Construction of tree automata from regular expressions

Dietrich Kuske; Ingmar Meinecke

RAIRO - Theoretical Informatics and Applications (2011)

  • Volume: 45, Issue: 3, page 347-370
  • ISSN: 0988-3754

Abstract

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Since recognizable tree languages are closed under the rational operations, every regular tree expression denotes a recognizable tree language. We provide an alternative proof to this fact that results in smaller tree automata. To this aim, we transfer Antimirov's partial derivatives from regular word expressions to regular tree expressions. For an analysis of the size of the resulting automaton as well as for algorithmic improvements, we also transfer the methods of Champarnaud and Ziadi from words to trees.

How to cite

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Kuske, Dietrich, and Meinecke, Ingmar. "Construction of tree automata from regular expressions." RAIRO - Theoretical Informatics and Applications 45.3 (2011): 347-370. <http://eudml.org/doc/222013>.

@article{Kuske2011,
abstract = { Since recognizable tree languages are closed under the rational operations, every regular tree expression denotes a recognizable tree language. We provide an alternative proof to this fact that results in smaller tree automata. To this aim, we transfer Antimirov's partial derivatives from regular word expressions to regular tree expressions. For an analysis of the size of the resulting automaton as well as for algorithmic improvements, we also transfer the methods of Champarnaud and Ziadi from words to trees. },
author = {Kuske, Dietrich, Meinecke, Ingmar},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Trees; automata; regular expressions; partial derivatives; tree automata; tree languages; synthesis of automata},
language = {eng},
month = {9},
number = {3},
pages = {347-370},
publisher = {EDP Sciences},
title = {Construction of tree automata from regular expressions},
url = {http://eudml.org/doc/222013},
volume = {45},
year = {2011},
}

TY - JOUR
AU - Kuske, Dietrich
AU - Meinecke, Ingmar
TI - Construction of tree automata from regular expressions
JO - RAIRO - Theoretical Informatics and Applications
DA - 2011/9//
PB - EDP Sciences
VL - 45
IS - 3
SP - 347
EP - 370
AB - Since recognizable tree languages are closed under the rational operations, every regular tree expression denotes a recognizable tree language. We provide an alternative proof to this fact that results in smaller tree automata. To this aim, we transfer Antimirov's partial derivatives from regular word expressions to regular tree expressions. For an analysis of the size of the resulting automaton as well as for algorithmic improvements, we also transfer the methods of Champarnaud and Ziadi from words to trees.
LA - eng
KW - Trees; automata; regular expressions; partial derivatives; tree automata; tree languages; synthesis of automata
UR - http://eudml.org/doc/222013
ER -

References

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