Develops constructive higher sheaf models of type theory to support synthetic mathematics with univalence and higher inductive types.
Formalizing Category Theory and Presheaf Models of Type Theory in Nuprl
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abstract
This article is the first in a series of articles that explain the formalization of a constructive model of cubical type theory in Nuprl. In this document we discuss only the parts of the formalization that do not depend on the choice of base category. So, it spells out how we make the first steps of our formalization of cubical type theory.
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cs.LO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Constructive higher sheaf models with applications to synthetic mathematics
Develops constructive higher sheaf models of type theory to support synthetic mathematics with univalence and higher inductive types.