Abstract. Cellular Automata are a powerful formal model for describing physical and computational processes. Qualitative analysis of Cellular Automata is in general a hard problem....
The classification of discrete dynamical systems that are computationally complete has recently drawn attention in light of Wolfram's "Principle of Computational Equivale...
Computation in the physical world is restricted by the following spatial locality constraint: In a single unit of time, information can only travel a bounded distance in space. A ...