Precise zero knowledge introduced by Micali and Pass (STOC'06) guarantees that the view of any verifier V can be simulated in time closely related to the actual (as opposed t...
Omkant Pandey, Rafael Pass, Amit Sahai, Wei-Lung D...
Goldreich-Krawczyk (Siam J of Comp’96) showed that only languages in BPP have constant-round public-coin black-box zero-knowledge protocols. We extend their lower bound to “ful...
Abstract. We present a lower bound on the number of rounds required by Concurrent Zero-Knowledge proofs for languages in NP. It is shown that in the context of Concurrent Zero-Know...
Halpern, Moses and Tuttle presented a definition of interactive proofs using a notion they called practical knowledge, but left open the question of finding an epistemic formula...
We show that every language in NP has a (black-box) concurrent zero-knowledge proof system using ˜O(log n) rounds of interaction. The number of rounds in our protocol is optimal,...