2024
DOI: 10.46298/lmcs-20(2:16)2024
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Transpension: The Right Adjoint to the Pi-type

Andreas Nuyts,
Dominique Devriese

Abstract: Presheaf models of dependent type theory have been successfully applied to model HoTT, parametricity, and directed, guarded and nominal type theory. There has been considerable interest in internalizing aspects of these presheaf models, either to make the resulting language more expressive, or in order to carry out further reasoning internally, allowing greater abstraction and sometimes automated verification. While the constructions of presheaf models largely follow a common pattern, approaches towards intern… Show more

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