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Titlebook: Relational and Algebraic Methods in Computer Science; 18th International C Uli Fahrenberg,Peter Jipsen,Michael Winter Conference proceeding

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Differential Hoare Logics and Refinement Calculi for Hybrid Systems with Isabelle/HOL,ith tests is used for reasoning about the program structure and generating verification conditions at this level. Lenses capture hybrid program stores in a generic algebraic way. The approach has been formalised with the Isabelle/HOL proof assistant. Several examples explain the workflow with the re
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,Preorders, Partial Semigroups, and Quantales,im of this paper is to understand the relational embedding as a relationship between quantales and preorders. For that, this paper introduces the notion of weak preorders, a functor from the category of weak preorders to the category of partial semigroups, and a functor from the category of partial
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Counting and Computing Join-Endomorphisms in Lattices,morphisms of a given finite lattice .. In particular, we show that when . is ., the discrete order of . elements extended with top and bottom, . where . is the Laguerre polynomial of degree .. We also study the following problem: Given a lattice . of size . and a set . of size ., find the greatest l
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Computer-Supported Exploration of a Categorical Axiomatization of Modeloids,with an operation, called the derivative, which is inspired by Ehrenfeucht-Fraïssé games. In this paper we develop a generalization of a modeloid first to an inverse semigroup and then to an inverse category using an axiomatic approach to category theory. We then show that this formulation enables a
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