Homotopy Type Theory (HoTT) is a branch of mathematical logic that combines concepts from homotopy theory and type theory. It provides a framework for understanding mathematical structures through types, which can represent both objects and their relationships. HoTT allows mathematicians to reason about spaces and their transformations in a way that is more flexible than traditional set theory. The foundations of HoTT are built on the idea that types can be viewed as spaces, and paths between points in these spaces represent equalities. This perspective leads to new insights in areas such as category theory and formal verification, enabling more robust proofs and a deeper understanding of mathematical concepts.