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As pointed out by @SEJPM, you can read more about security proofs for DSA/ECDSA family on this thread. As for whether there exists an interactive protocol corresponding to DSA/ECDSA à la Schnorr identification/Schnorr signature, not that I am aware of. I would add that this is unlikely for two reasons: The (unfortunate) reason for coming up with DSA/ECDSA ...

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