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arXiv · 2111.00507

Introduction to probabilistic concurrent systems

Samy Abbes
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Abstract

The first part of the paper is an introduction to the theory of probabilistic concurrent systems under a partial order semantics. Key definitions and results are given and illustrated on examples. The second part includes contributions. We introduce deterministic concurrent systems as a subclass of concurrent systems. Deterministic concurrent system are "locally commutative'" concurrent systems. We prove that irreducible and deterministic concurrent systems have a unique probabilistic dynamics, and we characterize these systems by means of their combinatorial properties.

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Samy Abbes. 2021-10-31. Introduction to probabilistic concurrent systems. https://doi.org/10.3233/fi-222133

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