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EPISODE · Aug 31, 2020 · 10 MIN

Logical relations are not closed under composition

from Iowa Type Theory Commute · host Aaron Stump

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.

Episode metadata supplied by the publisher feed · Published Aug 31, 2020

What this episode covers

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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This episode was published on August 31, 2020.

What is this episode about?

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...

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