May 2021 Proof Nets for Classical Logic
Stefano Guerrini, Andrea Masini
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Notre Dame J. Formal Logic 62(2): 303-343 (May 2021). DOI: 10.1215/00294527-2021-0016

Abstract

We propose a new direct presentation of full (propositional) classical logic by means of proof nets, for which strong normalization and confluence hold true. Our proposal is based on the breaking of symmetry between propositional connectives, combined with a principle of focusing/defocusing.

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Stefano Guerrini. Andrea Masini. "Proof Nets for Classical Logic." Notre Dame J. Formal Logic 62 (2) 303 - 343, May 2021. https://doi.org/10.1215/00294527-2021-0016

Information

Received: 20 November 2019; Accepted: 11 November 2020; Published: May 2021
First available in Project Euclid: 9 June 2021

Digital Object Identifier: 10.1215/00294527-2021-0016

Subjects:
Primary: 03F03
Secondary: 03F05 , 03F7

Keywords: classical logic , proof nets , proof theory

Rights: Copyright © 2021 University of Notre Dame

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Vol.62 • No. 2 • May 2021
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