A probabilistic Applied Pi-calculus

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Abstract

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.

Original languageEnglish
Title of host publicationProgramming Languages and Systems - 5th Asian Symposium, APLAS 2007, Proceedings
PublisherSpringer Verlag
Pages175-190
Number of pages16
ISBN (Print)9783540766360
DOIs
Publication statusPublished - 1 Jan 2007
Event5th Asian Symposium on Programming Languages and Systems, APLAS 2007 - Singapore, Singapore
Duration: 29 Nov 20071 Dec 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4807 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th Asian Symposium on Programming Languages and Systems, APLAS 2007
Country/TerritorySingapore
CitySingapore
Period29/11/071/12/07

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