Calculus of constructions

The Calculus of Constructions is a theoretical framework in computer science and mathematics that combines concepts from logic, type theory, and functional programming. It provides a foundation for defining and manipulating various types of data and structures using a unified approach. Essentially, it allows for the creation of programs that can be verified for correctness through mathematical reasoning. By treating types as first-class citizens, it helps in constructing complex systems and ensuring that they behave as intended by utilizing formal proofs and logical reasoning. This framework is influential in the development of programming languages and proof assistants.