# Construction of tree automata from regular expressions

Dietrich Kuske; Ingmar Meinecke

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2011)

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

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topKuske, Dietrich, and Meinecke, Ingmar. "Construction of tree automata from regular expressions." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 45.3 (2011): 347-370. <http://eudml.org/doc/273037>.

@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 - Informatique Théorique et Applications},

keywords = {trees; automata; regular expressions; partial derivatives; tree automata; tree languages; synthesis of automata},

language = {eng},

number = {3},

pages = {347-370},

publisher = {EDP-Sciences},

title = {Construction of tree automata from regular expressions},

url = {http://eudml.org/doc/273037},

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 - Informatique Théorique et Applications

PY - 2011

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/273037

ER -

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