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Flexible Contexts
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Brief Explanation
In Haskell 98,
- contexts of type signatures, newtype and data declarations consist of assertions of the form C v or C (v t1 ... tn), where v is a type variable.
- contexts of instance and class declarations consist of assertions of the form C v, where v is a type variable.
The proposal is that class arguments in contexts of type signatures and class declarations may be arbitrary types, e.g.
g :: (C [a], D (a -> b)) => [a] -> b
(Similar relaxation of instance declarations leads to UndecidableInstances. Contexts on newtype and data declarations are RemovalCandidates.)
References
- Syntax of Class Assertions and Contexts in the Haskell 98 Report
- Type classes: exploring the design space by Simon Peyton Jones, Mark Jones and Erik Meijer, Haskell Workshop 1997.
- Type signatures in the GHC User's Guide
Context reduction
Haskell computes a type for each variable bound by let or where, and then generalizes this type. In Haskell 98, the allowed contexts are restricted, so contexts are reduced using instance declarations (and duplicate assertions and those implied by class contexts are removed) until either they are in the allowed form or no instance is applicable, in which case an error is reported. For example, in the following
module M where class C a where c_method :: a -> Bool foo xs = c_method (tail xs)
the context of the inferred type
foo :: C [a] => [a] -> Bool
is neither allowed nor reducible, so a missing instance C [a] is reported.
When contexts are unrestricted, context reduction is forced only by explicit signatures and the type of main. The above example becomes legal; if a matching instance is in scope when context reduction is forced on uses of foo, they will also typecheck:
module Main where import M instance C [a] where c_method = null main :: IO () main = print (foo "abc")
Delaying context reduction:
- can leave contexts more complex (could interact with the Monomorphism Restriction)
- delays (and sometimes avoids) type errors
- sometimes avoids nontermination of context reduction for UndecidableInstances
- is required by OverlappingInstances
Pros
- useful with FlexibleInstances
Cons
- complicated context reduction story
- deferred error checking
