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The standard definition of digital signatures allows a docu- ment to have many valid signatures. In this paper, we consider a subclass of digital signatures, called invanant signatures, in which all legal signa- tures of a document must be identical according to some polynomial-time computable function (of a signature) which is hard to predict given an unsigned document. We formalize this notion and show its equivalence to non-interactive zero-knowledge proofs.

Invariant Signatures and Non-Interactive Zero-Knowledge Proofs are Equivalent