The Pumping Lemma for Well-Nested Multiple Context-Free Languages

  • Authors:
  • Makoto Kanazawa

  • Affiliations:
  • National Institute of Informatics,

  • Venue:
  • DLT '09 Proceedings of the 13th International Conference on Developments in Language Theory
  • Year:
  • 2009

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Abstract

Seki et al. (1991) proved a rather weak pumping lemma for multiple context-free languages, which says that any infinite m-multiple context-free language contains a string that is pumpable at some 2m substrings. We prove a pumping lemma of the usual universal form for the subclass consisting of well-nested multiple context-free languages. This is the same class of languages generated by non-duplicating macro grammars and by coupled-context-free grammars.