Geodesic
Construction of tree automata from regular expressions
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) no. 3, pp. 347-370

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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.

DOI : 10.1051/ita/2011107
Classification : 68Q45
Keywords: trees, automata, regular expressions, partial derivatives 
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     title = {Construction of tree automata from regular expressions},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {347--370},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {3},
     year = {2011},
     doi = {10.1051/ita/2011107},
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     zbl = {1236.68173},
     language = {en},
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Kuske, Dietrich; Meinecke, Ingmar. Construction of tree automata from regular expressions. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) no. 3, pp. 347-370. doi: 10.1051/ita/2011107

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