Aug 2: I'll have 2-hour office hours on Wed, Aug 7, 11:30-13:30. Aug 2: The final exam on Aug 8 will be on all topics of the course, with equal emphasis. You'll have 3 hours for an exam that will be ...

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

A social welfare function for a denumerable society satisfies Pairwise Computability if for each pair (x, y) of alternatives, there exists an algorithm that can decide from any description of each ...

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 ...

Formal languages and expressiveness. Turing completeness and Church's Thesis. Decidability and tractability. Complexity classes and theory of NP completeness. Socratic Method will be used for teaching ...

Abstract: The work is devoted to Computability logic (CoL)—the philosophical/mathematical platform and long-term project for redeveloping classical logic after ...