Branching Bisimilarity is an Equivalence Indeed!

نویسنده

Twan Basten

چکیده

This note presents a detailed proof of a result in the theory of concurrency semantics that is already considered folklore, namely that branching bisimilarity is an equivalence relation. The \simple proof," which in the literature is always assumed to exist, is shown to be incorrect. The proof in this note is based on the notion of a semi-branching bisimulation taken from [10]. Branching bisimilarity can equivalently be de ned in terms of semi-branching bisimulations; the results suggest that such a de nition is more intuitive than the original de nition of [9].

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