We consider the problem of amplifying uniform average-case hardness of languages in NP, where hardness is with respect to BPP algorithms. We introduce the notion of monotone error...
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
The coding theorem is a fundamental result of algorithmic information theory. A well known theorem of G´acs shows that the analog of the coding theorem fails for continuous sample...
We extract on the computer a number of moduli of uniform continuity for the first few elements of a sequence of closed terms t of G¨odel’s T of type (N→N)→(N→N). The gen...