Natural Deduction for Dual-intuitionistic Logic

Studia Logica 100 (3):631-648 (2012)
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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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10.1007/s11225-012-9417-8

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reprint Tranchini, Luca (2017) "Natural deduction for bi-intuitionistic logic". Journal of Applied Logic 25():S72-S96

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Luca Tranchini
Universität Tübingen

Citations of this work

Proof-Theoretic Semantics.Peter Schroeder-Heister - 2024 - Stanford Encyclopedia of Philosophy.
A modal translation for dual-intuitionistic logic.Yaroslav Shramko - 2016 - Review of Symbolic Logic 9 (2):251-265.
Necessity of Thought.Cesare Cozzo - 2014 - In Heinrich Wansing, Dag Prawitz on Proofs and Meaning. Cham, Switzerland: Springer. pp. 101-20.
Reprint of: A more general general proof theory.Heinrich Wansing - 2017 - Journal of Applied Logic 25:23-46.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
What is a theory of meaning?Michael Dummett - 1975 - In Samuel D. Guttenplan, Mind and language. Oxford [Eng.]: Clarendon Press.
Untersuchungen über das logische Schließen. I.Gerhard Gentzen - 1935 - Mathematische Zeitschrift 35:176–210.

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