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Under the assumption that encryption functions exist, we show that all languages in NP possess zero-knowledge proofs. That is, it is possible to demonstrate that a CNF formula is satisfiable without revealing any other property of the formula. In particular, without yielding neither a satisfying assignment nor weaker properties such as whether there is a satisfying assignment in which x 1 = TRUE, or whether there is a satisfying assignment in which x 1 = x 3 etc.

How to Prove All NP Statements in Zero-Knowledge and a Methodology of Cryptographic Protocol Design (Extended Abstract)