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Erschienen in:
2013 | OriginalPaper | Buchkapitel
π n (S n ) in Homotopy Type Theory
verfasst von : Daniel R. Licata, Guillaume Brunerie
Erschienen in: Certified Programs and Proofs
Verlag: Springer International Publishing
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Homotopy type theory [Awodey and Warren, 2009; Voevodsky, 2011] is an extension of Martin-Löf’s intensional type theory [Martin-Löf, 1975; Nordström et al., 1990] with new principles such as Voevodsky’s univalence axiom and higher-dimensional inductive types [Lumsdaine and Shulman, 2013]. These extensions are interesting both from a computer science perspective, where they imbue the equality apparatus of type theory with new computational meaning, and from a mathematical perspective, where they allow higher-dimensional mathematics to be expressed cleanly and elegantly in type theory.