The Theory of Computation explores the fundamental capabilities and limits of computing processes. It encompasses models such as finite automata, push-down machines and Turing machines, which ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...