On the syntactic complexity of tree series
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 2, pp. 257-279.

We display a complexity notion based on the syntax of a tree series which yields two distinct hierarchies, one within the class of recognizable tree series and another one in the class of non-recognizable tree series.

DOI : 10.1051/ita/2010014
Classification : 68Q01, 68Q15
Mots-clés : tree series, syntactic complexity, recognizability 
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Bozapalidis, Symeon; Kalampakas, Antonios. On the syntactic complexity of tree series. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 2, pp. 257-279. doi : 10.1051/ita/2010014. http://www.numdam.org/articles/10.1051/ita/2010014/

[1] J. Berstel and C. Reutenauer, Recognizable formal power series on trees. Theoret. Comput. Sci. 18 (1982) 115-148. | Zbl

[2] S. Bozapalidis, Effective construction of the syntactic algebra of a recognizable series on trees. Acta Informatica 28 (1991) 351-363. | Zbl

[3] S. Bozapalidis and A. Alexandrakis, Représentations Matricielles des Séries d'Arbres Reconnaissables. Theor. Inf. Appl. 23 (1989) 449-459. | Numdam | Zbl

[4] S. Bozapalidis and O.L. Bozapalidou, The rank of a formal tree power series. Theoret. Comput. Sci. 27 (1983) 211-215. | Zbl

[5] S. Bozapalidis and A. Kalampakas, Recognizability of graph and pattern languages. Acta Informatica 42 (2006) 553-581. | Zbl

[6] S. Bozapalidis and A. Kalampakas, On the Complexity of the Syntax of Tree Languages, Proceedings of the 3rd International Conference of Algebraic Informatics, CAI09. Lect. Notes Comput. Sci. 5725 (2009) 189-203.

[7] F. Gécseg and M. Steinby, Tree Automata. Akademiai Kiado, Budapest (1984). | Zbl

[8] A. Kalampakas, The Syntactic Complexity of Eulerian Graphs, Proceedings of the 2nd International Conference of Algebraic Informatics, CAI07. Lect. Notes Comput. Sci. 4728 (2007) 208-217. | Zbl

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