A NEW UNIVERSAL CELLULAR AUTOMATON ON THE PENTAGRID

Author:

MARGENSTERN MAURICE1,SONG YU1

Affiliation:

1. Université Paul Verlaine – Metz, LITA, EA 3097, UFR MIM, Campus du Saulcy, 57045 METZ Cédex 1, France

Abstract

In this paper, we significantly improve a result of the first author, published in an issue of Theoretical Computer Science in 2003. In this paper, the authors showed the existence of a weakly universal cellular automaton on the pentagrid with 22 states. The simulation used a railway circuit which simulates a register machine. In the present paper, using the same simulation tool, we lower the number of states for a weakly universal cellular automaton down to 9.

Publisher

World Scientific Pub Co Pte Lt

Subject

Hardware and Architecture,Theoretical Computer Science,Software

Cited by 18 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A strongly universal cellular automaton on the heptagrid with five states, but with not rotation invariance of the rules;International Journal of Parallel, Emergent and Distributed Systems;2023-09-05

2. A weakly universal cellular automaton in the heptagrid of the hyperbolic plane;International Journal of Parallel, Emergent and Distributed Systems;2023-08-27

3. A Weakly Universal Cellular Automaton on the Grid {8, 3} with Two States;Reversibility and Universality;2018

4. Cellular Automata in Hyperbolic Spaces;Cellular Automata;2018

5. Cellular Automata in Hyperbolic Spaces;Emergence, Complexity and Computation;2016-07-19

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