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 ...

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 ...

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 ...

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 ...

When he invented Turing machines in 1936, Alan Turing also invented modern computing. In 1928, the German mathematicians David Hilbert and Wilhelm Ackermann proposed a question called the ...

Vice reports that scientists have created the first known “chemical Turing machine,” meaning a liquid that can do the calculations that define a classic computer science standard. Juan Pérez-Mercader ...

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 ...

Unlike the traditional Turing Test, which assesses a machine's ability to mimic human cognitive functions, the Inverse Turing Test evaluates the "human comprehensibility" of AI outputs. It's a ...

Forbes contributors publish independent expert analyses and insights. Gil Press writes about technology, entrepreneurs and innovation. The first Turing Test (a.k.a Loebner Prize Competition) is held ...