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CIE
2008
Springer
13 years 9 months ago
Succinct NP Proofs from an Extractability Assumption
Abstract We prove, using a non-standard complexity assumption, that any language in NP has a 1-round (that is, the verifier sends a message to the prover, and the prover sends a me...
Giovanni Di Crescenzo, Helger Lipmaa
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
ICFP
2010
ACM
13 years 8 months ago
VeriML: typed computation of logical terms inside a language with effects
Modern proof assistants such as Coq and Isabelle provide high degrees of expressiveness and assurance because they support formal reasoning in higher-order logic and supply explic...
Antonis Stampoulis, Zhong Shao
LATINCRYPT
2010
13 years 5 months ago
On the Round Complexity of Zero-Knowledge Proofs Based on One-Way Permutations
We consider the following problem: can we construct constant-round zero-knowledge proofs (with negligible soundness) for NP assuming only the existence of one-way permutations? We...
S. Dov Gordon, Hoeteck Wee, David Xiao, Arkady Yer...
CAV
2009
Springer
218views Hardware» more  CAV 2009»
14 years 8 months ago
Cuts from Proofs: A Complete and Practical Technique for Solving Linear Inequalities over Integers
Abstract. We propose a novel, sound, and complete Simplex-based algorithm for solving linear inequalities over integers. Our algorithm, which can be viewed as a semantic generaliza...
Isil Dillig, Thomas Dillig, Alex Aiken