论文标题

可决定性和k期限序列

Decidability and k-Regular Sequences

论文作者

Krenn, Daniel, Shallit, Jeffrey

论文摘要

在本文中,我们考虑了许多涉及k期限序列的自然决策问题。具体而言,它们源于增长率的下限和上限;在特别的界限中, - 图像, - 规律性(通过确定性有限自动机的识别性)和 - 因子,例如这种序列的正方形和文明。我们表明决策问题是不确定的。

In this paper we consider a number of natural decision problems involving k-regular sequences. Specifically, they arise from - lower and upper bounds on growth rate; in particular boundedness, - images, - regularity (recognizability by a deterministic finite automaton) of preimages, and - factors, such as squares and palindromes of such sequences. We show that the decision problems are undecidable.

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