A theoretical computer built in a mixed-up mathematical universe might not sound like the most practical invention. But the discovery shows that computation can turn up in the most unlikely places, ...
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 ...
University of Massachusetts Amherst computer scientist Hava Siegelmann has received funding to develop the first ever “Super-Turing” computer. Based on analog recurrent neural networks, Siegelmann ...
<B>Why did you think of this?</B> To some extent, I'm masochistic. Recently I've been working on a paper that involves TMs and I wrote a small simulator to check my solutions. I'm bored; therefore, we ...
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 ...
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 ...