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k-Bounded Petri Net Synthesis from Modal Transition Systems

Authors: Uli Schlachter and Harro Wimmel

Published in: LIPIcs, Volume 85, 28th International Conference on Concurrency Theory (CONCUR 2017)


Abstract
We present a goal-oriented algorithm that can synthesise k-bounded Petri nets (k in N^+) from hyper modal transition systems (hMTS), an extension of labelled transition systems with optional and required behaviour. The algorithm builds a potential reachability graph of a Petri net from scratch, extending it stepwise with required behaviour from the given MTS and over-approximating the result to a new valid reachability graph. Termination occurs if either the MTS yields no additional requirements or the resulting net of the second step shows a conflict with the behaviour allowed by the MTS, making it non-sythesisable.

Cite as

Uli Schlachter and Harro Wimmel. k-Bounded Petri Net Synthesis from Modal Transition Systems. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 6:1-6:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{schlachter_et_al:LIPIcs.CONCUR.2017.6,
  author =	{Schlachter, Uli and Wimmel, Harro},
  title =	{{k-Bounded Petri Net Synthesis from Modal Transition Systems}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{6:1--6:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Meyer, Roland and Nestmann, Uwe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2017.6},
  URN =		{urn:nbn:de:0030-drops-77802},
  doi =		{10.4230/LIPIcs.CONCUR.2017.6},
  annote =	{Keywords: Modal transition system, bounded Petri net, synthesis}
}
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