Algorithmic randomness and computability theory inhabit a crossroads between mathematics and computer science, providing a rigorous framework for understanding randomness in infinite sequences and ...

The field of Reverse Mathematics explores the minimal axiomatic frameworks necessary to prove classical theorems, seeking to elucidate the logical foundations of mathematics. In parallel, ...

Initially discussed are some of Alan Turing's wonderfully profound and influential ideas about mind and mechanism—including regarding their connection to the main topic of the present study, which is ...

This year a series of events around the world will celebrate the work of Alan Turing, the father of the modern computer, as the 100th anniversary of his birthday approaches on June 23. In a book ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...