Algebraic Elimination of epsilon-transitions

Computer Science – Symbolic Computation

Scientific paper

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13 decembre 2004

Scientific paper

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.

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