Paper 2020/1527
Zero-Knowledge IOPs with Linear-Time Prover and Polylogarithmic-Time Verifier
Jonathan Bootle and Alessandro Chiesa and Siqi Liu
Abstract
Interactive oracle proofs (IOPs) are a multi-round generalization of probabilistically checkable proofs that play a fundamental role in the construction of efficient cryptographic proofs. We present an IOP that simultaneously achieves the properties of zero knowledge, linear-time proving, and polylogarithmic-time verification. We construct a zero-knowledge IOP where, for the satisfiability of an $N$-gate arithmetic circuit over any field of size $\Omega(N)$, the prover uses $O(N)$ field operations and the verifier uses $\polylog(N)$ field operations (with proof length $O(N)$ and query complexity $\polylog(N)$). Polylogarithmic verification is achieved in the holographic setting for every circuit (the verifier has oracle access to a linear-time-computable encoding of the circuit whose satisfiability is being proved). Our result implies progress on a basic goal in the area of efficient zero knowledge. Via a known transformation, we obtain a zero knowledge argument system where the prover runs in linear time and the verifier runs in polylogarithmic time; the construction is plausibly post-quantum and only makes a black-box use of lightweight cryptography (collision-resistant hash functions).
Metadata
- Available format(s)
- Category
- Foundations
- Publication info
- Preprint. MINOR revision.
- Keywords
- interactive oracle proofszero knowledgesuccinct arguments
- Contact author(s)
- jbt @ zurich ibm com,alexch @ berkeley edu,sliu18 @ berkeley edu
- History
- 2022-06-02: last of 3 revisions
- 2020-12-08: received
- See all versions
- Short URL
- https://ia.cr/2020/1527
- License
-
CC BY