Start / Iowa Type Theory Commute / Curry style versus church style and the nature of type annotations

Iowa Type Theory Commute

Curry-style versus Church-style, and the nature of type annotations

13 min • 30 januari 2020

In Curry-style typing annotations -- for example, the types of bound variables -- are erased, and not truly (semantically) part of the term.  In Church-style, they are intrinsic to the term and are truly there.  Discussion of some of the practicalities of Curry-style typing, in particular type annotations versus proving typings.

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