devcon 7 / clookup composite function based lookup argument
- YouTube
- Details
Clookup - Composite Function based Lookup Argument
Duration: 00:15:16
Speaker: Wanseob Lim
Type: Talk
Expertise: Expert
Event: Devcon
Date: Nov 2024
Presenting Clookup, a novel lookup protocol that enhances efficiency in verifiable computations. By using a composite function approach and multivariate polynomials within the sumcheck protocol, Clookup achieves optimal time complexity \(O(m(m+n))\) when processing \(2^m\) witness elements against a \(2^n\) table. This method eliminates the need to compute coefficient forms of composite functions.
Categories
- Related
Devcon
Talk
19:46
Keynote: The Universal Cryptographic Adapter
The "secret" third affordance of Zero-Knowledge proof after 1) Privacy and 2) Succinctness is Interoperability. ZK enables us to continuously refactor data, aggregate it from different sources, and transforming it without loosing its integrity. Starting with the Zupass project, and now with the broader adoption of the POD and GPC format, 0xPARC has been exploring using ZK for data sovereignty and creating more interoperable data ecosystem. We will cover our learnings and progress in this talk.
Devcon
Talk
25:17
Keynote: Programmable Cryptography and Ethereum
Programmable Cryptography is a "second generation" of cryptographic primitives - primitives that allow arbitrary programs to be executed "inside of" or "on top of" cryptographic objects. Programmable cryptography provides three key affordances that complement and amplify the affordances of Ethereum--verifiability, confidentiality, and non-interactivity. We'll discuss how these technologies can reshape the Internet over the next 50 years.
Devcon
Talk
23:20
Non-Native Arithmetic via CRT Codes
Non-native arithmetic is an important and costly operation in SNARKs. It is essential for proving validity of general cryptographic data like RSA signatures, non-native elliptic curve arithmetic like secp256r1, and general SNARK proof composition. We investigate a new approach to prove non-native integer arithmetic using Residue Number Systems and a batch proximity test for Chinese Remainder Theorem (CRT) codes, as well as surprising connections to STARK soundness.
Devcon
Talk
23:05
Folding STARKs with the Mova folding scheme
We will present a new folding scheme that is 5 to 10 times more efficient than Nova, and 2.5 to 4 times more efficient than Hypernova. We will then explain how to use the scheme so as to construct a folding scheme for STARK proofs.
Devcon
Talk
23:16
hallucinated servers another prog crypto chip
An introduction to programmable cryptography, culminating in the dream of a "hallucinated server".
Devcon
Talk
23:12
Lessons from integrating LogUp-GKR in the Miden VM
In this talk we will describe how to modify the STARK protocol to prove multiset checks using the GKR protocol. We will take a deep dive of the approach we’ve taken to implement it in the Miden VM, covering the benefits and challenges we've experienced.
Devcon
Talk
15:17
Circom buses: a new journey
Circom is one of the most widely used languages in programmable cryptography. In this talk we present an amazing new circom feature, called buses. Like structs in other languages, programmers can define their own buses, as new types, in a general way to create structured collections of signals and freely use them in their code. Buses increase the readability, modularity and security of circuits. Illustrative examples as well as the renewed circomlib, using buses, are presented.
Devcon
Talk
25:18
Elliptic curves and SNARKs: past, present and future.
Elliptic curves are used in many proof systems. Some systems (e.g. Bulletproofs) use plain curves (e.g. ed25519). Some (e.g. Groth16, KZG-PLONK) use pairing-friendly curves (e.g. BLS12-381). Some recursive systems require pairing-friendly 2-cycle (e.g. MNT4/6) or 2-chains (e.g. BLS12-377/BW6-761). Some other recursive/folding systems require plain 2-cycle (e.g. Pasta). In this talk we will go through the difference between these curves and why there isn't a silver bullet curve for all scenarios.
Devcon
Talk
27:50
The verifiability vision
Imagine all data was guaranteed to be correct. We could build a trustworthy digital world based only on correct data. In this presentation, we will sketch layers and techniques that can realize this dream, in particular proof carrying data and succinct proofs. We will also discuss the connection to the proof singularity vision for Ethereum as well as highlight caveats that apply; humanity is still in the early stages of the journey and there are obstacles and constraints to tackle
Devcon
Talk
25:10
Efficient non-native SNARK recursion using bivariate polynomial testing
Efficient SNARK recursion requires switching between pairing friendly elliptic curves. In most optimal approaches these curves would construct a cycle, but there are no such known cycles. Instead, we use non-native arithmetic to brute force the pairing computation at the cycle cut-off. We describe an approach for combining direct field extension with polynomial-based non-native arithmetic. This reduces pairing computation to bivariate polynomial identity testing using Schwartz-Zippel lemma.