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Straight-Line Extractability

Definition

Straight-line extractability describes a property in cryptographic protocols where an adversary can extract secret information directly from a proof if they can successfully forge a valid proof for a false statement. This property is highly desirable in certain zero-knowledge proof systems, as it provides a strong security guarantee. It means that the proof system is sound and that any valid proof must correspond to a true statement. This ensures the integrity of the underlying cryptographic claims.