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Home/ Questions/Q 7573521
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Editorial Team
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Editorial Team
Asked: May 30, 20262026-05-30T16:12:14+00:00 2026-05-30T16:12:14+00:00

I remember reading somewhere that Hindley Milner was a restriction on system-f. If that

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I remember reading somewhere that Hindley Milner was a restriction on system-f. If that is the case, could someone please provide me with some terms that can be typed in system-f but not in HM.

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  1. Editorial Team
    Editorial Team
    2026-05-30T16:12:15+00:00Added an answer on May 30, 2026 at 4:12 pm

    Anything involving higher-ranked (i.e. “first-class”) polymorphism. For example:

    lambda (f : forall A. A -> A). (f Int 1, f String "hello")
    

    This function would have the type (forall A. A -> A) -> Int * String, which is not expressible in HM, where all polymorphic type schemes must be in “prenex” form (i.e. the quantifier may only occur on the outside, never nested).

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