A Taste of Type Theory

Explore the foundations of type theory in programming through this 54-minute conference talk from YOW! 2019. Delve into the deep-rooted connections between types in programming and mathematics, covering topics such as algebraic data types, inductive types, and dependent types. Learn about equalities, natural numbers, and the Curry-Howard correspondence. Discover identity types and their elimination, and gain insights into homotopy type theory. Conclude with a discussion on Zeno's Paradox and its relation to type theory. Enhance your understanding of the theoretical underpinnings of programming languages and their mathematical foundations.

Introduction
Outline
Equalities
Natural Numbers
Dependent Types
Induction on Nats
Curry Howard
Identity Type
refl
Elimination
Zeno's Paradox