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Interesting. The extensions to the type system remind me of Ωmega (http://code.google.com/p/omega/), though without higher-order kinds.

EDIT: Turns out "Programming in Omega" is cited by the section on related work. No wonder the mention of proving red-black trees using type-level computation seemed familiar...



Omega became what called now "type families".

Types at the kind level and kind polymorphism is much more close to dependent type system.

Honestly, I cannot wait. ;)




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