Baloo: nearly optimal lookup arguments

A Zapico, A Gabizon, D Khovratovich… - Cryptology ePrint …, 2022 - eprint.iacr.org
We present Baloo, the first protocol for lookup tables where the prover work is linear on the
amount of lookups and independent of the size of the table. Baloo is built over the lookup …

Unlocking the lookup singularity with Lasso

S Setty, J Thaler, R Wahby - … International Conference on the Theory and …, 2024 - Springer
This paper introduces Lasso, a new family of lookup arguments, which allow an untrusted
prover to commit to a vector a∈ F m and prove that all entries of a reside in some …

cq: Cached quotients for fast lookups

L Eagen, D Fiore, A Gabizon - Cryptology ePrint Archive, 2022 - eprint.iacr.org
We present a protocol called $\mathsf {cq} $ for checking the values of a committed
polynomial $ f (X)\in\mathbb {F} _ {< n}(X) $ over a multiplicative subgroup …

Jolt: Snarks for virtual machines via lookups

A Arun, S Setty, J Thaler - Annual International Conference on the Theory …, 2024 - Springer
Abstract Succinct Non-interactive Arguments of Knowledge (SNARKs) allow an untrusted
prover to establish that it correctly ran some “witness-checking procedure” on a witness. A …

Caulk: Lookup arguments in sublinear time

A Zapico, V Buterin, D Khovratovich, M Maller… - Proceedings of the …, 2022 - dl.acm.org
We present position-hiding linkability for vector commitment schemes: one can prove in zero
knowledge that one or m values that comprise commitment\cm all belong to the vector of …

plookup: A simplified polynomial protocol for lookup tables

A Gabizon, ZJ Williamson - Cryptology ePrint Archive, 2020 - eprint.iacr.org
We present a protocol for checking the values of a committed polynomial $ f\in\mathbb {F} _
{< n}[X] $ over a multiplicative subgroup $ H\subset\mathbb {F} $ of size $ n $, are contained …

[PDF][PDF] Reinforced Concrete: Fast Hash Function for Zero Knowledge Proofs and Verifiable Computation.

M Barbara, L Grassi, D Khovratovich… - IACR Cryptol. ePrint …, 2021 - scholar.archive.org
We propose a new hash function Reinforced Concrete for the proof systems that support
lookup tables, concretely Plookup based on KZG commitments or FRI. It has two solid …

HyperNova: Recursive arguments for customizable constraint systems

A Kothapalli, S Setty - Cryptology ePrint Archive, 2023 - eprint.iacr.org
This paper introduces HyperNova, a recursive argument for proving incremental
computations whose steps are expressed with CCS (Setty et al. ePrint 2023/552), a …

[PDF][PDF] Hash Functions Monolith for ZK Applications: May the Speed of SHA-3 be With You.

L Grassi, D Khovratovich, R Lüftenegger… - IACR Cryptol. ePrint …, 2023 - core.ac.uk
The rising popularity of computational integrity protocols has led to an increased focus on
efficient domain-specific hash functions, which are one of the core components in these use …

Muxproofs: Succinct arguments for machine computation from tuple lookups

Z Di, L Xia, W Nguyen, N Tyagi - Cryptology ePrint Archive, 2023 - eprint.iacr.org
Proofs for machine computation allow for proving the correct execution of arbitrary programs
that operate over fixed instruction sets (eg, RISC-V, EVM, Wasm). A standard approach for …