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This paper examines the claim that cellular automata (CA) belonging to ClassIII (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 foruniversal computation, hence spurring the discussion on Turing universality onboth Wolfram's classes III and IV.

Computation and Universality: Class IV versus Class III Cellular Automata