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Existence of finite test-sets for k-power-freeness of uniform morphisms

Gwénaël Richomme·Francis Wlazinski
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Abstract

A challenging problem is to find an algorithm to decide whether a morphism is k-power-free. We provide such an algorithm when k >= 3 for uniform morphisms showing that in such a case, contrarily to the general case, there exist finite test-sets for k-power-freeness.

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Gwénaël Richomme, Francis Wlazinski. 2005-12-13. Existence of finite test-sets for k-power-freeness of uniform morphisms. https://arxiv.org/abs/cs/0512051

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