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Streamability of Nested Word Transductions

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Abstract

We consider the problem of evaluating in streaming (i.e. in a single left-to-right pass) a nested word transduction with a limited amount of memory. A transduction T is said to be height bounded memory (HBM) if it can be evaluated with a memory that depends only on the size of T and on the height of the input word. We show that it is decidable in coNPTime for a nested word transduction defined by a visibly pushdown transducer (VPT), if it is HBM. In this case, the required amount of memory may depend exponentially on the height of the word. We exhibit a sufficient, decidable condition for a VPT to be evaluated with a memory that depends quadratically on the height of the word. This condition defines a class of transductions that strictly contains all determinizable VPTs.

BibTeX - Entry

@InProceedings{filiot_et_al:LIPIcs:2011:3352,
  author =	{Emmanuel Filiot and Olivier Gauwin and Pierre-Alain Reynier and Fr{\'e}d{\'e}ric Servais},
  title =	{{Streamability of Nested Word Transductions}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)},
  pages =	{312--324},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-34-7},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{13},
  editor =	{Supratik Chakraborty and Amit Kumar},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2011/3352},
  URN =		{urn:nbn:de:0030-drops-33523},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2011.312},
  annote =	{Keywords: nested word, visibly pushdown transducer, streaming, XML}
}

Keywords: nested word, visibly pushdown transducer, streaming, XML
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)
Issue date: 2011
Date of publication: 2011


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