In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms, any ...

Alex Smith, a 20-year-old British engineering student, has proved that a Turing machine proposed by complexity guru Stephen Wolfram is in fact the simplest possible computer capable of solving every ...

Computational complexity and computability are central themes in theoretical computer science that address the fundamental question of what can be computed and at what cost. Computability theory ...

A theoretical computer built in a mixed-up mathematical universe might not sound like the most practical invention. But the discovery shows that computation can turn up in the most unlikely places, ...