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Computing maximal Kleene closures that are embeddable in a given subword-closed language

机译:计算可嵌入给定子词封闭语言的最大Kleene闭包

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摘要

Motivated by certain coding techniques for reliable DNA computing, we consider the problem of characterizing nontrivial languages D that are maximal with the property that D is contained in the subword closure of a given set S of words of some fixed length k. This closure is simply the set of all words whose sub-words of length k must be in S. We provide a deep structural characterization of these languages D, which leads to polynomial time algorithms for computing such languages.
机译:由于某些用于可靠的DNA计算的编码技术的推动,我们考虑了表征非平凡语言D的问题,该语言最大的特性是D包含在某个固定长度k的给定单词S的子单词闭包中。该闭包只是所有单词的集合,这些单词的长度为k的子单词必须在S中。我们提供了这些语言D的深入结构特征,这导致了用于计算此类语言的多项式时间算法。

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