Terminating Computation First?

Iowa Type Theory Commute by Aaron Stump

Aug 1, 202511:27Technology

In this episode, I discuss an intriguing idea proposed by Victor Taelin, to base a logically sound type theory on an untyped but terminating language, upon which one may then erect as exotic a type system as one wishes....

Related Episodes

Continue listening to more episodes from Iowa Type Theory Commute.

Autoformalization of Fermat's Last Theorem

Sep 15, 2026 - 14:25

In this episode, I reflect on the recent announcement that Anthropic researchers have autoformalized the...

A Fireball of Alpha

Aug 21, 2026 - 20:09

I talk about my efforts to formalize lambda-calculus with named variables and explicit alpha-equivalence,...

Solving Quadratic Word Equations

Aug 11, 2026 - 22:45

A system of word equations is called quadratic if no variable occurs more than twice in it. There is an i...

A little bit about word equations

Aug 3, 2026 - 17:14

The problem of word equations is a rather storied one, including frustrated connections to Hilbert's Tent...

Coercive subtyping and coherence

Jul 1, 2026 - 20:30

In this episode, I give further arguments in favor of coercive subtyping from a software-engineering pers...

A Strange Deal, Explained

May 7, 2026 - 8:23

I explain the story from last episode.

A Strange Deal

Apr 30, 2026 - 2:57

The Curry-Howard isomorphism for the law of excluded middle, as a radio drama. I first saw a version of t...

Great paper: The Calculated Typer

Apr 20, 2026 - 23:41

I discuss a nice paper I quite enjoyed reading, called The Calculated Typer , by Garby, Bahr, and Hutton....