Abstract We prove, using a non-standard complexity assumption, that any language in NP has a 1-round (that is, the verifier sends a message to the prover, and the prover sends a me...
The OR-SAT problem asks, given Boolean formulae φ1, . . . , φm each of size at most n, whether at least one of the φi’s is satisfiable. We show that there is no reduction fr...
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
We shall discuss several situations in which it is possible to extract from a proof, be it a proof in a first-order theory or a propositional proof, some feasible computational inf...
Abstract. We establish new lower bounds and impossibility results for noninteractive zero-knowledge proofs and arguments with set-up assumptions. – For the common random string m...