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Efficient Confirmer Signatures from the ``Signature of a Commitment'' Paradigm

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Figure

Fig. 1. Proof system for membership to the language {r : f(r) = I} Common input: I and Private input : r
Fig. 2. Proof system for membership to the language {e: ∃m : m = Γ.decrypt(e)} Common input: (e, Γ.pk) andPrivate input: Γ.sk or randomness encrypting m in e
Fig. 4. Proof system for membership (non membership) to the language {(m, c): ∃ ˜m : ˜m = Γ.decrypt(c) ∧ ˜m ̸= m}Common input: (m, c, Γ.pk) and Private input: Γ.sk or randomness encrypting ˜m in c

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