A strongly universal cellular automaton on the heptagrid with five states, but with not rotation invariance of the rules

IF 0.6 Q4 COMPUTER SCIENCE, THEORY & METHODS International Journal of Parallel Emergent and Distributed Systems Pub Date : 2023-09-05 DOI:10.1080/17445760.2023.2234157
M. Margenstern
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引用次数: 0

Abstract

In this paper, we prove that there is a strongly universal cellular automaton on the heptagrid with five states under the relaxation of the assumption of rotation invariance for the rules. The result is different from that of a previous paper of the author with six states but with rotationally invariant rules. Here, the structures is more constrained than in the quoted paper with six states and rotation invariance of the rules.
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具有五态的七格体上的强通用元胞自动机,但不具有规则的旋转不变性
在本文中,我们证明了在规则的旋转不变性假设的放松下,在具有五个状态的七网格上存在一个强通用元自动机。该结果与作者先前的一篇论文不同,该论文有六个状态,但具有旋转不变规则。在这里,结构比引用的论文中更受约束,具有六个状态和规则的旋转不变性。
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CiteScore
2.30
自引率
0.00%
发文量
27
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