Producción Científica Profesorado

Computation and universality: Class IV versusClass III cellular automata

Seck Tuoh Mora, Juan Carlos


Martínez, G. J., Seck-Tuoh-Mora, J.C. & Zenil, H. (2012). Computation and universality: Class IV versus Class III cellular automata. Journal of Cellular Automata, 7, 393-430.


This paper examines the claim that cellular automata (CA) belonging to Class III (in Wolfram's classification) are capable of (Turing universal)computation.We explore some chaotic CA (believed to belong to Class III) reported over the course of the CA history, that may be candidates for universal computation, hence spurring the discussion on Turing universality on both Wolfram's classes III and IV.

Artículos relacionados

Reproducing the Cyclic Tag System Developed by Matthew Cook with Rule 110 Using the Phases f(i-)1.

Pair Diagram and Cyclic Properties Characterizing the Inverse of Reversible Automata

On explicit inversion of a subclass of operators with D-difference kernels and Weyl theory of the co...

Modeling a Nonlinear Liquid Level System by Cellular Neural Networks

How to Make Dull Cellular Automata Complex by Adding Memory: Rule 126 Case Study

Elementary cellular automaton Rule 110 explained as a block substitution system

Complex Dynamics Emerging in Rule 30 with Majority Memory

Unconventional invertible behaviors in reversible one-dimensional cellular automata.