added a TODO with some resources
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TODO
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TODO
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1) Write a Hindley Milner type checker for that injective datatype recursor language
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https://wikimedia.org/api/rest_v1/media/math/render/svg/431b94815103ac9dc77d0e92739456c3c2c90803
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https://github.com/sdiehl/write-you-a-haskell/blob/master/chapter7/poly_constraints/src/Infer.hs
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https://github.com/sdiehl/write-you-a-haskell/blob/master/chapter7/poly/src/Infer.hs
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2) Extend it to allow for referencing declerations "further down" in file, but make sure it
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terminates by forbidding corecursion (simply done by building a reference graph and then looking at it)
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3) Add Kind env and use it to have "type of types"
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4) Then make the SECD machine good enough to execute it :)
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6
test
6
test
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-- currently all parameterised types are commented out until kinds are being implemented
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-- no pattern matching, instead a recursor is given based on your inductive definition
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-- no pattern matching, instead a recursor is given based on your inductive definition
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-- for example: the following
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-- for example: the following
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{-
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type List A
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type List A
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| nil : List A
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| nil : List A
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| cons : A → List A → List A
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| cons : A → List A → List A
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-}
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-- will bring the following into scope
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-- will bring the following into scope
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-- rec[List] : B → (A → B → B) → List A → B
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-- rec[List] : B → (A → B → B) → List A → B
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-- map could then be written as
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-- map could then be written as
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{-
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map : (A → B) → List A → List B
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map : (A → B) → List A → List B
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:= rec[List] nil (λx xs. cons (f x) xs)
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:= rec[List] nil (λx xs. cons (f x) xs)
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-}
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-- one could then define the naturals as follows
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-- one could then define the naturals as follows
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