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DOI: 10.4230/LIPIcs.MFCS.2020.58
URN: urn:nbn:de:0030-drops-127255
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12725/
Kuperberg, Denis ; Martens, Jan
Regular Resynchronizability of Origin Transducers Is Undecidable
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Abstract
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.
BibTeX - Entry
@InProceedings{kuperberg_et_al:LIPIcs:2020:12725,
author = {Denis Kuperberg and Jan Martens},
title = {{Regular Resynchronizability of Origin Transducers Is Undecidable}},
booktitle = {45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)},
pages = {58:1--58:14},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-159-7},
ISSN = {1868-8969},
year = {2020},
volume = {170},
editor = {Javier Esparza and Daniel Kr{\'a}ľ},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2020/12725},
URN = {urn:nbn:de:0030-drops-127255},
doi = {10.4230/LIPIcs.MFCS.2020.58},
annote = {Keywords: transducers, origin, resynchronisation, MSO, one-way, two-way, undecidability}
}
| Keywords: | transducers, origin, resynchronisation, MSO, one-way, two-way, undecidability | |
| Seminar: | 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020) | |
| Issue date: | 2020 | |
| Date of publication: | 18.08.2020 |
