Mathematical Correctness in DeFi

Mathematical correctness in decentralized finance refers to the requirement that the economic logic of a protocol is free from contradictions or unintended behaviors. This encompasses the accuracy of automated market maker formulas, interest rate models, and collateralization requirements.

When a protocol is mathematically correct, its internal accounting remains balanced regardless of the volume or direction of trade. It prevents scenarios where the protocol might issue more debt than it can cover or allow for price manipulation.

Achieving this requires rigorous mathematical modeling of the protocol's state machine. It is the foundation of trust in trustless financial systems.