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arXiv · 2307.03059

Explorations in Subexponential non-associative non-commutative Linear Logic (extended version)

Eben Blaisdell·Max I. 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, considering a classical one-sided multi-succedent classical version of the system, following the exponential-free calculi of Buszkowski's and de Groote and Lamarche's works, where the intuitionistic calculus is shown to embed faithfully into the classical fragment.

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Eben Blaisdell, Max I. Kanovich, Stepan L. Kuznetsov, Elaine Pimentel, Andre Scedrov. 2023-07-06. Explorations in Subexponential non-associative non-commutative Linear Logic (extended version). https://arxiv.org/abs/2307.03059

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