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 ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...

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 ...

A proof made public today illustrates that Stephen Wolfram's 2,3 Turing machine number 596440 is a universal Turing machine, and it has netted a University of Birmingham undergraduate $25,000. In 1936 ...

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 ...

A mathematical model of computation. Named after English scientist Alan Turing, a Turing machine is a finite state machine that reads a tape divided into cells. The Turing machine examines the symbol ...

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 ...