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.
This work was supported by the KBN grant 8 T11C 046 14.
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Lasota, S. (1998). Partial-congruence factorization of bisimilarity induced by open maps. In: Larsen, K.G., Skyum, S., Winskel, G. (eds) Automata, Languages and Programming. ICALP 1998. Lecture Notes in Computer Science, vol 1443. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0055043
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DOI: https://doi.org/10.1007/BFb0055043
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