Notes

• M3 arithmetization uses tables and channels instead of traditional execution traces to build and verify complex calculations.
• MerkleTreeCS contains 5 tables and 3 channels to ensure verification correctness.
• Tables handle different cases of Merkle path verification.
• Channels are responsible for data flow and key communication during the verification process.
• M3 arithmetization does not depend on global execution traces but verifies through channel balance.
• Through specific examples, it shows how to build a Merkle tree and verify paths.

• M3算术化通过表格和通道而非传统的执行轨迹来构建和验证复杂计算。
• MerkleTreeCS包含5个表格和3个通道，确保验证正确。
• 不同表格分别处理不同情况下的Merkle路径验证。
• 通道负责数据流动和验证过程中的关键通信。
• M3算术化不依赖全局执行轨迹，而通过通道平衡来验证。
• 通过具体示例展示了如何构建Merkle树和验证路径。