具有反转的公式的回避依据
Avoidance bases for formulas with reversal
摘要:
为了研究具有高可避免指数的反转公式,我们找到了$n$ -具有$n\in\{1,2,3\}$反转公式的避免基。我们证明,有一个独特的公式与逆转在这三个基地的最高可避免性指数$n+2$ ;这些公式是$xx$,$xyx\cdot y^R$,和$xyzx\cdot y^R\cdot z^R$,这属于一个无限的家庭的公式逆转,一直是作者最近的研究课题。
英文摘要:
In the interest of studying formulas with reversal of high avoidability index, we find $n$-avoidance bases for formulas with reversal for $n\in\{1,2,3\}$. We demonstrate that there is a unique formula with reversal in each of these three bases of highest avoidability index $n+2$; these formulas are $xx$, $xyx\cdot y^R$, and $xyzx\cdot y^R\cdot z^R$, which belong to an infinite family of formulas with reversal that has been the subject of recent study by the authors.
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