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Algebraic Elimination of epsilon-transitions

Gerard Duchamp·Hatem Hadj Kacem·Eric Laugerotte
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Abstract

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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Gerard Duchamp, Hatem Hadj Kacem, Eric Laugerotte. 2004-12-13. Algebraic Elimination of epsilon-transitions. https://arxiv.org/abs/cs/0401012

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