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 Church-Turing limit restricts all current computation, including quantum computers, to rational number computation. This is because quantum computer designs (still not scalable even with high ...

Turing machines are widely believed to be universal, in the sense that any computation done by any system can also be done by a Turing machine. In a new article, researchers present their work ...

While the invention of calculus by Newton and Leibniz in the 17th century set the stage for the so-called industrial revolution and unleashed unparalleled analytical power to fast-track human ...

Vol. 95, No. 1/2, The Contributions of Logic to the Foundations of Physics (June/July 2010), pp. 279-300 (22 pages) Earlier, we have studied computations possible by physical systems and by algorithms ...

A computer program named "Eugene Goostman" has convinced a third of human judges into thinking it is a 13-year-old boy, becoming the first machine to pass the Turing test, Hannah Furness of The ...

Some of the greatest, most revolutionary advances in science have been given their initial expression in attractively modest terms, with no fanfare. Charles Darwin managed to compress his entire ...

Turing machines were first proposed by British mathematician Alan Turing in 1936, and are a theoretical mathematical model of what it means for a system to "be a computer." At a high level, these ...