Lower Bounds on Random-Self-Reducibility

  title={Lower Bounds on Random-Self-Reducibility},
  author={Joan Feigenbaum and Sampath Kannan and Noam Nisan},
  booktitle={Structure in Complexity Theory Conference},
Informally speaking, a function f is random-self-reducible if, for any x, the computation of f(x) can be reduced to the computation of f on other \randomly chosen" inputs. Such functions are fundamental in many areas of theoretical computer science, including lower bounds, pseudorandom number-generators, interactive proof systems, zero-knowledge, instance-hiding, program-checking, and program-testing. Several examples of random-self-reductions are quite well-known and have been applied in all… CONTINUE READING