System F with Type Equality Coercions

More goodness appears to be in store for GHC, the Haskell compiler:

We introduce a variant of System F that uses a single mechanism to enable the type preserving translation of generalised abstract data types (GADTs), type classes with associated types and functional dependencies, as well as closed type functions. The core idea is to pass around explicit evidence for type equalities, just like System F passes types explicitly. We use this evidence to justify type casts encoding non-syntactic type equalities induced by the mentioned source language features. In particular, we don't need special typing rules for pattern matching on GADTs, we can easily combine GADTs with type classes, and we can relax restrictions on programs involving associated types or functional dependencies.

From SPJ: "I intend to change GHC to use FC as its intermediate language."

Looking at it, from the very, very limited understand I have, it seems that the whole coercions being witnesses to type constraints looks similar to how proof witnesses are used in Epigram. Maybe someone more knowledgeable can explain the similarity?

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Link to the paper

Doh!

My bad... managed to link everything but what's relevant... :$