Corpus ID: 119234532

From Multisets to Sets in Hotmotopy Type Theory

@inproceedings{Gylterud2016FromMT,
  title={From Multisets to Sets in Hotmotopy Type Theory},
  author={Haakon Robbestad Gylterud},
  year={2016}
}
  • Haakon Robbestad Gylterud
  • Published 2016
  • Mathematics
  • We give a model of set theory based on multisets in homotopy type theory. The equality of the model is the identity type. The underlying type of iterative sets can be formulated in Martin-L\"of type theory, without Higher Inductive Types (HITs), and is a sub-type of the underlying type of Aczel's 1978 model of set theory in type theory. The Voevodsky Univalence Axiom and mere set quotients (a mild kind of HITs) are used to prove the axioms of constructive set theory for the model. We give an… CONTINUE READING

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