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Extractable NIZK

Definition

Extractable NIZK, or Extractable Non-Interactive Zero-Knowledge proofs, are a type of cryptographic proof where, if a prover can generate a valid proof for a false statement, an extractor algorithm can then recover the secret witness that the prover supposedly knew. This property ensures that valid proofs can only be generated by those who genuinely possess the secret information. Such proofs are crucial for security in various cryptographic protocols.