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Aperiodic two-way transducers and FO-transductions

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 نشر من قبل Luc Dartois
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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Deterministic two-way transducers on finite words have been shown by Engelfriet and Hoogeboom to have the same expressive power as MSO-transductions. We introduce a notion of aperiodicity for these transducers and we show that aperiodic transducers correspond exactly to FO-transductions. This lifts to transducers the classical equivalence for languages between FO-definability, recognition by aperiodic monoids and acceptance by counter-free automata.



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