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DOI: 10.4230/LIPIcs.FSTTCS.2011.140

Petri Net Reachability Graphs: Decidability Status of FO Properties

Authors: Philippe Darondeau, Stéphane Demri, Roland Meyer, and Christophe Morvan

Published in: LIPIcs, Volume 13, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)

Abstract

We investigate the decidability and complexity status of model-checking problems on unlabelled reachability graphs of Petri nets by considering first-order, modal and pattern-based languages without labels on transitions or atomic propositions on markings. We consider several parameters to separate decidable problems from undecidable ones. Not only are we able to provide precise borders and a systematic analysis, but we also demonstrate the robustness of our proof techniques.

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Philippe Darondeau, Stéphane Demri, Roland Meyer, and Christophe Morvan. Petri Net Reachability Graphs: Decidability Status of FO Properties. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 13, pp. 140-151, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{darondeau_et_al:LIPIcs.FSTTCS.2011.140,
  author =	{Darondeau, Philippe and Demri, St\'{e}phane and Meyer, Roland and Morvan, Christophe},
  title =	{{Petri Net Reachability Graphs: Decidability Status of FO Properties}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)},
  pages =	{140--151},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-34-7},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{13},
  editor =	{Chakraborty, Supratik and Kumar, Amit},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2011.140},
  URN =		{urn:nbn:de:0030-drops-33563},
  doi =		{10.4230/LIPIcs.FSTTCS.2011.140},
  annote =	{Keywords: Petri nets, First order logic, Reachability graph}
}

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Petri Net Reachability Graphs: Decidability Status of FO Properties

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