Algebraic Elimination of epsilon-transitions
<|reference_start|>Algebraic Elimination of epsilon-transitions: 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.<|reference_end|>
@article{duchamp2004algebraic,
    title={Algebraic Elimination of epsilon-transitions},
    author={Gerard Duchamp (LIFAR, LIPN), Hatem Hadj Kacem (LIFAR), Eric
  Laugerotte (LIFAR)},
    journal={arXiv preprint arXiv:cs/0401012},
    year={2004},
    archivePrefix={arXiv},
    eprint={cs/0401012},
    primaryClass={cs.SC cs.DS}
}