Operational State Complexity of Deterministic Unranked Tree Automata

Autor:	Piao, Xiaoxue, Salomaa, Kai
Rok vydání:	2010
Předmět:	Computer Science - Formal Languages and Automata Theory
Zdroj:	EPTCS 31, 2010, pp. 149-158
Druh dokumentu:	Working Paper
DOI:	10.4204/EPTCS.31.17
Popis:	We consider the state complexity of basic operations on tree languages recognized by deterministic unranked tree automata. For the operations of union and intersection the upper and lower bounds of both weakly and strongly deterministic tree automata are obtained. For tree concatenation we establish a tight upper bound that is of a different order than the known state complexity of concatenation of regular string languages. We show that (n+1) ( (m+1)2^n-2^(n-1) )-1 vertical states are sufficient, and necessary in the worst case, to recognize the concatenation of tree languages recognized by (strongly or weakly) deterministic automata with, respectively, m and n vertical states. Comment: In Proceedings DCFS 2010, arXiv:1008.1270
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1008.1657 Zobrazit plný text záznamu View this record from Arxiv