For something that has been around since the 1930s and is so foundational to computer science, you’d think that the Turing machine, an abstraction for mechanical computation, would be easily ...

The Busy Beaver Challenge, a notoriously difficult question in theoretical computer science, is now producing answers so large they’re impossible to write out using standard mathematical notation.

Empowered by artificial intelligence technologies, computers today can engage in convincing conversations with people, compose songs, paint paintings, play chess and go, and diagnose diseases, to name ...

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 ...