@article{eprints365, volume = {42}, year = {1995}, title = {Three Logics for Branching Bisimulation}, author = {Rocco De Nicola and Frits W. Vaandrager}, journal = {J. ACM}, publisher = {ACM}, note = {ACM id: 201032}, number = {2}, pages = {458--487}, url = {http://eprints.imtlucca.it/365/}, keywords = {CTL*, Hennessy-Milner logic, Kripke structures, backward modalities, branching bisimulation equivalence, concurrency, doubly labeled transition systems, labeled transition systems, reactive systems, semantics, stuttering equivalence, until operations}, abstract = {Three temporal logics are introduced that induce on labeled transition systems the same identifications as branching bisimulation, a behavioral equivalence that aims at ignoring invisible transitions while preserving the branching structure of systems. The first logic is an extension of Hennessy-Milner Logic with an ?until? operator. The second one is another extension of Hennessy-Milner Logic, which exploits the power of backward modalities. The third logic is CTL* without the next-time operator. A relevant side-effect of the last characterization is that it sets a bridge between the state- and action-based approaches to the semantics of concurrent systems.} }