic and classical logic are discussed.
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DOI 10.1007/s11225-012-9417-8
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References found in this work BETA

The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
Constructive Negation, Implication, and Co-Implication.Heinrich Wansing - 2008 - Journal of Applied Non-Classical Logics 18 (2-3):341-364.

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Citations of this work BETA

A Modal Translation for Dual-Intuitionistic Logic.Yaroslav Shramko - 2016 - Review of Symbolic Logic 9 (2):251-265.
Reprint Of: A More General General Proof Theory.Heinrich Wansing - 2017 - Journal of Applied Logic 25:23-46.
Natural Deduction for Bi-Intuitionistic Logic.Luca Tranchini - 2017 - Journal of Applied Logic 25:S72-S96.
Deductive Inference as Indirect Verification.Takuro Onishi - 2015 - Journal of the Japan Association for Philosophy of Science 42 (2):81-95.

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