Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Zhang, Wenbo; Yin, Qiang; Long, Huan; Xu, Xian https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-125482
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Bisimulation Equivalence of Pushdown Automata Is Ackermann-Complete

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Abstract

Deciding bisimulation equivalence of two pushdown automata is one of the most fundamental problems in formal verification. Though Sénizergues established decidability of this problem in 1998, it has taken a long time to understand its complexity: the problem was proven to be non-elementary in 2013, and only recently, Jančar and Schmitz showed that it has an Ackermann upper bound. We improve the lower bound to Ackermann-hard, and thus close the complexity gap.

BibTeX - Entry

@InProceedings{zhang_et_al:LIPIcs:2020:12548,
  author =	{Wenbo Zhang and Qiang Yin and Huan Long and Xian Xu},
  title =	{{Bisimulation Equivalence of Pushdown Automata Is Ackermann-Complete}},
  booktitle =	{47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)},
  pages =	{141:1--141:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-138-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{168},
  editor =	{Artur Czumaj and Anuj Dawar and Emanuela Merelli},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12548},
  URN =		{urn:nbn:de:0030-drops-125482},
  doi =		{10.4230/LIPIcs.ICALP.2020.141},
  annote =	{Keywords: PDA, Bisimulation, Equivalence checking}
}

Keywords: PDA, Bisimulation, Equivalence checking
Seminar: 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)
Issue date: 2020
Date of publication: 29.06.2020


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