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

2015/01/30 by Younes Guellouma, Guellouma, Younes, Ludovic Mignot +5
Computer Science · #FOS: Computer and information sciences #Formal Languages and Automata Theory (cs.FL) #cs.FL

paper · pdf · doi:10.48550/arxiv.1501.07686

arxiv created 2015/01/30 · arxiv updated 2015/02/02

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.

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