English

Construction of rational expression from tree automata using a generalization of Arden's Lemma

Formal Languages and Automata Theory 2015-02-02 v1

Abstract

Arden's Lemma is a classical result in language theory allowing the computation of a rational expression denoting the language recognized by a finite string automaton. In this paper we generalize this important lemma to the rational tree languages. Moreover, we propose also a construction of a rational tree expression which denotes the accepted tree language of a finite tree automaton.

Keywords

Cite

@article{arxiv.1501.07686,
  title  = {Construction of rational expression from tree automata using a generalization of Arden's Lemma},
  author = {Younes Guellouma and Ludovic Mignot and Hadda Cherroun and Djelloul Ziadi},
  journal= {arXiv preprint arXiv:1501.07686},
  year   = {2015}
}