Constructing Premaximal Binary Cube-free Words of Any Level

Published 18 Aug 2011 in cs.FL | (1108.3634v1)

Abstract: We study the structure of the language of binary cube-free words. Namely, we are interested in the cube-free words that cannot be infinitely extended preserving cube-freeness. We show the existence of such words with arbitrarily long finite extensions, both to one side and to both sides.

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