zkDaily - 2026-06-09

零知识证明 zkDaily

ZKP Frontier Tracker 🎯

Tue

06.09

2026

SoK: PIOP-based SNARKs for General Computation

Paper

https://eprint.iacr.org/2026/1133

Yonghui Guan PIOP PCS

Zhang et al. systematized PIOP-based SNARKs for general computation in , proposing a unified framework that refines frontend-backend decomposition and integrates lookup arguments and recursive composition.

Notes

PIOP combined with PCS is the dominant SNARK paradigm
Proposes a unified framework refining Thaler's frontend-backend decomposition at finer granularity
Incorporates lookup arguments as core components
Integrates recursive proof composition for improved efficiency and applicability
Systematically analyzes component interactions to clarify modern SNARK construction

Collected by @icerdesign

零知识证明 zkDaily

Q&A Deep Dive 💬

Tue

06.09

2026

What is a PIOP-based SNARK?

A PIOP-based SNARK is a mainstream zkSNARK design paradigm that combines a Polynomial Interactive Oracle Proof (PIOP) with a Polynomial Commitment Scheme (PCS) to achieve compact proofs and efficient verification.

What are the roles of PIOP and PCS?

PIOP translates computation correctness into polynomial constraints, while PCS provides commitments and proofs for polynomial evaluations. Together they form a complete SNARK system.

What does the frontend/backend decomposition mean?

The frontend converts computations into polynomial constraints, while the backend uses PCS and cryptographic techniques to produce succinct proofs. This separation helps unify the analysis of different SNARK designs.

Prompted by @icerdesign