27 citations · 102 across the 13 of their papers we have counts for
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cs.LO2017★ 2 cited
Decomposing the Univalence Axiom
Ian Orton, Andrew M. Pitts
This paper investigates Voevodsky's univalence axiom in intensional Martin-Löf type theory. In particular, it looks at how univalence can be derived from simpler axioms. We first p…
cs.LO2017★ 19 cited
Axioms for Modelling Cubical Type Theory in a Topos
Ian Orton, Andrew M. Pitts
The homotopical approach to intensional type theory views proofs of equality as paths. We explore what is required of an object in a topos to give such a path-based model of ty…