Iowa Type Theory Commute

The Basic Lemma


Listen Later

Also known as the Fundamental Property, this is a theorem stating that for every well-typed term t : T, and every logical relation R between algebraic structures A and B, the meaning of t in A is related by R to the meaning of t in B.  I view it as a straightforward semantic soundness property, but where the semantics of types is this somewhat interesting one that interprets types as binary relations on structures A and B.  I muse on these matters a bit in the episode.

...more
View all episodesView all episodes
Download on the App Store

Iowa Type Theory CommuteBy Aaron Stump

  • 5
  • 5
  • 5
  • 5
  • 5

5

19 ratings


More shows like Iowa Type Theory Commute

View all
The Changelog: Software Development, Open Source by Changelog Media

The Changelog: Software Development, Open Source

289 Listeners

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas by Sean Carroll | Wondery

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

4,175 Listeners

Interesting Times with Ross Douthat by New York Times Opinion

Interesting Times with Ross Douthat

7,230 Listeners

Tech Won't Save Us by Paris Marx

Tech Won't Save Us

571 Listeners

Dwarkesh Podcast by Dwarkesh Patel

Dwarkesh Podcast

508 Listeners

The Ezra Klein Show by New York Times Opinion

The Ezra Klein Show

15,984 Listeners

The Haskell Interlude by Haskell Podcast

The Haskell Interlude

13 Listeners

Software Unscripted by Richard Feldman

Software Unscripted

29 Listeners

Oxide and Friends by Oxide Computer Company

Oxide and Friends

62 Listeners