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07/12/2023
Internal parametricity, without an interval
Parametricity is a property of the syntax of type theory implying e.g. t...
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03/05/2023
Semantics of multimodal adjoint type theory
We show that contrary to appearances, Multimodal Type Theory (MTT) over ...
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02/24/2022
Strict universes for Grothendieck topoi
Hofmann and Streicher famously showed how to lift Grothendieck universes...
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02/15/2022
The directed plump ordering
Based on Taylor's hereditarily directed plump ordinals, we define the di...
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06/29/2021
LNL polycategories and doctrines of linear logic
We define and study LNL polycategories, which abstract the judgmental st...
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02/11/2021
The Univalence Principle
The Univalence Principle is the statement that equivalent mathematical s...
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04/17/2020
*-autonomous envelopes and 2-conservativity of duals
We show the doctrine of ∗-autonomous categories is "2-conservative" over...
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04/17/2020
*-autonomous envelopes
We show that every closed symmetric monoidal category can be fully embed...
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04/14/2020