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» Computationally Convincing Proofs of Knowledge
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FOCS
1999
IEEE
13 years 12 months ago
Non-Malleable Non-Interactive Zero Knowledge and Adaptive Chosen-Ciphertext Security
We introduce the notion of non-malleable noninteractive zero-knowledge (NIZK) proof systems. We show how to transform any ordinary NIZK proof system into one that has strong non-m...
Amit Sahai
CADE
2005
Springer
14 years 8 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
STOC
2007
ACM
102views Algorithms» more  STOC 2007»
14 years 8 months ago
Zero-knowledge from secure multiparty computation
A zero-knowledge proof allows a prover to convince a verifier of an assertion without revealing any further information beyond the fact that the assertion is true. Secure multipar...
Yuval Ishai, Eyal Kushilevitz, Rafail Ostrovsky, A...
FOCS
2006
IEEE
14 years 1 months ago
Succinct Non-Interactive Zero-Knowledge Proofs with Preprocessing for LOGSNP
Let Λ : {0, 1}n ×{0, 1}m → {0, 1} be a Boolean formula of size d, or more generally, an arithmetic circuit of degree d, known to both Alice and Bob, and let y ∈ {0, 1}m be a...
Yael Tauman Kalai, Ran Raz
ECCC
2007
91views more  ECCC 2007»
13 years 7 months ago
Which Languages Have 4-Round Zero-Knowledge Proofs?
We show that if a language L has a 4-round, black-box, computational zero-knowledge proof system with negligible soundness error, then ¯L ∈ MA. Assuming the polynomial hierarch...
Jonathan Katz