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DOI: 10.4230/LIPIcs.CONCUR.2018.19

Reachability in Parameterized Systems: All Flavors of Threshold Automata

Authors: Jure Kukovec, Igor Konnov, and Josef Widder

Published in: LIPIcs, Volume 118, 29th International Conference on Concurrency Theory (CONCUR 2018)

Abstract

Threshold automata, and the counter systems they define, were introduced as a framework for parameterized model checking of fault-tolerant distributed algorithms. This application domain suggested natural constraints on the automata structure, and a specific form of acceleration, called single-rule acceleration: consecutive occurrences of the same automaton rule are executed as a single transition in the counter system. These accelerated systems have bounded diameter, and can be verified in a complete manner with bounded model checking. We go beyond the original domain, and investigate extensions of threshold automata: non-linear guards, increments and decrements of shared variables, increments of shared variables within loops, etc., and show that the bounded diameter property holds for several extensions. Finally, we put single-rule acceleration in the scope of flat counter automata: although increments in loops may break the bounded diameter property, the corresponding counter automaton is flattable, and reachability can be verified using more permissive forms of acceleration.

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Jure Kukovec, Igor Konnov, and Josef Widder. Reachability in Parameterized Systems: All Flavors of Threshold Automata. In 29th International Conference on Concurrency Theory (CONCUR 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 118, pp. 19:1-19:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{kukovec_et_al:LIPIcs.CONCUR.2018.19,
  author =	{Kukovec, Jure and Konnov, Igor and Widder, Josef},
  title =	{{Reachability in Parameterized Systems: All Flavors of Threshold Automata}},
  booktitle =	{29th International Conference on Concurrency Theory (CONCUR 2018)},
  pages =	{19:1--19:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-087-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{118},
  editor =	{Schewe, Sven and Zhang, Lijun},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2018.19},
  URN =		{urn:nbn:de:0030-drops-95578},
  doi =		{10.4230/LIPIcs.CONCUR.2018.19},
  annote =	{Keywords: threshold \& counter automata, parameterized verification, reachability}
}

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Reachability in Parameterized Systems: All Flavors of Threshold Automata

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