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Wolfram [2, p. 707] and Cook [1, p. 3] claim to prove that a (2,5) Turingmachine (2 states, 5 symbols) is universal, via a universal cellular automatonknown as Rule 110. The first part of this paper points out a critical gap intheir argument. The second part bridges the gap, thereby giving what appears tobe the first proof of universality.

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