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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Mercurial Commitments with Applications to Zero-Knowledge Sets
Extended Abstract
verfasst von : Melissa Chase, Alexander Healy, Anna Lysyanskaya, Tal Malkin, Leonid Reyzin
Erschienen in: Advances in Cryptology – EUROCRYPT 2005
Verlag: Springer Berlin Heidelberg
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We introduce a new flavor of commitment schemes, which we call
mercurial commitments
. Informally, mercurial commitments are standard commitments that have been extended to allow for
soft
decommitment. Soft decommitments, on the one hand, are not binding but, on the other hand, cannot be in conflict with true decommitments.
We then demonstrate that a particular instantiation of mercurial commitments has been implicitly used by Micali, Rabin and Kilian to construct
zero-knowledge sets
. (A
zero-knowledge set
scheme allows a Prover to (1) commit to a set
S
in a way that reveals nothing about
S
and (2) prove to a Verifier, in zero-knowledge, statements of the form
x
∈
S
and
x
∉
S
.) The rather complicated construction of Micali et al. becomes easy to understand when viewed as a more general construction with mercurial commitments as an underlying building block.
By providing mercurial commitments based on various assumptions, we obtain several different new zero-knowledge set constructions.