5 citations · 6 across the 2 of their papers we have counts for
3 papers
cs.LO2021★ 1 cited
Normalization for multimodal type theory
Daniel Gratzer
We consider the conversion problem for multimodal type theory (MTT) by characterizing the normal forms of the type theory and proving normalization. Normalization follows from a no…
cs.LO2020★ 5 cited
Syntactic categories for dependent type theory: sketching and adequacy
Daniel Gratzer, Jonathan Sterling
We argue that locally Cartesian closed categories form a suitable doctrine for defining dependent type theories, including non-extensional ones. Using the theory of sketches, one m…
cs.LO2019
Cubical Syntax for Reflection-Free Extensional Equality
Jonathan Sterling, Carlo Angiuli, Daniel Gratzer
We contribute XTT, a cubical reconstruction of Observational Type Theory which extends Martin-Löf's intensional type theory with a dependent equality type that enjoys function exte…