Lagrange – The Pioneering ZK Infrastructure for Data Verification and AI for the Web3 Era

In an era where AI and blockchain are increasingly dominating the technology fields, the verification of the accuracy and reliability of data has become more important than ever. When an AI model provides results, how do we know it hasn't been tampered with? When a smart contract requires off-chain data (, how can we ensure that the data is correct and not forged? Lagrange was created to answer these questions – by combining Zero-Knowledge Proof technology with an advanced decentralized infrastructure model, in order to build a reliable verification platform for the future of Web3 and AI. What is Lagrange? Lagrange is a pioneering infrastructure platform in the field of Zero-Knowledge )ZK(, designed to become a "universal prover" – a versatile verification engine for all blockchain applications, AI, and more. This is the first AVS )Actively Validated Service( on EigenLayer – a prominent restaking platform on Ethereum. Lagrange leverages the security of Ethereum's restaking system to provide ZK proof generation) in a decentralized manner, scaling flexibly and optimizing performance. Highlights of Lagrange The biggest highlight of Lagrange is its modular architecture (modular) – something that most current ZK systems have yet to achieve. Instead of relying on a centralized access gateway (single Gateway), Lagrange operates through independent subnetworks (modular subnetworks) – helping to eliminate bottlenecks, increase parallel processing capability, and allow for unlimited horizontal scalability. With this design, any blockchain, rollup, or dApp can easily integrate Lagrange's verification service to serve various needs such as: Complex on-chain data queryVerification result AICross-chain communication (cross-chain)Automating smart contracts with verification data Lagrange's Operating Model

1. ZK Prover Network This is a network of proof generators (ZK prover) that is completely decentralized, consisting of over 85 operators on EigenLayer. The system is designed to be modular, with multiple subnets serving various proof requirements. In particular, the resource allocation is coordinated by the DARA (Double Auction Resource Allocation) mechanism – a double auction system that helps balance the interests between the requesting party and the supplying party, prevents collusion, and increases the efficiency of resource use.

2. ZK Coprocessor ZK Coprocessor is a tool that allows for complex SQL queries on blockchain data, with output as verifiable proofs. The data is indexed and reorganized in a ZK-friendly manner, after which queries are processed according to the zkMapReduce model inspired by Google's MapReduce (. The result is packaged into a ZK proof, allowing the smart contract to verify without the need for intermediaries or bridges – it can even securely query cross-chain data ).

3. DeepProve – zkML solution DeepProve is an important extension of Lagrange, providing zkML solutions – allowing for the verification of AI model outputs through ZK proofs. This is particularly useful for AI applications that require high reliability such as: AI models in DeFi, AI risk analysis for predictions in gaming, Machine learning for DAO governance Outstanding Features of Lagrange Modular Prover Network: Modular proof generation network, eliminating bottlenecks, easily and flexibly scalable. DARA Mechanism: Transparent and fair dual auction system for computing resource distribution. ZK Coprocessor + zkMapReduce: Query on-chain data in SQL format with verifiable ZK proofs. DeepProve – zkML: Verify AI outputs with ZK proofs – ready for practical deployment. Universal Proving Support: Cross-platform support – from AI, Rollups to cross-chain applications. Compatible with Plonky2, Plonky3, Boojum, and other modern ZK libraries. The Future of Lagrange: Core Infrastructure for Web3 & AI In the context of increasingly complex data and the rapid development of AI, the verification of the accuracy of data, models, and results has become a mandatory requirement. Lagrange not only provides an effective technical solution but also brings trust – a core factor in any decentralized system. With the ability to connect multi-chain data, verification of AI results, and processing verifiable queries, Lagrange is reshaping how we build and operate Web3 applications in the future. $LA @lagrangedev #lagrange {spot}(LAUSDT)