Title
Is Timed Branching Bisimilarity a Congruence Indeed?
Abstract
We show that timed branching bisimilarity as defined by Van der Zwaag [17] and Baeten and Middelburg [2] is not an equivalence relation, in case of a dense time domain. We propose an adaptation based on Van der Zwaag's definition, and prove that the resulting timed branching bisimilarity is an equivalence indeed. Furthermore, we prove that in case of a discrete time domain, Van der Zwaag's definition and our adaptation coincide. Finally, we prove that a rooted version of timed branching bisimilarity is a congruence over a basic timed process algebra containing parallelism, successful termination and deadlock.
Year
Venue
Keywords
2008
Fundam. Inform.
van der zwaag,process algebra,successful termination,discrete time domain,equivalence relation,dense time domain,rooted version,time domain,discrete time
Field
DocType
Volume
Time domain,Discrete mathematics,Combinatorics,Equivalence relation,Deadlock,Discrete time domain,Equivalence (measure theory),Congruence (geometry),Process calculus,Mathematics,Branching (version control)
Journal
87
Issue
ISSN
Citations 
3-4
0169-2968
2
PageRank 
References 
Authors
0.38
8
3
Name
Order
Citations
PageRank
Wan Fokkink1108988.64
Jun Pang252130.59
Anton Wijs320322.84