English

On the context-freeness of the set of words containing overlaps

Combinatorics 2009-03-29 v1 Formal Languages and Automata Theory

Abstract

We show that the set of binary words containing overlaps is not unambiguously context-free and that the set of ternary words containing overlaps is not context-free. We also show that the set of binary words that are not subwords of the Thue-Morse word is not unambiguously context-free.

Keywords

Cite

@article{arxiv.math/0610067,
  title  = {On the context-freeness of the set of words containing overlaps},
  author = {Narad Rampersad},
  journal= {arXiv preprint arXiv:math/0610067},
  year   = {2009}
}

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8 pages