Proofs of Knowledge for Non-monotone Discrete-Log Formulae and Applications

@inproceedings{Bresson2002ProofsOK,
  title={Proofs of Knowledge for Non-monotone Discrete-Log Formulae and Applications},
  author={Emmanuel Bresson and Jacques Stern},
  booktitle={ISC},
  year={2002}
}
This paper addresses the problem of defining and providing proofs of knowledge for a general class of exponentiation-based formulae. We consider general predicates built from modular exponentiations of secret values, combined by products and connected with the logical operators "AND", "OR", "NOT". We first show how to deal with non-linear combination of secret exponents. Next, we extend the work by Brands [4] to a strictly larger class of predicates, allowing a more liberal use ofthe logical… 
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