I'm late to this discussion and must have missed the motivation for
it. Specifically, how is your goal, vector/tensor operations that are
statically assured well-dimensioned differs from general
well-dimensioned linear algebra, for which several solutions have been
already offered. For example, the Vectro library has been described
back in 2006:
http://ofb.net/~frederik/vectro/draft-r2.pdf
http://ofb.net/~frederik/vectro/
The paper also talks about reifying type-level integers to value-level
integers, and reflecting them back. Recent GHC extensions (like
DataKinds) make the code much prettier but don't fundamentally change
the game.
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