Uniform labeled transition systems for nondeterministic, probabilistic, and stochastic processes

  • Authors:
  • Marco Bernardo;Rocco De Nicola;Michele Loreti

  • Affiliations:
  • Dipartimento di Matematica, Fisica e Informatica, Università di Urbino, Italy;Dipartimento di Sistemi e Informatica, Università di Firenze, Italy;Dipartimento di Sistemi e Informatica, Università di Firenze, Italy

  • Venue:
  • TGC'10 Proceedings of the 5th international conference on Trustworthly global computing
  • Year:
  • 2010

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Abstract

Rate transition systems (RTS) are a special kind of transition systems introduced for defining the stochastic behavior of processes and for associating continuous-time Markov chains with process terms. The transition relation assigns to each process, for each action, the set of possible futures paired with a measure indicating the rates at which they are reached. RTS have been shown to be a uniform model for providing an operational semantics to many stochastic process algebras. In this paper, we define Uniform Labeled TRAnsition Systems (ULTraS) as a generalization of RTS that can be exploited to uniformly describe also nondeterministic and probabilistic variants of process algebras. We then present a general notion of behavioral relation for ULTraS that can be instantiated to capture bisimulation and trace equivalences for fully nondeterministic, fully probabilistic, and fully stochastic processes.