For some problems – including factorisation – the result does not clearly say whether they can be solved quickly. But a huge sub-class of problems called “NP-complete” would be doomed.

An analysis of the computational complexity of video games, including those in the Mario and Legend of Zelda series, proves that many of them belong to a class of mathematical problems called NP-hard.

Discover the mysteries of the P versus NP problem and the recent proof by Vinay Deolalikar that could change computational complexity forever.

In 1971, Dr. Stephen Cook, a young University of Toronto professor in the fledgling field of computer science, posed a theoretical problem so intractable it has become the subject of a $1-million ...

Abstract Many real-life optimization problems can be formulated in Boolean logic as MaxSAT, a class of problems where the task is finding Boolean assignments to variables satisfying the maximum number ...

This is because simple problems in the polynomial time (P) category, another complexity class, also lie within NP. For P problems, a computer’s computation time for solving a problem only grows ...

Harnessing its expertise, and products based on leading academic research from affiliated organizations, in February, 2024, Quanmatic successfully solved 100M plus bit NP-hard optimization ...