License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSTTCS.2012.211
URN: urn:nbn:de:0030-drops-38604
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2012/3860/
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Bozzelli, Laura ; Sánchez, César

Visibly Rational Expressions

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Abstract

Regular Expressions (RE) are an algebraic formalism for expressing regular languages, widely used in string search and as a specification language in verification. In this paper we introduce and investigate Visibly Rational Expressions (VRE), an extension of RE for the well-known class of Visibly Pushdown Languages (VPL). We show that VRE capture the class of VPL. Moreover, we identify an equally expressive fragment of VRE which admits a quadratic time compositional translation into the automata acceptors of VPL. We also prove that, for this fragment, universality, inclusion and language equivalence are EXPTIME-complete. Finally, we provide an extension of VRE for VPL over infinite words.

BibTeX - Entry

@InProceedings{bozzelli_et_al:LIPIcs:2012:3860,
  author =	{Laura Bozzelli and C{\'e}sar S{\'a}nchez},
  title =	{{Visibly Rational Expressions}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012) },
  pages =	{211--223},
  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/2012/3860},
  URN =		{urn:nbn:de:0030-drops-38604},
  doi =		{10.4230/LIPIcs.FSTTCS.2012.211},
  annote =	{Keywords: Visibly Pushdown Languages, Context-free specifications, Regular expressions, Algebraic characterization}
}

Keywords: Visibly Pushdown Languages, Context-free specifications, Regular expressions, Algebraic characterization
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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