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

Mathematics – Combinatorics

Scientific paper

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8 pages

Scientific paper

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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