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DOI: 10.4230/LIPIcs.ICALP.2020.141

Bisimulation Equivalence of Pushdown Automata Is Ackermann-Complete

Authors: Wenbo Zhang, Qiang Yin, Huan Long, and Xian Xu

Published in: LIPIcs, Volume 168, 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)

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.

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Wenbo Zhang, Qiang Yin, Huan Long, and Xian Xu. Bisimulation Equivalence of Pushdown Automata Is Ackermann-Complete. In 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 168, pp. 141:1-141:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{zhang_et_al:LIPIcs.ICALP.2020.141,
  author =	{Zhang, Wenbo and Yin, Qiang and Long, Huan and Xu, Xian},
  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 =	{Czumaj, Artur and Dawar, Anuj and Merelli, Emanuela},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2020.141},
  URN =		{urn:nbn:de:0030-drops-125482},
  doi =		{10.4230/LIPIcs.ICALP.2020.141},
  annote =	{Keywords: PDA, Bisimulation, Equivalence checking}
}

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Bisimulation Equivalence of Pushdown Automata Is Ackermann-Complete

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