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Set (Non-)Membership NIZKs from Determinantal Accumulators
We construct a falsifiable set (non-)membership NIZK \(\mathbf {\Pi ^*}\)... -
Zero-knowledge proofs for set membership: efficient, succinct, modular
We consider the problem of proving in zero knowledge that an element of a public set satisfies a given property without disclosing the element, i.e.,...
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Cryptographic Accumulators: New Definitions, Enhanced Security, and Delegatable Proofs
Cryptographic accumulators, introduced in 1993 by Benaloh and De Mare, represent a set with a concise value and offer proofs of (non-)membership.... -
Non-interactive Zero-Knowledge Functional Proofs
In this paper, we consider to generalize NIZK by empowering a prover to share a witness in a fine-grained manner with verifiers. Roughly, the prover... -
Authenticated Multi-proxy Accumulation Schemes for Delegated Membership Proofs
Proving ownership (or possibly non-ownership) of an attribute associated with an individual or device can be used in many different use cases. For a... -
Vector Commitments with Proofs of Smallness: Short Range Proofs and More
Vector commitment schemes are compressing commitments to vectors that make it possible to succinctly open a commitment for individual vector... -
Mixed membership distribution-free model
We consider the problem of community detection in overlap** weighted networks, where nodes can belong to multiple communities and edge weights can...
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Bulletproofs++: Next Generation Confidential Transactions via Reciprocal Set Membership Arguments
Zero-knowledge proofs are a cryptographic cornerstone of privacy-preserving technologies such as “Confidential Transactions” (CT), which aims at... -
Zero-Knowledge Proofs for Set Membership: Efficient, Succinct, Modular
We consider the problem of proving in zero knowledge that an element of a public set satisfies a given property without disclosing the element, i.e.,... -
Systematization of knowledge: privacy methods and zero knowledge proofs in corporate blockchains
Nowadays enterprises implement blockchain technology in various industries, including finance, logistics, and other sectors. While the core idea...
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Mechanical certification of FOLID cyclic proofs
Cyclic induction is a powerful reasoning technique that consists in blocking the proof development of certain subgoals already encountered during the...
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Improved Algorithms for Minimum-Membership Geometric Set Cover
Bandyapadhyay et al. introduced the generalized minimum-membership geometric set cover (GMMGSC) problem [SoCG, 2023], which is defined as follows: We... -
CompactChain: an efficient stateless chain for UTXO-model blockchain
In this work, we propose a stateless blockchain called CompactChain, which compacts the entire state of the UTXO (Unspent Transaction Output) based...
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Oblivious Accumulators
A cryptographic accumulator is a succinct set commitment scheme with efficient (non-)membership proofs that typically supports updates (additions and... -
Making the Interval Membership Width of Temporal Graphs Connected and Bidirectional
Temporal graphs are graphs that evolve over time. Many problems which are polynomial-time solvable in standard graphs become NP-hard when... -
Malleable Commitments from Group Actions and Zero-Knowledge Proofs for Circuits Based on Isogenies
Zero-knowledge proofs for NP statements are an essential tool for building various cryptographic primitives and have been extensively studied in... -
Speed-Stacking: Fast Sublinear Zero-Knowledge Proofs for Disjunctions
Building on recent compilers for efficient disjunctive composition (e.g. an OR of multiple clauses) of zero-knowledge proofs (e.g. Goel et al.... -
Subgroup membership testing on elliptic curves via the Tate pairing
This note explains how to guarantee the membership of a point in the prime-order subgroup of an elliptic curve (over a finite field) satisfying some...
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Membership Checking in Pedigree Polytopes
This chapter is the heart of the study undertaken in this book. We study the membership problem for pedigree polytope, that is, given an X in the...