Start / Iowa Type Theory Commute / Logical relations are not closed under composition

Iowa Type Theory Commute

Logical relations are not closed under composition

10 min • 31 augusti 2020

In this episode, I talk through a small (but intricate) example from a paper titled "Pre-logical relations" by Honsell and Sannella, showing that the set of logical relations is not closed under composition.  That is, you can have a logical relation between structure A and structure B, and one between B and C, but the composition (while a relation) is not a logical relation between A and C.  This took me three takes to get to where I wasn't tripping over my tongue, so enjoy.

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