【24h】

Words and Patterns

机译:文字和图案

获取原文

摘要

In this paper some new ideas, problems and results on patterns are proposed. In particular, motivated by questions concerning avoidability, we first study the set of binary patterns that can occur in one infinite binary word, comparing it with the set of factors of the word. This suggests a classification of infinite words in terms of the "difference" between the set of its patterns and the set of its factors. The fact that each factor in an infinite word can give rise to several distinct patterns leads to study the set of patterns of a single finite word. This set, endowed with a natural order relation, defines a poset: we investigate the relationships between the structure of such a poset and the combinatorial properties of the word. Finally we show that the set of patterns of the words in a regular language is a regular language too.
机译:本文提出了一些关于模式的新思想,新问题和新结果。特别地,受有关可避免性的问题的启发,我们首先研究一个无限的二进制单词中可能出现的二进制模式集,并将其与单词的因子集进行比较。这建议根据其模式集和其因素集之间的“差异”对无限词进行分类。无限词中的每个因子都可以产生几种不同的模式这一事实导致研究单个有限词的模式集。这个具有自然顺序关系的集合定义了一个位姿:我们研究了这种位姿的结构与单词的组合特性之间的关系。最后,我们证明了常规语言中的单词模式集也是常规语言。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号