Hardness results for maximum agreement problems have close connections to hardness results for proper learning in computational learning theory. In this paper we prove two hardnes...
Ilias Diakonikolas, Ryan O'Donnell, Rocco A. Serve...
Vardanyan's Theorem states that the set of PA-valid principles of Quantified Modal Logic, QML, is complete 0 2. We generalize this result to a wide class of theories. The cru...
The Chernoff-Hoeffding bounds are fundamental probabilistic tools. An elementary approach is presented to obtain a Chernoff-type upper-tail bound for the number of prime factors o...
Abstract. Flat theory with sequence variables and flexible arity symbols has infinitary matching and unification type. Decidability of general unification is shown and a unificatio...
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the...