License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSTTCS.2012.160
URN: urn:nbn:de:0030-drops-38583
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2012/3858/
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Broadbent, Christopher ; Göller, Stefan

On Bisimilarity of Higher-Order Pushdown Automata: Undecidability at Order Two

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Abstract

We show that bisimulation equivalence of order-two pushdown automata is undecidable. Moreover, we study the lower order problem of higher-order pushdown automata, which asks, given an order-k pushdown automaton and some k'<k, to determine if there exists a reachable configuration that is bisimilar to some order-k' pushdown automaton. We show that the lower order problem is undecidable for each k >= 2 even when the input k-PDA is deterministic and real-time.

BibTeX - Entry

@InProceedings{broadbent_et_al:LIPIcs:2012:3858,
  author =	{Christopher Broadbent and Stefan G{\"o}ller},
  title =	{{On Bisimilarity of Higher-Order Pushdown Automata: Undecidability at Order Two}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012) },
  pages =	{160--172},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-47-7},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{18},
  editor =	{Deepak D'Souza and Telikepalli Kavitha and Jaikumar Radhakrishnan},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2012/3858},
  URN =		{urn:nbn:de:0030-drops-38583},
  doi =		{10.4230/LIPIcs.FSTTCS.2012.160},
  annote =	{Keywords: Bisimulation equivalence, Higher-order pushdown automata}
}

Keywords: Bisimulation equivalence, Higher-order pushdown automata
Collection: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012)
Issue Date: 2012
Date of publication: 14.12.2012

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