SNARK Design Part III with Justin Thaler | a16z crypto research talks

TL;DR

SNARKs provide a way to prove the knowledge of a witness without revealing it, using polynomial IOPs for efficient verification.

Transcript

so I'm going to kind of in this talk give a more technical in-depth uh overview of how snarks actually work kind of under the hood um but I do want to talk to be self-contained so uh I'm gonna spend the first maybe five or ten minutes just kind of recapping um kind of my the first two talks I gave at a16z um which were much higher level um they wer... Read More

Key Insights

• 💨 SNARKs provide a way to prove knowledge without revealing it, ensuring privacy and confidentiality.
• 🤩 Polynomial IOPs are a key component of SNARKs, allowing for efficient proof verification.
• 💨 The desired properties of a snark include fast prover and verifier, short proofs, transparency, and potential security against quantum computers.
• 🔒 The choice of polynomial IOP and polynomial commitment scheme affects the efficiency and security of the snark.

Questions & Answers

Q: What is the main purpose of SNARKs?

SNARKs allow a prover to prove knowledge of a witness without revealing it to a verifier, ensuring privacy while providing verification.

Q: How do polynomial IOPs work in SNARKs?

In polynomial IOPs, the prover sends a polynomial that extends a correct transcript of the computation. The verifier checks the proof by evaluating the polynomial and verifying its properties.

Q: What are the desired properties of a snark?

A snark should have a fast prover, fast verifier, and short proofs. It should also ideally be transparent, secure against quantum computers, and work over any large enough field.

Q: Are there any known snarks that achieve all desired properties?

Currently, there are no snarks known to achieve all desired properties simultaneously, but ongoing research aims to get as close to the ideal as possible.

Summary & Key Takeaways

• SNARKs (Succinct Non-Interactive Arguments of Knowledge) are protocols that allow a prover to prove knowledge of a witness without revealing it to a verifier.

• A key concept in SNARKs is the use of polynomial IOPs (Interactive Oracle Proofs), where the prover sends a polynomial that extends a correct transcript of the computation.

• The verifier checks the proof by evaluating the polynomial and verifying its properties, such as vanishing over certain inputs.

• The overall goal is to create a snark with a fast prover, fast verifier, and short proofs, while being transparent and potentially secure against quantum computers.