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 ...

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 ...

This week we’ll venture in the realm of theory for a change, starting with Turing machines. In case some of you don’t know what a Turing machine is, here is the Wikipedia definition: “A theoretical ...

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 ...

A computer program named "Eugene Goostman" has convinced a third of human judges into thinking it is a 13-year-old boy, becoming the first machine to pass the Turing test, Hannah Furness of The ...

Alan Turing theorized a machine that could do infinite calculations from an infinite amount of data that computes based on a set of rules. It starts with an input, transforms the data and outputs an ...

(Follow the appropriate link above for Elga or Klein's office hours and contact information.) The final exam will be a take-home exam distributed on Tuesday, May 13, and due at noon on Monday, May 19.

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 ...