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Titlebook: Relations and Kleene Algebra in Computer Science; 9th International Co Renate A. Schmidt Conference proceedings 2006 Springer-Verlag Berlin

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Finite Symmetric Integral Relation Algebras with No 3-Cycles, algebras. For example, it contains algebras that are not representable, algebras that are representable only on finite sets, algebras that are representable only on infinite sets, algebras that are representable on both finite and infinite sets, and there is an algorithm for determining which case holds.
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Betweenness and Comparability Obtained from Binary Relations,. Furthermore, we characterize betweenness relations induced by reflexive and antisymmetric binary relations, thus generalizing earlier results on partial orders. We conclude with a sketch of the algorithmic aspects of recognizing induced betweenness relations.
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Monotonicity Analysis Can Speed Up Verification,ring with the Alloy Analyzer, we show that for a relevant class of problems this technique outperforms analysis of the same problems using SAT-solvers, while consuming a fraction of the memory SAT-solvers require.
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Evaluating Sets of Search Points Using Relational Algebra,nts with certain properties. Therefore we transform relations into vectors and prove a formula to translate properties of relations into properties of the corresponding vectors. This approach is applied to timetable problems.
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