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 ...

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 ...

The history of digital computing can be divided into an old testament and a new testament. The prophets of the old testament, led by Gottfried Wilhelm Leibniz in the 1670s, supplied the logic; those ...

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 ...