Regular Resynchronizability of Origin Transducers Is Undecidable.

Denis Kuperberg, Jan Martens

Research output: Contribution to conferencePaper


We study the relation of containment up to unknown regular resynchronization between two-way non-deterministic transducers. We show that it constitutes a preorder, and that the corresponding equivalence relation is properly intermediate between origin equivalence and classical equivalence. We give a syntactical characterization for containment of two transducers up to resynchronization, and use it to show that this containment relation is undecidable already for one-way non-deterministic transducers, and for simple classes of resynchronizations. This answers the open problem stated in recent works, asking whether this relation is decidable for two-way non-deterministic transducers.

Original languageEnglish
Publication statusPublished - 1 Aug 2020

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  • MSO
  • One-way
  • Origin
  • Resynchronisation
  • Transducers
  • Two-way
  • Undecidability

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