Universal Computation in Simple One-Dimensional Cellular Automata
Journal article, 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.


Kristian Lindgren

Chalmers, Department of Physical Resource Theory

Mats Nordahl

Department of Theoretical Physics

Complex Systems

0891-2513 (ISSN)

Vol. 4 3 299-318

Subject Categories

Computational Mathematics


Basic sciences

More information