Security, Zero Knowledge Proofs, Snark, Cryptography, Research.
it to P* and waits to receive the answer z’ = r+e’w. Lastly the witness w gets extracted through computing the differences of the challenge-response pairs. (z-z')/(e-e') = ((r+ew)-(r+e'w))/(e-e') = (e-e')/(e-e') · w = w Zero-knowledge: A protocol is deemed zero knowledge if for any verifier V there