Property-dependent reductions adequate with divergence-sensitive branching bisimilarity

R. Mateescu, A.J. Wijs

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)


When analyzing the behavior of finite-state concurrent systems by model checking, one way of fighting state space explosion is to reduce the model as much as possible whilst preserving the properties under verification. We consider the framework of action-based systems, whose behaviors can be represented by labeled transition systems (Ltss), and whose temporal properties of interest can be formulated in modal µ-calculus (L_µ). First, we determine, for any L_µ formula, the maximal set of actions that can be hidden in the Lts without changing the interpretation of the formula. Then, we define L_{µ}^{dsbr}, a fragment of Lµ which is adequate w.r.t. divergence-sensitive branching bisimilarity. This enables us to apply the maximal hiding and to reduce the Lts on-the-fly using divergence-sensitive t-confluence during the verification of any L_{µ}^{dsbr} formula. The experiments that we performed on various examples of communication protocols and distributed systems show that this reduction approach can significantly improve the performance of on-the-fly verification. Keywords: Divergence-sensitive branching bisimulation; Labeled transition system; Modal µ-calculus;Model checking; On-the-fly verification
Original languageEnglish
Pages (from-to)354-376
Number of pages23
JournalScience of Computer Programming
Issue number3
Publication statusPublished - 2014


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