Constructing an even grammar from a 2-element sample

  • Authors:
  • Margaret Francel;David J. John

  • Affiliations:
  • The Citadel, Charleston, South Carolina;Wake Forest University, Winston-Salem, North Carolina

  • Venue:
  • Proceedings of the 43rd annual Southeast regional conference - Volume 1
  • Year:
  • 2005

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Abstract

This paper shows that for sample set size two, skeleton based algorithms for inferring even linear grammars either produce a language of the form {w1w2nw3w4nw5 | n ε Z+}. or a language that contains only the original samples. The proof uses the fact that the sample set size is two to create a template for the transitive closure used in generating the inferred grammar.