May 18, 2012 · Yes. You encode your invariants in the Haskell type system. The compiler will then enforce (e.g. perform type checking), to prevent your ...
Abstract. Multi-parameter type classes, functional dependencies, and re- cently GADTs and open type families open up opportunities to use complex type-level ...
This seems a bit strange, because in ordinary Haskell, types don't have values as part of them. For example, you can't express the types “Lists of 45 Bools”, or ...
Invariant (V1 :: Type -> Type) Source #. from GHC.Generics ; Instance details. Defined in Data.Functor.Invariant. Methods. invmap :: (a -> b) -> (b -> a) -> V1 a ...
In this article, we propose an extension to Haskell that allows the specification of invariants for type classes and open type fam- ilies, together with ...
Jan 20, 2009 · In this article, we propose an extension to Haskell that allows the specification of invariants for type classes and open type families, ...
Multi-parameter type classes, functional dependencies, and recently GADTs and open type families open up opportunities to use complex type-level programming to ...
If certain typeclass invariants exist, you can make these explicit in the validity instance as well. For example, 'Fixed a' is only valid if a has an ...
Abstract: Dependent types allow a programmer to express invariant properties of functions, such as the relationship between the input and output lengths of ...
Dec 19, 2015 · The kinds of invariants described here (eg the value should contain no Foo constructors) are straightforward to express and verify in a ...