I want to learn bidirectional type checking
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See this amazing survey paper by and Neel K! This is what made it click for me.
cl.cam.ac.uk/~nk480/bidir-s
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also highly recommend ’s /An Algebraic Approach to Typechecking and Elaboration/ which combines extremely well with bidi typechecking: bentnib.org/posts/2015-04-
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you can also check 's reference implementations of dependently-typed languages:
github.com/AndrasKovacs/e
also seconding the offer of rambling about my implementation(s) of bidirectional type checking ^^
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These are really good and I have been learning tons from them!