Homotopies for Free!

نویسنده

  • Taichi Uemura
چکیده

We show “free theorems” in the style of Wadler on homotopy type theory as consequences of relational parametricity. It follows that, for each space, its higher inductive definition and impredicative definition have the same homotopy groups. An impredicative definition of a space can help us to find generators of homotopy groups of the space.

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عنوان ژورنال:
  • CoRR

دوره abs/1701.07937  شماره 

صفحات  -

تاریخ انتشار 2017