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Communication Dans Un Congrès Année : 2020

Regular resynchronizability of origin transducers is undecidable

Résumé

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.
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Dates et versions

hal-03046161 , version 1 (08-12-2020)

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Denis Kuperberg, Jan Martens. Regular resynchronizability of origin transducers is undecidable. MFCS, Aug 2020, Prague, Czech Republic. ⟨10.4230/LIPIcs.MFCS.2020.51⟩. ⟨hal-03046161⟩
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