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arXiv · 2103.15651

Aperiodic two-way transducers and FO-transductions

Olivier Carton·Luc Dartois
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Abstract

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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Olivier Carton, Luc Dartois. 2021-03-29. Aperiodic two-way transducers and FO-transductions. https://arxiv.org/abs/2103.15651

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