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Automates boustrophédon et mots infinis. (French) Zbl 0571.68074

We show that the \(\omega\)-language accepted by a two-way finite automaton is regular. The result is effective.

MSC:

68Q45 Formal languages and automata
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References:

[1] Arnold, A., Une représentation canonique des ω-langages rationnels, ()
[2] Eilenberg, S., ()
[3] Nivat, M., Infinite words, infinite trees, infinite computations, Mathematical centre tract, 199, 1-52, (1979) · Zbl 0423.68012
[4] Pécuchet, J.-P., Automates boustrophédon, semi-groupe de birget et monoïde inversif libre, RAIRO informatique, (1985), à paraitre · Zbl 0604.68094
[5] Shepherdson, J.C., The reduction of two-way automata to one-way automata, IBM J. res. develop., 3, 198-200, (1959) · Zbl 0158.25601
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