Article ID Journal Published Year Pages File Type
437223 Theoretical Computer Science 2012 5 Pages PDF
Abstract

We construct a reversible, one-dimensional cellular automaton that has the property that a finite initial configuration generates all finite patterns over its state alphabet. We also conjecture that a related cellular automaton satisfies the stronger property that every finite pattern gets generated in every position, so that the forward orbit of the finite initial configuration is dense.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics