Norm functions for probabilistic bisimulations with delays

Abstract

We consider action-labelled systems with non-deterministic and probabilistic choice. Using the concept of norm functions [17], we introduce two types of bisimulations (called (strict) normed bisimulation equivalence) that allow for delays when simulating a transition and are strictly between strong and weak bisimulation equivalence à la [26,36,37]. Using a suitable modification of the prominent splitter/partitioning technique [25,30], we present polynomial-time algorithms that constructs the quotient space of the (strict) normed bisimulation equivalence classes. © Springer-Verlag Berlin Heidelberg 2000.