Cubical Type Theory

Cubical Type Theory is a branch of mathematical logic and computer science that provides a framework for understanding types, which can be thought of as categories for different kinds of data. It extends traditional type theories by incorporating a geometric perspective, allowing for a more intuitive representation of mathematical concepts. This approach helps in the formalization of proofs and the development of programming languages by using "cubes" to represent relationships and transformations in data. As a result, it enhances the expressiveness and flexibility of both formal reasoning and software development.