A Cubical Model of Homotopy Type Theory.¶
Awodey, S. (2018). A Cubical Model of Homotopy Type Theory. 169(12), 1270-1294.
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Domain-specific¶
- Cubical Set
- Awodey develops a cartesian cubical model of homotopy type theory, while Cohen, Coquand, Huber, and Mörtberg use a richer cubical model to give constructive computational meaning to univalence and to handle function extensionality and selected higher inductive types.
This sourceDefines cartesian cubical sets as a presheaf category and develops interval/path semantics.
- Awodey develops a cartesian cubical model of homotopy type theory, while Cohen, Coquand, Huber, and Mörtberg use a richer cubical model to give constructive computational meaning to univalence and to handle function extensionality and selected higher inductive types.
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