Universal Computation in Simple One-Dimensional Cellular Automata
Artikel i vetenskaplig tidskrift, 1990

The existence of computation-universal one-dimensional cellular automata with seven states per cell for a transition function depending on the cell itself and its nearest neighbors (r= 1), and four states per cell for r= 2 (when next-nearest neighbors also are included), is shown. It is also demonstrated that a Turing machine with m tape symbols and n internal states can be simulated by a cellular automaton of range r= 1 with m+ n+ 2 states per cell.

Författare

Kristian Lindgren

Chalmers, Institutionen för fysisk resursteori

Mats Nordahl

Institutionen för teoretisk fysik

Complex Systems

0891-2513 (ISSN)

Vol. 4 299-318

Ämneskategorier

Beräkningsmatematik

Fundament

Grundläggande vetenskaper