Conjugacy and Equivalence of Weighted Automata and Functional Transducers

@inproceedings{Bal2006ConjugacyAE,
  title={Conjugacy and Equivalence of Weighted Automata and Functional Transducers},
  author={Marie-Pierre B{\'e}al and Sylvain Lombardy and Jacques Sakarovitch},
  booktitle={CSR},
  year={2006}
}
We show that two equivalent K-automata are conjugate to a third one, when K is equal to B, N, Z, or any (skew) field and that the same holds true for functional tranducers as well. 
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