Titlebook: Hiroakira Ono on Substructural Logics; Nikolaos Galatos,Kazushige Terui Book 2022 The Editor(s) (if applicable) and The Author(s), under e

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Finite Embeddability Property for Residuated Lattices via Regular LanguagesLet . be a variety of residuated lattices axiomatized by a set of identities in the language .. We characterize when . has the finite embeddability property via regularity of a certain collection of languages. Several applications of this characterization are presented.

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Cover Systems for the Modalities of Linear Logicdal FL-cover system that combines aspects of Beth-Kripke-Joyal semantics with Girard’s interpretation of the ! modality, and has structured subsets that interpret propositions. We show that any modal FL-algebra can be represented as an algebra of propositions of some modal FL-cover system.

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Book 2022g systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions.  This book will be primarily of interest to researchers working in algebraic and non-classical logic..

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