# Three Logics for Branching Bisimulation

De Nicola, Rocco and Vaandrager, Frits W. Three Logics for Branching Bisimulation. J. ACM, 42 (2). pp. 458-487. ISSN 0004-5411 (1995)

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## 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.

Item Type: Article 10.1145/201019.201032 ACM id: 201032 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 Q Science > QA Mathematics > QA75 Electronic computers. Computer science Computer Science and Applications Rocco De Nicola 13 Jun 2011 13:03 11 Jul 2011 14:36 http://eprints.imtlucca.it/id/eprint/365

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