Vol. 95, No. 1/2, The Contributions of Logic to the Foundations of Physics (June/July 2010), pp. 279-300 (22 pages) Earlier, we have studied computations possible by physical systems and by algorithms ...

The British mathematician and pioneer of computing Alan Turing published a paper in 1936 which described a Universal Machine, a theoretical model of a computer processor that would later become known ...

A 20-year-old UK undergrad proved it:<BR><BR>http://www.wolframscience.com/prizes/tm23/solved.html<BR><BR>http://blog.wolfram.com/2007/10/the_prize_is_won_the ...

IN 1935, Alan Turing set out to build a reputation by outflanking the world’s leading mathematician. Turing was 22 years old, and a new fellow at Cambridge. His target, David Hilbert, was the ...

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 ...

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 ...

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 ...

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 ...

One hundred and fifty years of mathematics will be proved wrong if a new computer program stops running. Thankfully, it’s unlikely to happen, but the code behind it is testing the limits of the ...