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DOI: 10.4230/LIPIcs.ICALP.2018.137
URN: urn:nbn:de:0030-drops-91419
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9141/
Place, Thomas ; Zeitoun, Marc
Separating Without Any Ambiguity
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Abstract
We investigate a standard operator on classes of languages: unambiguous polynomial closure. We show that if C is a class of regular languages having some mild properties, the membership problem for its unambiguous polynomial closure UPol(C) reduces to the same problem for C. We give a new, self-contained and elementary proof of this result. We also show that unambiguous polynomial closure coincides with alternating left and right deterministic closure. Finally, if additionally C is finite, we show that the separation and covering problems are decidable for UPol(C).
BibTeX - Entry
@InProceedings{place_et_al:LIPIcs:2018:9141,
author = {Thomas Place and Marc Zeitoun},
title = {{Separating Without Any Ambiguity}},
booktitle = {45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)},
pages = {137:1--137:14},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-076-7},
ISSN = {1868-8969},
year = {2018},
volume = {107},
editor = {Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2018/9141},
URN = {urn:nbn:de:0030-drops-91419},
doi = {10.4230/LIPIcs.ICALP.2018.137},
annote = {Keywords: Regular languages, separation problem, decidable characterizations}
}
| Keywords: | Regular languages, separation problem, decidable characterizations | |
| Seminar: | 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018) | |
| Issue date: | 2018 | |
| Date of publication: | 04.07.2018 |
