Categorical univalence of a universe does not entail function extensionality, as shown by polynomial models of type theory that refute the latter while satisfying the former.
Title resolution pending
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 4verdicts
UNVERDICTED 4roles
background 1polarities
background 1representative citing papers
Generalizes categorical theories to coherent theories and proves a duality identifying the 2-category of categorical pretopoi with profinite monoids, further realizing the latter as a full sub-2-category of topoi via classifying topos.
Categorical models of Differential Linear Logic are expressed as pairs of Grothendieck fibrations equipped with a tangent functor by adapting type-theory semantics to linear-non-linear adjunctions, as a first step toward unifying DiLL with dependent types.
This paper overviews monads in 2-categories and defines two new double categories of monads extending Lack and Street's 2-categories of monads.
citing papers explorer
-
Univalence without function extensionality
Categorical univalence of a universe does not entail function extensionality, as shown by polynomial models of type theory that refute the latter while satisfying the former.
-
Duality theory for categorical theories
Generalizes categorical theories to coherent theories and proves a duality identifying the 2-category of categorical pretopoi with profinite monoids, further realizing the latter as a full sub-2-category of topoi via classifying topos.
-
A Fibrational Perspective on Differential Linear Logic
Categorical models of Differential Linear Logic are expressed as pairs of Grothendieck fibrations equipped with a tangent functor by adapting type-theory semantics to linear-non-linear adjunctions, as a first step toward unifying DiLL with dependent types.
-
Monads in 2-categories
This paper overviews monads in 2-categories and defines two new double categories of monads extending Lack and Street's 2-categories of monads.