Classifying Non-periodic Sequences by Permutation Transducers

  • Hans ZantemaEmail author
  • Wieb Bosma
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10396)


Transducers order infinite sequences into natural classes, but permutation transducers provide a finer classification, respecting certain changes to finite segments. We investigate this hierarchy for non-periodic sequences over \(\{0,1\}\) in which the groups of 0s and 1s grow according to simple functions like polynomials. In this hierarchy we find infinite strictly ascending chains of sequences, all being equivalent with respect to ordinary transducers.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Computer ScienceTU EindhovenEindhovenThe Netherlands
  2. 2.Radboud University NijmegenNijmegenThe Netherlands
  3. 3.Centrum voor Wiskunde en InformaticaAmsterdamThe Netherlands

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