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# Lecture 23
## Zero-knowledge proofs
## Chapter 7: Composability
### Zero-knowledge proofs
Let the Prover Peggy and the Verifier Victor.
Peggy wants to prove to Victor that she knows a secret $x$ without revealing anything about $x$. (e.g. $x$ such that $g^x=y\mod p$)
### Zero-knowledge proofs protocol
#### Zero-knowledge proofs protocol
The protocol should satisfy the following properties: