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Safety Analysis of Parameterised Networks with Non-Blocking Rendez-Vous

Authors Lucie Guillou, Arnaud Sangnier, Nathalie Sznajder

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Author Details

Lucie Guillou
  • IRIF, CNRS, Université Paris Cité, France
Arnaud Sangnier
  • IRIF, CNRS, Université Paris Cité, France
Nathalie Sznajder
  • LIP6, CNRS, Sorbonne Université, France

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Lucie Guillou, Arnaud Sangnier, and Nathalie Sznajder. Safety Analysis of Parameterised Networks with Non-Blocking Rendez-Vous. In 34th International Conference on Concurrency Theory (CONCUR 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 279, pp. 7:1-7:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
https://doi.org/10.4230/LIPIcs.CONCUR.2023.7

Abstract

We consider networks of processes that all execute the same finite-state protocol and communicate via a rendez-vous mechanism. When a process requests a rendez-vous, another process can respond to it and they both change their control states accordingly. We focus here on a specific semantics, called non-blocking, where the process requesting a rendez-vous can change its state even if no process can respond to it. In this context, we study the parameterised coverability problem of a configuration, which consists in determining whether there is an initial number of processes and an execution allowing to reach a configuration bigger than a given one. We show that this problem is EXPSPACE-complete and can be solved in polynomial time if the protocol is partitioned into two sets of states, the states from which a process can request a rendez-vous and the ones from which it can answer one. We also prove that the problem of the existence of an execution bringing all the processes in a final state is undecidable in our context. These two problems can be solved in polynomial time with the classical rendez-vous semantics.

Subject Classification

ACM Subject Classification
  • Theory of computation → Formal languages and automata theory
Keywords
  • Parameterised verification
  • Coverability
  • Counter machines

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