On June 23, we commemorate the birth of Alan Mathison Turing, a visionary whose profound contributions laid the very groundwork for modern computing and artificial intelligence. Often hailed as the ...

This week we’ll venture in the realm of theory for a change, starting with Turing machines. In case some of you don’t know what a Turing machine is, here is the Wikipedia definition: “A theoretical ...

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.

The Church-Turing limit restricts all current computation, including quantum computers, to rational number computation. This is because quantum computer designs (still not scalable even with high ...