A proof made public today illustrates that Stephen Wolfram's 2,3 Turing machine number 596440 is a universal Turing machine, and it has netted a University of Birmingham undergraduate $25,000. In 1936 ...

It seems that every day brings a new headline about the burgeoning capabilities of large language models (LLMs) like ChatGPT and Google’s Gemini—headlines that are either exciting or increasingly ...

On the 75th Anniversary of mathematician Alan Turing’s famous essay, that question may no longer be the most important in our AI future ...

In computer science and blockchain technology, the term “Turing completeness” describes a system’s ability to carry out any computation that a Turing machine is capable of. A Turing machine is a ...

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 ...