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Labeled state-to-function transition systems, FuTS for short, admit multipletransition schemes from states to functions of finite support over generalsemirings. As such they constitute a convenient modeling instrument to dealwith stochastic process languages. In this paper, the notion of bisimulationinduced by a FuTS is proposed and a correspondence result is proven statingthat FuTS-bisimulation coincides with the behavioral equivalence of theassociated functor. As generic examples, the concrete existing equivalences forthe core of the process algebras ACP, PEPA and IMC are related to thebisimulation of specific FuTS, providing via the correspondence resultcoalgebraic justification of the equivalences of these calculi.

Bisimulation of Labeled State-to-Function Transition Systems of Stochastic Process Languages