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Separating Without Any Ambiguity

Authors Thomas Place, Marc Zeitoun

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Subject Classification

ACM Subject Classification
  • Theory of computation → Regular languages
Keywords
  • Regular languages
  • separation problem
  • decidable characterizations

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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).

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Thomas Place and Marc Zeitoun. Separating Without Any Ambiguity. In 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 107, pp. 137:1-137:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.ICALP.2018.137

Author Details

Thomas Place
  • LaBRI, University of Bordeaux and IUF, France
Marc Zeitoun
  • LaBRI, University of Bordeaux, France

Funding

Both authors acknowledge support from the DeLTA project (ANR-16-CE40-0007).

References

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