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Poset Products as Relational Models - MaRDI portal

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Poset Products as Relational Models

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Publication:6355136

DOI10.1007/S11225-021-09956-ZarXiv2012.01247MaRDI QIDQ6355136

Author name not available (Why is that?)

Publication date: 2 December 2020

Abstract: We introduce a relational semantics based on poset products, and provide sufficient conditions guaranteeing its soundness and completeness for various substructural logics. We also demonstrate that our relational semantics unifies and generalizes two semantics already appearing in the literature: Aguzzoli, Bianchi, and Marra's temporal flow semantics for H'ajek's basic logic, and Lewis-Smith, Oliva, and Robinson's semantics for intuitionistic Lukasiewicz logic. As a consequence of our general theory, we recover the soundness and completeness results of these prior studies in a uniform fashion, and extend them to infinitely-many other substructural logics.





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