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arXiv · 1407.5841

Mechanical Proofs of Properties of the Tribonacci Word

Hamoon Mousavi·Jeffrey Shallit
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Abstract

We implement a decision procedure for answering questions about a class of infinite words that might be called (for lack of a better name) "Tribonacci-automatic". This class includes, for example, the famous Tribonacci word T = 0102010010202 ..., the fixed point of the morphism 0 -> 01, 1 -> 02, 2 -> 0. We use it to reprove some old results about the Tribonacci word from the literature, such as assertions about the occurrences in T of squares, cubes, palindromes, and so forth. We also obtain some new results.

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Hamoon Mousavi, Jeffrey Shallit. 2014-07-22. Mechanical Proofs of Properties of the Tribonacci Word. https://arxiv.org/abs/1407.5841

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