Abstract
We investigate some relationships between bisimilaxity defined by open maps and behavioural equivalence factorized by indistinguishability relations. This is done in the setting of a concrete category supporting algebraic constructions of subobject and quotient. Some sufficient condition is found for bisimilarity to be factorizable by the greatest open congruences. We also find a necessary and sufficient condition for a factorization of bisimilarity: quotients by all maximal open congruences are isomorphic. The general results are motivated and illustrated by important examples: transition systems, event structures and presheaves.KeywordsTransition SystemEvent StructureFull SubcategoryUnique MorphismArbitrary CategoryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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