I have an example of System F plymorphism that I don't really understand:
If I would remove the types it would remain: \f.\a.f (f a) which makes no sense.
Can you help me with this? Thank you!
Polymorphic self application
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The erased term does make sense: in Haskell it would be
\f a -> f (f a), a fairly ordinary function that applies its first argument to its second, and then again to the result.The difference between
\f a -> <body>and\f.\a. <body>is only one of notation. If you prefer, write the Haskell term\f -> \a -> f (f a), which is equivalent but syntactically a bit closer to the erased System F.(Note that
doubleis not self application, which would be\f -> f f.)