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  Branching Bisimilarity is an Equivalence Indeed (1996) [31 citations — 3 self]

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by Twan Basten
Information Processing Letters
http://www.ics.ele.tue.nl/~tbasten/papers/bbe.ps.gz
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Abstract:

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 defined in terms of semi-branching bisimulations; the results suggest that such a definition is more intuitive than the original definition of [9]. Key words: Formal semantics; concurrency theory; branching bisimilarity

Citations

241 The linear time { branching time spectrum II: The semantics of sequential systems with silent moves – Glabbeek - 1993
203 Branching time and abstraction in bisimulation semantics – Glabbeek, Weijland - 1996
92 Process Algebra, volume 18 of Cambridge Tracts – Baeten, Weijland - 1990
79 Three Logics of Branching Bisimulation – Nicola, Vaandrager - 1990
40 Structural operational semantics for weak bisimulations – Bloom - 1993
21 A complete axiomatization for branching bisimulation congruence of finite-state behaviours – Glabbeek - 1993
13 Back and forth bisimulations – Nicola, Montanari, et al. - 1990
13 Synchrony and asynchrony in process algebra – Weijland - 1989
5 τ-bisimulation and full abstraction for refinement of actions – Cherief, Schnoebelen - 1991
5 About semantic action refinement – Degano, Gorrieri - 1991
2 A Calculus of Communcating Systems – Milner - 1980
2 Synchrony and Asynchrony – Weijland - 1989
1 A Calculus of Communcating – Milner