使用中间字母表的密度分类任务顺序解决方案

arXiv - CS - Discrete Mathematics Pub Date : 2024-09-10 DOI:arxiv-2409.06536

Pacôme Perrotin, Pedro Paulo Balbi, Eurico Ruivo

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引用次数: 0

摘要

我们提出了一种半径为 2 1 的连续细胞自动机，作为密度分类任务的解决方案，它利用中间字母表，并在没有剩余辅助或中间信息的情况下转换到一个干净的固定点。我们将这一解决方案扩展到任意有限字母表和更高维度的配置。

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A sequential solution to the density classification task using an intermediate alphabet

We present a sequential cellular automaton of radius 2 1 as a solution to the density classification task that makes use of an intermediate alphabet, and converges to a clean fixed point with no remaining auxiliary or intermediate information. We extend this solution to arbitrary finite alphabets and to configurations in higher dimensions.

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arXiv - CS - Discrete Mathematics

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