Here are a few simple functions: f1 :: () -> () f1 () = () f2 :: a -> a f2 a = a f3 :: a -> (a, a) f3 a = (a, a) f4 :: (a, b) -> a f4 ...
Here are a few simple functions: f1 :: () -> () f1 () = () f2 :: a -> a f2 a = a f3 :: a -> (a, a) f3 a = (a, a) f4 :: (a, b) -> a f4 ...
Consider the type of a function from a's to pairs of b's and c's, a -> (b, c). (I'll use Haskell notation for types and functions, but this isn't a ...
I would like to test some definitions in system F using Agda as my typechecker and evaluator. My first attempt to introduce Church natural numbers w ...
I'd love to get the following example to type-check: I get it that it's probably not possible to infer and check gs type (even though in this speci ...
I am reading a paper on Fω, and cannot understand the reasoning behind this statement: The type term of type (∀γ:*. F γ → β) shows that F is a con ...
Matt Might talks about implementing a Lambda Calculus interpreter in 7 lines of Scheme: Now this is not the Simply Typed Lambda Calculus. In the co ...
I need to know what is the System F type of the Haskell bind type (>>=) operator. Until now I writed it like this: Is it right? If it is rig ...
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 ...
I'm experimenting with implementing System-F-style data structures in Haskell. I'll use A <B> to mean application of a term A to a type B just ...
In System F, the kind of a polymorphic type is * (as that's the only kind in System F anyway...), so e.g. for the following closed type: I would li ...
How to systematically compute the number of inhabitants of a given type in System F? Assuming the following restrictions: All inhabitants termina ...
I don't understand why this program is not typable : I use option -XRankNTypes with GHC. I have the following error : Could somebody help me? ...
I've been reading up on various type systems and lambda calculi, and i see that all of the typed lambda calculi in the lambda cube are strongly normal ...
Under 'What is Hindley Milner' it states: Hindley-Milner is a restriction of System F, which allows more types but which requires annotations by t ...