Titlebook: Relational and Algebraic Methods in Computer Science; 19th International C Uli Fahrenberg,Mai Gehrke,Michael Winter Conference proceedings

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Algorithmic Correspondence for Relevance Logics, Bunched Implication Logics, and Relation Algebras loped for computing first-order equivalents of formulas of the language of relevance logics . in terms of the standard Routley-Meyer relational semantics. It succeeds on a large class of axioms of relevance logics, including all so called inductive formulas. In the present work we re-interpret . fro

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Some Modal and Temporal Translations of Generalized Basic Logic,ulated with exchange, weakening, and falsum). We further exhibit algebraic semantics for each logic in this family, in particular showing that all of them are algebraizable in the sense of Blok and Pigozzi. Using this algebraization result and an analysis of congruences in the pertinent varieties, w

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Free Modal Riesz Spaces are Archimedean: A Syntactic Proof,ttices) endowed with a positive linear 1–decreasing operator, and have found application in the development of probabilistic temporal logics in the field of formal verification. All our results have been formalised using the Coq proof assistant.

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Polyadic Spaces and Profinite Monoids,Boolean hyperdoctrine. He also proposed to recover a polyadic space from a simpler core, its Stirling kernel. We generalize this here in order to adapt polyadic spaces to certain classes of first-order theories. We will see how these ideas can be applied to give a correspondence between some first-o