• Iowa Type Theory Commute

  • Written by: Aaron Stump
  • Podcast

Iowa Type Theory Commute

Written 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.
    © 2025 Iowa Type Theory Commute
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Mathematics Science
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Episodes
  • Nominal Isabelle/HOL

    Nominal Isabelle/HOL
    Jan 31 2025

    In this episode, I discuss the paper Nominal Techniques in Isabelle/HOL, by Christian Urban. This paper shows how to reason with terms modulo alpha-equivalence, using ideas from nominal logic. The basic idea is that instead of renamings, one works with permutations of names.

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    16 mins
  • The Locally Nameless Representation

    The Locally Nameless Representation
    Jan 3 2025

    I discuss what is called the locally nameless representation of syntax with binders, following the first couple of sections of the very nicely written paper "The Locally Nameless Representation," by Charguéraud. I complain due to the statement in the paper that "the theory of λ-calculus identifies terms that are α-equivalent," which is simply not true if one is considering lambda calculus as defined by Church, where renaming is an explicit reduction step, on a par with beta-reduction. I also answer a listener's question about what "computational type theory" means.

    Feel free to email me any time at aaron.stump@bc.edu, or join the Telegram group for the podcast.

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    20 mins
  • POPLmark Reloaded, Part 2

    POPLmark Reloaded, Part 2
    Dec 23 2024

    I continue the discussion of POPLmark Reloaded , discussing the solutions proposed to the benchmark problem. The solutions are in the Beluga, Coq (recently renamed Rocq), and Agda provers.
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    14 mins

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