The Type Theory Podcast

Episode 6: Aaron Stump on Cedille

Episode 5: Bob Constable on CTT and Nuprl

In our fourth episode, we speak with Stephanie Weirich from the University of Pennsylvania on the Zombie language and Dependent Haskell. Stephanie is a long-time contributor to Haskell, having been involved in the design and implementation of features such as generalized algebraic datatypes, higher-rank polymorphism, type families, and promoted datatypes. She has also been a participant in Trellys, a project with the goal of combining proofs and programming in the same language. Zombie is a different kind of dependently typed language, eschewing automatic β-reduction in the type checker for an approach based on explicit equality rewriting, which enables new ways of combining proofs and programs, as well as new forms of proof automation. Meanwhile, as languages designed for dependently typed programming come closer to practical applicability, Haskell is also moving towards full dependent types. We discuss the challenges and opportunities available at the cutting edge of Haskell.

Episode 3: Dan Licata on Homotopy Type Theory

In our second episode, we speak with Edwin Brady from the University of St. Andrews. Since 2008, Edwin has been working on Idris, a functional programming language with dependent types. This episode is very much about programming: we discuss the language Idris, its history, its implementation strategies, and plans for the future.

We speak with Peter Dybjer about the relationship between QuickCheck-style testing and proofs and verification in type theory.