In today's rapidly developing artificial intelligence landscape, we should not only focus on the computational power of AI but also emphasize the credibility of its results. The innovative technology launched by Lagrange is designed to address this critical issue.

DeepProve, as the zkML framework of Lagrange, can provide mathematical proof for the output of AI models, ensuring that the results indeed come from specific models and inputs. This technology not only guarantees the traceability of AI inference but also stands out in the industry with its excellent speed performance.

At the same time, the ZK Coprocessor developed by Lagrange brings new possibilities to smart contracts. It allows contracts to execute complex off-chain queries and generate verifiable results returned to the blockchain. This functionality greatly expands the application scope of smart contracts, especially suitable for enterprise-level scenarios that require integration with traditional financial systems and data services.

Lagrange's economic model design is also quite innovative. By associating the LA token with proof services, a virtuous cycle of the proof market is formed. Users purchase proof services using LA, and validators receive LA token rewards for providing services. Additionally, the ecosystem includes several designs such as staking, penalty mechanisms, and decentralized governance, aimed at establishing a healthy and sustainable ecosystem.

In the current era of rapid development of AI technology, ensuring its credibility and transparency has become increasingly important. Lagrange provides credibility assurance for AI and finance fields through zero-knowledge proof technology, promoting the entire industry towards a more transparent and reliable direction. This technology is not just an innovation, but also an important component of the trust foundation in the future digital world.