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arxiv: cs/0512051 · v1 · pith:Q7L3RYONnew · submitted 2005-12-13 · 💻 cs.DM

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

classification 💻 cs.DM
keywords algorithmcasefinitek-power-freenessmorphismstest-setsuniformchallenging
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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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