c Eli Biham - May 3, 2005 442 Zero Knowledge Protocols (16) A Mathematical ProofWhen referring to a proof in logic we usually mean:1. A sequence of statements.2. Based on axioms.3. Each statement is derived via the derivation rules.4. The proof is xed, i.e, in any time, anyone...
小明和小红之间最开始那种互动式的证明方法暗指的是交互式零知识证明（interactive zero-knowledge proof）。交互式零知识证明需要验证方（小红）在证明方（小明）放好答案（commitment）后，不断的发送随机试验。如果验证和证明双方事先串通好，那么他们就可以在不知道真实答案的情况下开挂（simulate/forge a proof）。...
How to Explain Zero Knowledge Protocols to Your Children (Quisquater et. al.) Cryptographic and Physical Zero-Knowledge Proof Systems for Solutions of Sudoku Puzzles (Gradwohl et. al.). 老钱觉得原文是零知识证明方面写的最好最接地气的科普类的文章。所以想要翻译一下,顺便在原文基础上加上一些自己的...
How to Explain Zero Knowledge Protocols to Your Children (Quisquater et. al.) Cryptographic and Physical Zero-Knowledge Proof Systems for Solutions of Sudoku Puzzles (Gradwohl et. al.). 老钱觉得原文是零知识证明方面写的最好最接地气的科普类的文章。所以想要翻译一下,顺便在原文基础上加上一些自己的...
1 We suggest to classify proof systems with an explicit focus on fast prover runtime as FLARKs: Fast Linear Arguments of Knowledge. 123 SoK: vector OLE-based zero-knowledge protocols 3529 1.1 Overview of this survey In this work, we attempt to systematize the recent works on VOLE-based ...
Concurrent non-malleable zero-knowledge (CNMZK) considers the concurrent execution of zero-knowledge protocols in a setting even when adversaries can simultaneously corrupt multiple provers and verifiers. As far as we know, the round complexity of all th
Zero-knowledge (ZK) protocols are one of the cornerstones of modern cryptography. In a nutshell, a ZK protocol allows a prover P (with a secret input x) to persuade a verifier V that f(x) = 1 for some public function f, without disclosing to V any other information about x. In this...
How to Explain Zero-Knowledge Protocols to Your Children QUISQUATER Jean-Jacques(‘), Myziam, Muriel, Micha2;1 GUILLOU Louis(‘), Marie AnnicJc, GaicJ, Anna, Gwenoli, Soazig in collaboration with Tom BERSON’“) for the English version 0 Know, oh my children, that very long ago, in ...
A perfect zero-knowledge interactive protocol allows a prover to convince a verifier of the validity of a statement in a way that does not give the verifier any additional information. Such protocols take place by the exchange of messages back and forth between the prover and the verifier. An...
We show that only languages in BPP have public-coin, black-box zero-knowledge protocols that are secure under an unbounded (polynomial) number of parallel repetitions. This result holds both in the plain model (without any set-up) and in the Bare Public-