Let f be a function on Rd that is monotonic in every variable. There are 2d possible assignments to the directions of monotonicity (two per variable). We provide sufficient condit...
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically effici...
We propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability mea...
Abstract. A Boolean function on N variables is called evasive if its decision-tree complexity is N. A sequence Bn of Boolean functions is eventually evasive if Bn is evasive for al...
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...