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 ...

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." In a paper published in the ...

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 ...

The Association for Computing Machinery (ACM) on Wednesday announced that it has awarded this year's A.M. Turing prize, often referred to as the Nobel Prize of computing, to computer scientist and ...

There is good evidence that quantum computers are more powerful than classical computers, and that various simple modifications of quantum theory yield computational power that is dramatically greater ...