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URN: urn:nbn:de:0030-drops-24801
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Collapsible Pushdown Graphs of Level 2 are Tree-Automatic

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Abstract

We show that graphs generated by collapsible pushdown systems of level $2$ are tree-automatic. Even when we allow $\varepsilon$-contractions and add a reachability predicate (with regular constraints) for pairs of configurations, the structures remain tree-automatic. Hence, their \FO theories are decidable, even when expanded by a reachability predicate. As a corollary, we obtain the tree-automaticity of the second level of the Caucal-hierarchy.

BibTeX - Entry

@InProceedings{kartzow:LIPIcs:2010:2480,
  author =	{Alexander Kartzow},
  title =	{{Collapsible Pushdown Graphs of Level 2 are Tree-Automatic}},
  booktitle =	{27th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{501--512},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-16-3},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{5},
  editor =	{Jean-Yves Marion and Thomas Schwentick},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2010/2480},
  URN =		{urn:nbn:de:0030-drops-24801},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.STACS.2010.2480},
  annote =	{Keywords: Tree-automatic structures, collapsible pushdown graphs,   collapsible pushdown systems,    first-order decidability, reachability}
}

Keywords: Tree-automatic structures, collapsible pushdown graphs, collapsible pushdown systems, first-order decidability, reachability
Seminar: 27th International Symposium on Theoretical Aspects of Computer Science
Issue date: 2010
Date of publication: 2010


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