2018/03/14 by Yanbo Zhang, Zhang, Yanbo
Computer Science · Mathematics · #Cellular Automata and Applications #Computability, Logic, AI Algorithms #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1803.06919
To identify potential universal cellular automata, a method is developed to measure information processing capacity of elementary cellular automata. We consider two features of cellular automata: Ability to store information, and ability to process information. We define local collections of cells as particles of cellular automata and consider information contained by particles. By using this method, information channels and channels' intersections can be shown. By observing these two features, potential universal cellular automata are classified into a certain class, and all elementary cellular automata can be classified into four groups, which correspond to S. Wolfram's four classes: 1) Homogeneous; 2) Regular; 3) Chaotic and 4) Complex. This result shows that using abilities of store and processing information to characterize complex systems is effective and succinct. And it is found that these abilities are capable of quantifying the complexity of systems.