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IN 1935, Alan Turing set out to build a reputation by outflanking the world’s leading mathematician. Turing was 22 years old, and a new fellow at Cambridge. His target, David Hilbert, was the ...

David Craven does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

Turing machines are widely believed to be universal, in the sense that any computation done by any system can also be done by a Turing machine. In a new article, researchers present their work ...