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 ...

Constraint satisfaction problems (CSPs) provide a versatile framework for modelling complex decision-making tasks where a collection of variables must be allocated values that satisfy specific ...

Lance Fortnow on the current status and future outlook of solving the P-NP problem.

In the last few years, a few dedicated mathematicians have begun to study the computational complexity of video games. Their goal is to determine the inherent difficulty of the games and how they ...

Memcomputing is a novel non-Turing paradigm of computation that uses interacting memory cells (memprocessors for short) to store and process information on the same physical platform. It was recently ...

A major advance reveals deep connections between the classes of problems that computers can — and can’t — possibly do. At first glance, the big news coming out of this summer’s conference on the ...

Whether or not machines can quickly answer yes-or-no questions could affect everything from national security to the limits of human knowledge On a snowy day in Princeton, N.J., in March 1956, a short ...

Quantum computers get a lot of people excited because they solve problems in a manner that’s fundamentally different from existing hardware. A certain class of mathematical problems, called ...