A Probabilistic Applied Pi–Calculus

  • Jean Goubault-Larrecq
  • Catuscia Palamidessi
  • Angelo Troina
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4807)


We propose an extension of the Applied Pi–calculus by introducing nondeterministic and probabilistic choice operators. The semantics of the resulting model, in which probability and nondeterminism are combined, is given by Segala’s Probabilistic Automata driven by schedulers which resolve the nondeterministic choice among the probability distributions over target states. Notions of static and observational equivalence are given for the enriched calculus. In order to model the possible interaction of a process with its surrounding environment a labeled semantics is given together with a notion of weak bisimulation which is shown to coincide with the observational equivalence. Finally, we prove that results in the probabilistic framework are preserved in a purely nondeterministic setting.


Equational Theory Security Protocol Probabilistic Apply Extended Process Oblivious Transfer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Jean Goubault-Larrecq
    • 1
  • Catuscia Palamidessi
    • 2
  • Angelo Troina
    • 1
    • 2
  1. 1.LSV - ENS Cachan, 61 Avenue du Président Wilson, 94235 CachanFrance
  2. 2.LIX - École Polytechnique, Rue de Saclay, 91128 PalaiseauFrance

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