Titlebook: Relations and Kleene Algebra in Computer Science; 10th International C Rudolf Berghammer,Bernhard Möller,Georg Struth Conference proceeding

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The Algebraic Approach I: The Algebraization of the Chomsky Hierarchy,nt languages, translations and other computations as expressions (e.g. regular expressions) in suitably-defined algebras; and grammars, automata and transitions as relational and equational systems over these algebras, that have such expressions as their solutions. The possibility of a comprehensive

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The Algebraic Approach II: Dioids, Quantales and Monads,nt languages, translations and other computations as expressions (e.g. regular expressions) in suitably-defined algebras; and grammars, automata and transitions as relational and equational systems over these algebras that have such expressions as their solutions..As part of a larger programme to al

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,Automated Reasoning for Hybrid Systems — Two Case Studies —,s, like omega algebras, provide a reasonable base for automated reasoning, the aim of the present paper is to show that automated algebraic reasoning for hybrid system is feasible. We mainly focus on applications. In particular, we present case studies and proof experiments to show how concrete prop

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A Relation Algebraic Semantics for a Lazy Functional Logic Language,ramework can be used to clarify notions currently discussed in the field of functional logic languages, like constructive negation, function inversion and encapsulated search. All of these topics have proved to involve subtle problems in the context of sharing and laziness in the past.

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The Algebraic Approach II: Dioids, Quantales and Monads,ioid algebras. Here, we will formulate a general construction by ideals that yields a family of adjunctions between the members of this hierarchy..In addition, we will briefly discuss the extension of the dioid hierarchy to semirings and power series algebras.