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Branching Bisimulation Congruence for Probabilistic Systems
Author(s) -
Nikola Trčka,
Sonja Georgievska
Publication year - 2008
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2008.11.023
Subject(s) - bisimulation , congruence (geometry) , probabilistic logic , branching (polymer chemistry) , mathematics , computer science , discrete mathematics , pure mathematics , geometry , statistics , materials science , composite material
The notion of branching bisimulation for the alternating model of probabilistic systems is not a congruence with respect to parallel composition. In this paper we first define another branching bisimulation in the more general model allowing consecutive probabilistic transitions, and we prove that it is compatible with parallel composition. We then show that our bisimulation is actually the coarsest congruence relation included in the existing branching bisimulation when restricted to the alternating model

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