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 ...

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 ...

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 ...

Theory of Computation offers a rigorous mathematical framework that underpins our understanding of what can be computed and how efficiently these computations may be performed. It encompasses ...

The British mathematician and pioneer of computing Alan Turing published a paper in 1936 which described a Universal Machine, a theoretical model of a computer processor that would later become known ...

IN 1935, Alan Turing set out to build a reputation by outflanking the world’s leading mathematician. Turing was 22 years old, and a new fellow at Cambridge. His target, David Hilbert, was the ...

As a practising computer scientist, I thought I had a fairly good grasp of Alan Turing’s many contributions to the field. But The Turing Guide, by Jack Copeland, Jonathan Bowen, Mark Sprevak and Robin ...

The Turing Test, a concept introduced by Alan Turing in 1950, has been a foundation concept for evaluating a machine's ability to exhibit human-like intelligence. But as we edge closer to the ...