Gérard Duchamp ; Hatem Hadj Kacem ; Eric Laugerotte - Algebraic Elimination of epsilon-transitions

dmtcs:358 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, Vol. 7 - https://doi.org/10.46298/dmtcs.358
Algebraic Elimination of epsilon-transitionsArticle

Authors: Gérard Duchamp 1; Hatem Hadj Kacem 2; Eric Laugerotte 2

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


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.

https://doi.org/10.46298/dmtcs.358
Source: HAL:hal-00003545v1
Volume: Vol. 7
Published on: January 1, 2005
Imported on: March 26, 2015
Keywords: [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC], [en] Star of matrices, k-epsilon-automata
Licence: Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)

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