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arxiv: 1806.06114 · v1 · submitted 2018-06-15 · 💻 cs.LO

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Formalizing Category Theory and Presheaf Models of Type Theory in Nuprl

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classification 💻 cs.LO
keywords theoryformalizationtypecategorycubicalfirstnuprlarticle
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Constructive higher sheaf models with applications to synthetic mathematics

    cs.LO 2026-05 unverdicted novelty 7.0

    Constructive higher sheaf models of type theory with univalence and higher inductive types are constructed to underpin synthetic mathematics.