👉 Interface math, also known as interface algebra or interface calculus, is a formalism used to describe and reason about the interactions between different components of a system, particularly in software engineering and distributed systems. It focuses on defining the relationships and behaviors of interfaces—abstract contracts that specify how components communicate without detailing their internal implementations. This approach allows developers to reason about the correctness of interactions, ensuring that components adhere to their specified contracts. By abstracting away implementation details, interface math facilitates modular design, easier testing, and improved system maintainability. It uses mathematical structures like categories and functors to model these interactions, providing a rigorous framework for understanding and verifying the behavior of complex systems.
