Is Wolfram and Cook's (2,5) Turing machine really universal?

Published 31 Aug 2012 in cs.FL, cs.LO, and math.LO | (1208.6342v1)

Abstract: Wolfram [2, p. 707] and Cook [1, p. 3] claim to prove that a (2,5) Turing machine (2 states, 5 symbols) is universal, via a universal cellular automaton known as Rule 110. The first part of this paper points out a critical gap in their argument. The second part bridges the gap, thereby giving what appears to be the first proof of universality.

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Dominic J. D. Hughes

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