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

Published 2 Oct 2006 in math.CO and cs.FL | (0610067v1)

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.

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