Iowa Type Theory Commute cover art

Iowa Type Theory Commute

Iowa Type Theory Commute

By: Aaron Stump
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Summary

Aaron Stump talks about type theory, computational logic, and related topics in Computer Science on his short commute.© 2026 Iowa Type Theory Commute Mathematics Science
Episodes
  • A Strange Deal, Explained
    May 7 2026

    I explain the story from last episode.

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    8 mins
  • A Strange Deal
    May 1 2026

    The Curry-Howard isomorphism for the law of excluded middle, as a radio drama. I first saw a version of this story performed by Phil Wadler and Frank Pfenning (wearing fake horns!) at RTA in Nara, Japan in 2005. This is my take on it. In a subsequent episode, I will explain how the story illustrates the computational interpretation of the law of excluded middle.

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    3 mins
  • Great paper: The Calculated Typer
    Apr 20 2026

    I discuss a nice paper I quite enjoyed reading, called The Calculated Typer, by Garby, Bahr, and Hutton. The authors take a very nice general look at the specification of a type checker, for a very simple expression language. They then manually derive the actual code for the type checker by effectively trying to prove that this as yet unknown code satisfies its spec. (This is what is meant by calculating the type checker.)

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    24 mins
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