Indistinguishability obfuscation from well-founded assumptions

A Jain, H Lin, A Sahai - Proceedings of the 53rd Annual ACM SIGACT …, 2021 - dl.acm.org
Indistinguishability obfuscation, introduced by [Barak et. al. Crypto 2001], aims to compile
programs into unintelligible ones while preserving functionality. It is a fascinating and …

Correlation intractability and SNARGs from sub-exponential DDH

AR Choudhuri, S Garg, A Jain, Z Jin… - Annual International …, 2023 - Springer
We provide the first constructions of SNARGs for Batch-NP and P based solely on the sub-
exponential Decisional Diffie Hellman (DDH) assumption. Our schemes achieve poly …

Non-interactive batch arguments for NP from standard assumptions

AR Choudhuri, A Jain, Z Jin - Annual International Cryptology Conference, 2021 - Springer
We study the problem of designing non-interactive batch arguments for NP NP. Such an
argument system allows an efficient prover to prove multiple NP NP statements, with size …

SNARGs for bounded depth computations and PPAD hardness from sub-exponential LWE

R Jawale, YT Kalai, D Khurana, R Zhang - Proceedings of the 53rd …, 2021 - dl.acm.org
We construct a succinct non-interactive publicly-verifiable delegation scheme for any log-
space uniform circuit under the sub-exponential Learning With Errors (LWE) assumption. For …

Fiat–shamir via list-recoverable codes (or: parallel repetition of gmw is not zero-knowledge)

J Holmgren, A Lombardi, RD Rothblum - Proceedings of the 53rd …, 2021 - dl.acm.org
In a seminal work, Goldreich, Micali and Wigderson (CRYPTO'86) demonstrated the wide
applicability of zero-knowledge proofs by constructing such a proof system for the NP …

MinRoot: Candidate sequential function for Ethereum VDF

D Khovratovich, M Maller, PR Tiwari - Cryptology ePrint Archive, 2022 - eprint.iacr.org
We present a candidate sequential function for a VDF protocol to be used within the
Ethereum ecosystem. The new function, called MinRoot, is an optimized iterative algebraic …

Non-interactive zero knowledge from sub-exponential DDH

A Jain, Z Jin - Annual International Conference on the Theory and …, 2021 - Springer
We provide the first constructions of non-interactive zero-knowledge and Zap arguments for
NP based on the sub-exponential hardness of Decisional Diffie-Hellman against polynomial …

SNARGs and PPAD hardness from the decisional Diffie-Hellman assumption

YT Kalai, A Lombardi, V Vaikuntanathan - … International Conference on the …, 2023 - Springer
We construct succinct non-interactive arguments (SNARGs) for bounded-depth
computations assuming that the decisional Diffie-Hellman (DDH) problem is sub …

Hardness of continuous local search: Query complexity and cryptographic lower bounds

P Hubácek, E Yogev - SIAM Journal on Computing, 2020 - SIAM
Local search proved to be an extremely useful tool when facing hard optimization problems
(eg, via the simplex algorithm, simulated annealing, or genetic algorithms). Although …

Chain of thought empowers transformers to solve inherently serial problems

Z Li, H Liu, D Zhou, T Ma - arXiv preprint arXiv:2402.12875, 2024 - arxiv.org
Instructing the model to generate a sequence of intermediate steps, aka, a chain of thought
(CoT), is a highly effective method to improve the accuracy of large language models (LLMs) …