周期性迭代的态射

Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) Pub Date : 2012-07-10 DOI:10.1145/2603088.2603152

J. Endrullis, D. Hendriks

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引用次数: 4

摘要

我们研究了周期迭代态射的计算能力，也称为具有周期控制的D0L系统;我们简称它们为PerD0L系统。这些系统产生了一类单侧无限序列，称为PerD0L词。我们构建了一个具有指数级子词复杂度的PerD0L词，从而回答了Lepistö[23]提出的关于此类词是否存在的问题。我们解决了另一个关于PerD0L词的一阶理论的可决性的开放问题[24];我们表明，某个字母是否出现在PerD0L单词中已经无法确定。

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On periodically iterated morphisms

We investigate the computational power of periodically iterated morphisms, also known as D0L systems with periodic control; we call them PerD0L systems for short. These systems give rise to a class of one-sided infinite sequences, called PerD0L words. We construct a PerD0L word with exponential subword complexity, thereby answering a question raised by Lepistö [23] on the existence of such words. We solve another open problem concerning the decidability of the first-order theories of PerD0L words [24]; we show it is already undecidable whether a certain letter occurs in a PerD0L word.

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Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)

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