Fife's theorem revisited

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Abstract

We give another proof of a theorem of Fife - understood broadly as providing a finite automaton that gives a complete description of all infinite binary overlap-free words. Our proof is significantly simpler than those in the literature. As an application we give a complete characterization of the overlap-free words that are 2-automatic. © 2011 Springer-Verlag.

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Shallit, J. (2011). Fife’s theorem revisited. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6795 LNCS, pp. 397–405). https://doi.org/10.1007/978-3-642-22321-1_34

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