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arXiv · 2308.05537

Explorations in Subexponential Non-associative Non-commutative Linear Logic

Eben Blaisdell·Max Kanovich·Stepan L. Kuznetsov·Elaine Pimentel·Andre Scedrov
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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.

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Eben Blaisdell, Max Kanovich, Stepan L. Kuznetsov, Elaine Pimentel, Andre Scedrov. 2023-08-08. Explorations in Subexponential Non-associative Non-commutative Linear Logic. https://doi.org/10.4204/eptcs.381.3

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