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Context-freeness of the power of context-free languages is undecidable

  • The power of a language L is the set of all powers of the words in L. In this paper, the following decision problem is investigated. Given a context-free language L, is the power of L context-free? We show that this problem is decidable for languages over unary alphabets, but it is undecidable whenever languages over alphabets with at least two letters are considered. (C) 2003 Elsevier B.V. All rights reserved

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Metadaten
Author details:Henning BordihnORCiD
ISSN:0304-3975
Publication type:Article
Language:English
Year of first publication:2004
Publication year:2004
Release date:2017/03/24
Source:Theoretical Computer Science. - ISSN 0304-3975. - 314 (2004), 3, S. 445 - 449
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Informatik und Computational Science
Peer review:Referiert
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Informatik
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