We present a new zero-knowledge succinct argument of knowledge (zkSNARK) scheme for
Rank-1 Constraint Satisfaction (RICS), a widely deployed NPcomplete language that …

This paper introduces Spartan, a new family of zero-knowledge succinct non-interactive
arguments of knowledge (zkSNARKs) for the rank-1 constraint satisfiability (R1CS), an NP …

Zero-Knowledge Succinct Non-Interactive Argument of Knowledge (zk-SNARK) is a practical
zero-knowledge proof system for Rank-1 Constraint Satisfaction (R1CS), enabling privacy …

We study the problem of building non-interactive proof systems modularly by linking small
specialized" gadget" SNARKs in a lightweight manner. Our motivation is both theoretical and …

Zero knowledge proofs are an important building block in many cryptographic applications.
Unfortunately, when the proof statements become very large, existing zero-knowledge proof …

We present a new succinct zero knowledge argument scheme for layered arithmetic circuits
without trusted setup. The prover time is O (C+ nlogn) and the proof size is O (D logC+ log 2 …

Zk-SNARKs (succinct non-interactive zero-knowledge arguments of knowledge) are needed
in many applications. Unfortunately, all previous zk-SNARKs for interesting languages are …

Succinct non-interactive zero-knowledge arguments of knowledge (Zk-SNARKs) are needed
in many applications. Unfortunately, all previous zk-SNARKs for interesting languages are …

We design, implement, and evaluate a zero knowledge succinct non-interactive argument
(SNARG) for Rank-1 Constraint Satisfaction (R1CS), a widely-deployed NP language …

This paper studies zero-knowledge SNARKs for NP, where the prover incurs $ O (N) $ finite
field operations to prove the satisfiability of an $ N $-sized R1CS instance. We observe that …