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Separating Without Any Ambiguity

Authors Thomas Place, Marc Zeitoun

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LIPIcs.ICALP.2018.137.pdf
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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).

Cite AsGet BibTex

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

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).

Subject Classification

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

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