#
Stochastic Systems as Concurrent Constraint Programs

Vineet Gupta, Radha Jagadeesan, Prakash Panangaden
### Abstract

This paper describes a stochastic concurrent constraint language for
the description and programming of concurrent probabilistic systems.
The language can be viewed both as a calculus for describing and
reasoning about stochastic processes and as an executable language for
simulating stochastic processes. In this language programs encode
probability distributions over (potentially infinite) sets of objects.
We illustrate the subtleties that arise from the interaction of
constraints, random choice and recursion. We describe operational
semantics of these programs (programs are run by sampling random
choices), denotational semantics of programs (based on labeled
transition systems and weak probabilistic bisimulation), and prove
soundness theorems. We show that Probabilistic cc is conservative
over cc, thus justifying the design of Probabilistic cc. We use the
semantic study to illustrate a novel use of probability to analyze a
problem stated without reference to probability, namely the problem of
indeterminacy in synchronous programs.
© Association of Computing Machinery, 1999.

@InProceedings{probcc-popl99,
author = "Vineet Gupta and Radha Jagadeesan and Prakash Panangaden",
title = "Stochastic processes as concurrent constraint
programs",
booktitle = "{POPL} '99. Proceedings of the 26th {ACM}
{SIGPLAN}-{SIGACT} on Principles of programming
languages, January 20--22, 1999, San Antonio, {TX}",
publisher = "ACM Press",
address = "New York, NY, USA",
year = "1999",
pages = "189--202",
year = "1999"
}

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