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 …

[HTML][HTML] Proofs, arguments, and zero-knowledge

J Thaler - Foundations and Trends® in Privacy and Security, 2022 - nowpublishers.com
Interactive proofs (IPs) and arguments are cryptographic protocols that enable an untrusted
prover to provide a guarantee that it performed a requested computation correctly …

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 …

Customizable constraint systems for succinct arguments

S Setty, J Thaler, R Wahby - Cryptology ePrint Archive, 2023 - eprint.iacr.org
This paper introduces customizable constraint system (CCS), a generalization of R1CS that
can simultaneously capture R1CS, Plonkish, and AIR without overheads. Unlike existing …

Proofs for inner pairing products and applications

B Bünz, M Maller, P Mishra, N Tyagi… - Advances in Cryptology …, 2021 - Springer
We present a generalized inner product argument and demonstrate its applications to
pairing-based languages. We apply our generalized argument to prove that an inner pairing …

Time-and space-efficient arguments from groups of unknown order

AR Block, J Holmgren, A Rosen, RD Rothblum… - Advances in Cryptology …, 2021 - Springer
We construct public-coin time-and space-efficient zero-knowledge arguments for NP NP. For
every time T and space S non-deterministic RAM computation, the prover runs in time T ⋅ …

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 …

SuperNova: Proving universal machine executions without universal circuits

A Kothapalli, S Setty - Cryptology ePrint Archive, 2022 - eprint.iacr.org
This paper introduces SuperNova, a new recursive proof system for incrementally producing
succinct proofs of correct execution of programs on a stateful machine with a particular …

[PDF][PDF] Brakedown: Linear-time and post-quantum SNARKs for R1CS.

A Golovnev, J Lee, STV Setty, J Thaler… - IACR Cryptol. ePrint …, 2021 - scholar.archive.org
This paper introduces Brakedown, 1 the first built system that provides linear-time SNARKs
for NP, meaning the prover incurs O (N) finite field operations to prove the satisfiability of an …

Gemini: Elastic SNARKs for diverse environments

J Bootle, A Chiesa, Y Hu, M Orru - … on the Theory and Applications of …, 2022 - Springer
We introduce a new class of succinct arguments, that we call elastic. Elastic SNARKs allow
the prover to allocate different resources (such as memory and time) depending on the …