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Universal Safety for Timed Petri Nets is PSPACE-complete

Authors Parosh Aziz Abdulla, Mohamed Faouzi Atig, Radu Ciobanu, Richard Mayr, Patrick Totzke



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Parosh Aziz Abdulla
  • Uppsala University, Sweden
Mohamed Faouzi Atig
  • Uppsala University, Sweden
Radu Ciobanu
  • University of Edinburgh, UK
Richard Mayr
  • University of Edinburgh, UK
Patrick Totzke
  • University of Edinburgh, UK

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Parosh Aziz Abdulla, Mohamed Faouzi Atig, Radu Ciobanu, Richard Mayr, and Patrick Totzke. Universal Safety for Timed Petri Nets is PSPACE-complete. In 29th International Conference on Concurrency Theory (CONCUR 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 118, pp. 6:1-6:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.CONCUR.2018.6

Abstract

A timed network consists of an arbitrary number of initially identical 1-clock timed automata, interacting via hand-shake communication. In this setting there is no unique central controller, since all automata are initially identical. We consider the universal safety problem for such controller-less timed networks, i.e., verifying that a bad event (enabling some given transition) is impossible regardless of the size of the network. This universal safety problem is dual to the existential coverability problem for timed-arc Petri nets, i.e., does there exist a number m of tokens, such that starting with m tokens in a given place, and none in the other places, some given transition is eventually enabled. We show that these problems are PSPACE-complete.

Subject Classification

ACM Subject Classification
  • Theory of computation → Timed and hybrid models
Keywords
  • timed networks
  • safety checking
  • Petri nets
  • coverability

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References

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