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Construction of tree automata from regular expressions

Published online by Cambridge University Press:  22 August 2011

Dietrich Kuske  and
Ingmar Meinecke
Dietrich Kuske
Affiliation:
Fachgebiet Theoretische Informatik, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, Germany. dietrich.kuske@tu-ilmenau.de
Ingmar Meinecke
Affiliation:
Institut für Informatik, Universität Leipzig, PF 100920, 04009 Leipzig, Germany. meinecke@informatik.uni-leipzig.de
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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.

Keywords

Treesautomataregular expressionspartial derivatives
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 45 , Issue 3 , July 2011 , pp. 347 - 370
Copyright
© EDP Sciences, 2011

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