A model of type theory in cubical sets

Type theory Constructive
DOI: 10.4230/lipics.types.2013.107 Publication Date: 2014-01-01
ABSTRACT
We present a model of type theory with dependent product, sum, and identity, in cubical sets. describe universe and explain how to transform an equivalence between two types into equality. We also how to propositional truncation the circle. While not expressed internally theory, is constructive metalogic. Thus it step towards computational interpretation Voevodsky's Univalence Axiom.
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