密集语言与非原始词

IF 0.3 Q4 COMPUTER SCIENCE, CYBERNETICS Acta Cybernetica Pub Date : 2022-03-01 DOI:10.14232/actacyb.293457

T. Koga

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引用次数: 0

摘要

在本文中，我们关注的是密集语言和非原始词。如果可以找到任何字符串作为L元素的子字符串，则称L语言是稠密的。2020年，Ryoma Syn'ya证明了任何具有正渐近密度的正则语言总是包含有限多个非原始词。由于正渐近密度意味着密度，所以很自然地会问他的结果是否可以推广到更广泛的一类稠密语言。在本文中，我们实际上得到了这样的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dense Languages and Non Primitive Words

In this paper, we are concerned with dense languages and non primitive words. A language L is said to be dense if any string can be found as a substring of element of L. In 2020, Ryoma Syn'ya proved that any regular language with positive asymptotic density always containsinfinitely many non-primitive words. Since positive asymptotic density implies density, it is natural to ask whether his result can be generalized for a wider class of dense languages. In this paper, we actually obtain such generalization.

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