Article Dans Une Revue Mathematical Structures in Computer Science Année : 2015

A dependently-typed construction of semi-simplicial types

Résumé

This paper presents a dependently-typed construction of semi-simplicial sets in type theory where sets are taken to be types. This addresses an open question raised on the wiki of the special year on Univalent Foundations at the Institute of Advanced Study (2012-2013).

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hal-00935446 , version 1 (23-01-2014)

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Hugo Herbelin. A dependently-typed construction of semi-simplicial types. Mathematical Structures in Computer Science, 2015, From type theory and homotopy theory to Univalent Foundations of Mathematics, 25 (Special issue 05), pp.16. ⟨10.1017/S0960129514000528⟩. ⟨hal-00935446⟩
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