Work With Stephen Wolfram
In the 1990s Cook worked as a research assistant to Stephen Wolfram, assisting with work on Wolfram's book, A New Kind of Science. Among other things, he developed a proof showing that the Rule 110 cellular automaton is Turing-complete.
Cook presented his proof at the Santa Fe Institute conference CA98 before the publishing of Wolfram's book — an action that led Wolfram Research to accuse Cook of violating his NDA and resulted in the blocking of the publication of the proof in the conference proceedings.
A New Kind of Science was released in 2002 with an outline of the proof. In 2004, Cook published his proof in Wolfram's journal Complex Systems.
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