On context-free languages of scattered words

  • Authors:
  • Zoltan Ésik;Satoshi Okawa

  • Affiliations:
  • Dept. of Computer Science, University of Szeged, Hungary;School of Computer Science and Engineering, University of Aizu, Japan

  • Venue:
  • DLT'12 Proceedings of the 16th international conference on Developments in Language Theory
  • Year:
  • 2012

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Abstract

It is known that if a Büchi context-free language (BCFL) consists of scattered words, then there is an integer n, depending only on the language, such that the Hausdorff rank of each word in the language is bounded by n. Every BCFL is a Muller context-free language (MCFL). In the first part of the paper, we prove that an MCFL of scattered words is a BCFL iff the rank of every word in the language is bounded by an integer depending only on the language. Then we establish operational characterizations of the BCFLs of well-ordered and scattered or well-ordered words.