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 ...

Self-replication is one of the fundamental aspects of computing where a program or a system may duplicate, evolve and mutate. Our point of view is that Kleene's (second) recursion theorem is essential ...

On Saturday, British mathematician Alan Turing would have turned 100 years old. It is barely fathomable to think that none of the computing power surrounding us today was around when he was born. But ...

It is proven that there is a family of sets of natural numbers which has enumerations in every Turing degree except for the recursive degree. This implies that there is a countable structure which has ...

In computer science and blockchain technology, the term “Turing completeness” describes a system’s ability to carry out any computation that a Turing machine is capable of. A Turing machine is a ...

As increasingly sophisticated models like ChatGPT test the boundaries of machine intelligence – the potential consequences for society are profound. As artificial intelligence, AI, continues its rapid ...