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Explorations in Subexponential non-associative non-commutative Linear Logic (extended version) (2307.03059v2)
Published 6 Jul 2023 in cs.LO and math.LO
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.