Abstract. The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory a...
Samuel R. Buss, Alexander S. Kechris, Anand Pillay...
A logic of conditional preferences is defined, with a language which allows the compact representation of certain kinds of conditional preference statements, a semantics and a pro...
In this paper we continue investigations of proof theory of default logic. It turns out that, similarly to classical logic, default theories can be represented in normal forms.
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...