Algebraic Elimination of epsilon-transitions

Gérard Duchamp (1, 2) , Hatem Hadj Kacem (1) , Éric Laugerotte (1)

1 LIFAR - Laboratoire d'informatique fondamentale et appliquée de Rouen
2 LIPN - Laboratoire d'Informatique de Paris-Nord

We present here algebraic formulas associating a k-automaton to a k-epsilon-automaton. The existence depends on the definition of the star of matrices and of elements in the semiring k. For this reason, we present the theorem which allows the transformation of k-epsilon-automata into k-automata. The two automata have the same behaviour.

Mots clés: star of matrices; Automata with multiplicities; epsilon-transitions; behaviour; star of matrices.

Domaines: Calcul formel [cs.SC]; Algorithme et structure de données [cs.DS]

Gérard Duchamp, Hatem Hadj Kacem, Éric Laugerotte. Algebraic Elimination of epsilon-transitions. 2004. ⟨hal-00001038v2⟩