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 ...

Therefore, in the deterministic case, the expressive power of analog neural nets turns out to be comparable to the expressive power of any kind of Büchi abstract machine, whereas in the ...

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 ...

Everyone sees a different Turing. A molecular biologist might surprise you by saying that Turing's most important paper is his 1936 work on the 'Turing machine' because of its relevance to DNA-based ...

A survey of the mathematical foundations of Computer Science. Finite automata and regular languages. Stack Acceptors and Context-Free Languages. Turing Machines, recursive and recursively enumerable ...

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 ...

Forbes contributors publish independent expert analyses and insights. Gil Press writes about technology, entrepreneurs and innovation. This week's milestones in the history of technology include Alan ...

<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 ...