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 ...

The goal of the “busy beaver” game is to find the longest-running computer program. Its pursuit has surprising connections to some of the most profound questions and concepts in mathematics.

One of the problems with a classic Turing machine is the tape must be infinitely long. [Mark’s] Turing Ring still doesn’t have an infinite tape, but it does make it circular to save space. That along ...