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  More on Proofs of Knowledge

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by Shai Halevi, Silvio Micali
http://philby.ucsd.edu/cryptolib/psfiles/98-15.ps
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Abstract:

The notion of proofs of knowledge is central to cryptographic protocols, and many definitions for it have been proposed. In this work we explore a different facet of this notion, not addressed by prior definitions. Specifically, prior definitions concentrate on capturing the properties of the verifier, and do not pay much attention to the properties of the prover. Our new definition is strictly stronger than previous ones, and captures new and desirable properties. In particular, it guarantees prover feasibility, that is, it guarantees that the time spent by the prover in a proof of knowledge is comparable to that it spends in an "extraction" of this knowledge. Our definition also enables one to consider meaningfully the case of a single, specific prover.

Citations

693 The Knowledge Complexity of Interactive Proof-Systems (Extended Abstract – Goldwasser, Micali, et al. - 1985
480 How to construct random functions – Goldreich, Goldwasser, et al. - 1986
263 Zero Knowledge Proofs of Identity – Fiege, Fiat, et al. - 1987
241 Proofs that yield nothing but their validity or all languages in NP have zero-knowledge proof systems – Goldreich, Micali, et al. - 1991
132 Witness indistinguishable and witness hiding protocols – Feige, Shamir
102 On defining proofs of knowledge – Bellare, Goldreich
67 Random self-reducibility and zero knowledge interactive proofs of possession of information – Tompa, Woll - 1987
3 A Secure Protocol for Oblivious Transfer (Extended Abstract – Fischer, Micali, et al. - 1996