On the importance of being analytic. The paradigmatic case of the logic of proofs

Logique Et Analyse 55 (219):443-461 (2012)
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Abstract

In the recent literature on proof theory, there seems to be a new raising topic which consists in identifying those properties that characterise a good sequent calculus. The property that has received by far the most attention is the analyticity property. In this paper we propose a new argument in support of the analyticity property. We will do it by means of the example of the logic of proofs, a logic recently introduced by Artemov [1]. Indeed a detailed proof analysis of this logic sheds new light on the logic itself and perfectly exemplifies our argument in favour of the analiticity.

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Citations of this work

A Constructionist Philosophy of Logic.Patrick Allo - 2017 - Minds and Machines 27 (3):545-564.
Is, Ought, and Cut.Norbert Gratzl & Edi Pavlović - 2023 - Journal of Philosophical Logic 52 (4):1149-1169.
An Analytic Calculus for the Intuitionistic Logic of Proofs.Brian Hill & Francesca Poggiolesi - 2019 - Notre Dame Journal of Formal Logic 60 (3):353-393.

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References found in this work

Investigations into Logical Deduction.Gerhard Gentzen - 1964 - American Philosophical Quarterly 1 (4):288 - 306.
Explicit provability and constructive semantics.Sergei N. Artemov - 2001 - Bulletin of Symbolic Logic 7 (1):1-36.
The logic of proofs, semantically.Melvin Fitting - 2005 - Annals of Pure and Applied Logic 132 (1):1-25.
Sequent-systems for modal logic.Kosta Došen - 1985 - Journal of Symbolic Logic 50 (1):149-168.

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