Axioms for Modelling Cubical Type Theory in a Topos
The homotopical approach to intensional type theory views proofs of equality as paths. We explore what is required of an object $I$ in a topos to give such a path-based model of type theory in which paths are just functions with domain $I$. Cohen, Coquand, Huber and M\"ortberg give such a model...
Main Authors: | Ian Orton, Andrew M. Pitts |
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Format: | Article |
Language: | English |
Published: |
Logical Methods in Computer Science e.V.
2018-12-01
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Series: | Logical Methods in Computer Science |
Subjects: | |
Online Access: | https://lmcs.episciences.org/4491/pdf |
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