Weak bisimilarity and open maps

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Abstract

An alternative proof (to that from [3]) is presented for weak bisimilarity of transition systems to be abstractly definable by open maps [9]. This result arises from an observation that the categories (of transition systems) well suited for studying strong and weak bisimulations are related by an adjunction (for a suitable monad), giving a link between both bisimilarities.We formulate a generalization of this result, hopefully applicable also to other equivalences of processes.

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Lasota, S. (1998). Weak bisimilarity and open maps. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1521, pp. 381–388). Springer Verlag. https://doi.org/10.1007/3-540-49477-4_30

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