License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
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DOI: 10.4230/LIPIcs.MFCS.2019.62
URN: urn:nbn:de:0030-drops-110066
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Czerwinski, Wojciech ; Lasota, Slawomir ; Löding, Christof ; Piórkowski, Radoslaw

New Pumping Technique for 2-Dimensional VASS

LIPIcs-MFCS-2019-62.pdf (0.5 MB)


We propose a new pumping technique for 2-dimensional vector addition systems with states (2-VASS) building on natural geometric properties of runs. We illustrate its applicability by reproving an exponential bound on the length of the shortest accepting run, and by proving a new pumping lemma for languages of 2-VASS. The technique is expected to be useful for settling questions concerning languages of 2-VASS, e.g., for establishing decidability status of the regular separability problem.

BibTeX - Entry

  author =	{Wojciech Czerwinski and Slawomir Lasota and Christof L{\"o}ding and Radoslaw Pi{\'o}rkowski},
  title =	{{New Pumping Technique for 2-Dimensional VASS}},
  booktitle =	{44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)},
  pages =	{62:1--62:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-117-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{138},
  editor =	{Peter Rossmanith and Pinar Heggernes and Joost-Pieter Katoen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-110066},
  doi =		{10.4230/LIPIcs.MFCS.2019.62},
  annote =	{Keywords: vector addition systems with states, pumping, decidability}

Keywords: vector addition systems with states, pumping, decidability
Collection: 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)
Issue Date: 2019
Date of publication: 20.08.2019

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