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 ...

Arxiv – Google Deepmind researchers have extended the capabilities of neural networks by coupling them to external memory resources, which they can interact with by attentional processes. The combined ...

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 ...

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 ...

Such is Turing's legacy: that of a nested chain of pretenses, each pointing not to reality, but to the caricature of another idea, device, individual, or concept. It's hard to overestimate Alan Turing ...

HE CALLED it the “oracle”. But in his PhD thesis of 1938, Alan Turing specified no further what shape it might take. Perhaps that is fair enough: aged just 26, the British mathematician had already ...