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start [2024/04/18 13:32] – 139.124.146.3start [2024/04/30 14:50] – 139.124.146.3
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-**May 14 2024: [[https://dblp.org/pid/10/10715.html|Josef Rukavicka]]**+**May 14 2024: [[https://dblp.org/pid/10/10715.html|Josef Rukavicka]]** //Restivo Salemi property for $\alpha$-power free languages with $\alpha \geq 5$ and $k \geq 3$ letters// 
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 +In 2009, Shur published the following conjecture: Let $L$ be a power-free language and let $e(L)\subseteq L$ be the set of words of $L$ that can be extended to a bi-infinite word respecting the given power-freeness. If $u,v \in e(L)$ then $uwv \in e(L)$ for some word $w$. Let $L_{k,\alpha}$ denote an $\alpha$-power free language over an alphabet with $k$ letters, where $\alpha$ is a positive rational number and $k$ is positive integer. We prove the conjecture for the languages $L_{k,\alpha}$, where $\alpha\geq 5$ and $k \geq 3$. 
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 +https://arxiv.org/abs/2312.10061
  
 **May 28 2024: [[https://www.lirmm.fr/~ochem/|Pascal Ochem]]** **May 28 2024: [[https://www.lirmm.fr/~ochem/|Pascal Ochem]]**