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Explorations in Subexponential Non-associative Non-commutative Linear Logic

Blaisdell, Eben; Kanovich, Max; Kuznetsov, Stepan L; Pimentel, Elaine; Scedrov, Andre; (2023) Explorations in Subexponential Non-associative Non-commutative Linear Logic. Electronic Proceedings in Theoretical Computer Science , 381 pp. 4-19. 10.4204/EPTCS.381.3. Green open access

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Abstract

In a previous work we introduced a non-associative non-commutative logic extended by multimodalities, called subexponentials, licensing local application of structural rules. Here, we further explore this system, exhibiting a classical one-sided multi-succedent classical analogue of our intuitionistic system, following the exponential-free calculi of Buszkowski, and de Groote, Lamarche. A large fragment of the intuitionistic calculus is shown to embed faithfully into the classical fragment.

Type: Article
Title: Explorations in Subexponential Non-associative Non-commutative Linear Logic
Event: 34th European Summer School in Logic, Language and Information (ESSLLI)
Location: Ljubljana, Slovenia
Dates: 7th-8th August 2023
Open access status: An open access version is available from UCL Discovery
DOI: 10.4204/EPTCS.381.3
Publisher version: http://doi.org/10.4204/eptcs.381.3
Language: English
Additional information: © Blaisdell, Kanovich, Kuznetsov, Pimentel, Scedrov. This work is licensed under the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10177066
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