## Abstract

Complex software systems typically involve features like time, concurrency and probability, where probabilistic computations play an increasing role. It is challenging to formalize languages comprising all these features. In this paper, we integrate probability, time and concurrency in one single model, where the concurrency feature is modelled using shared-variable based communication. The probability feature is represented by a probabilistic nondeterministic choice, probabilistic guarded choice and a probabilistic version of parallel composition. We formalize an operational semantics for such an integration. Based on this model we define a bisimulation relation, from which an observational equivalence between probabilistic programs is investigated and a collection of algebraic laws are explored. We also implement a prototype of the operational semantics to animate the execution of probabilistic programs.

Original language | English |
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Title of host publication | Proceedings of the 30th annual IEEE/NASA software engineering workshop, SEW-30 |

Place of Publication | California |

Publisher | IEEE |

Pages | 179-189 |

DOIs | |

Publication status | Published - 2006 |

Event | 30th Annual IEEE/NASA Software Engineering Workshop - Columbia, United States Duration: 24 Apr 2006 → 28 Apr 2006 Conference number: 30 |

### Conference

Conference | 30th Annual IEEE/NASA Software Engineering Workshop |
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Abbreviated title | SEW-30 |

Country/Territory | United States |

City | Columbia |

Period | 24/04/06 → 28/04/06 |