Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Maneth, Sebastian; Seidl, Helmut https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-125416
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When Is a Bottom-Up Deterministic Tree Translation Top-Down Deterministic?

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Abstract

We consider two natural subclasses of deterministic top-down tree-to-tree transducers, namely, linear and uniform-copying transducers. For both classes we show that it is decidable whether the translation of a transducer with look-ahead can be realized by a transducer without look-ahead. The transducers constructed in this way, may still make use of inspection, i.e., have an additional tree automaton restricting the domain. We provide a second procedure which decides whether inspection can be removed and if so, constructs an equivalent transducer without inspection. The construction relies on a fixpoint algorithm that determines inspection requirements and on dedicated earliest normal forms for linear as well as uniform-copying transducers which can be constructed in polynomial time. As a consequence, equivalence of these transducers can be decided in polynomial time. Applying these results to deterministic bottom-up transducers, we obtain that it is decidable whether or not their translations can be realized by deterministic uniform-copying top-down transducers without look-ahead (but with inspection) - or without both look-ahead and inspection.

BibTeX - Entry

@InProceedings{maneth_et_al:LIPIcs:2020:12541,
  author =	{Sebastian Maneth and Helmut Seidl},
  title =	{{When Is a Bottom-Up Deterministic Tree Translation Top-Down Deterministic?}},
  booktitle =	{47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)},
  pages =	{134:1--134:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-138-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{168},
  editor =	{Artur Czumaj and Anuj Dawar and Emanuela Merelli},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12541},
  URN =		{urn:nbn:de:0030-drops-125416},
  doi =		{10.4230/LIPIcs.ICALP.2020.134},
  annote =	{Keywords: Top-Down Tree Transducers, Earliest Transformation, Linear Transducers, Uniform-copying Transucers, Removal of Look-ahead, Removal of Inspection}
}

Keywords: Top-Down Tree Transducers, Earliest Transformation, Linear Transducers, Uniform-copying Transucers, Removal of Look-ahead, Removal of Inspection
Seminar: 47th International Colloquium on Automata, Languages, and Programming (ICALP 2020)
Issue date: 2020
Date of publication: 29.06.2020


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