Hello,
Usually, you can program such things by using super-classes. Here is
how you could encode your example:
{-# LANGUAGE MultiParamTypeClasses, FunctionalDependencies,
FlexibleInstances #-}
class HeaderOf addr hdr | addr -> hdr
class HeaderOf addr hdr => AddressOf hdr addr | addr -> hdr
data IPv4Header = C1
data IPv4 = C2
data AppAddress = C3
data AppHeader = C4
instance AddressOf IPv4Header IPv4
instance HeaderOf IPv4 IPv4Header
{- results in error:
instance AddressOf AppHeader AppAddress
instance HeaderOf AppAddress [AppHeader]
-}
Hope that this helps,
Iavor
On Sat, Jan 3, 2009 at 7:22 AM, Thomas DuBuisson
<[email protected]> wrote:
> Cafe,
> I am wondering if there is a way to enforce compile time checking of
> an axiom relating two separate type families.
>
> Mandatory contrived example:
>
>> type family AddressOf h
>> type family HeaderOf a
>>
>> -- I'm looking for something to the effect of:
>> type axiom HeaderOf (AddressOf x) ~ x
>>
>> -- Valid:
>> type instance AddressOf IPv4Header = IPv4
>> type instance HeaderOf IPv4 = IPv4Header
>>
>> -- Invalid
>> type instance AddressOf AppHeader = AppAddress
>> type instance HeaderOf AppAddress = [AppHeader]
>
> So this is a universally enforced type equivalence. The stipulation
> could be arbitrarily complex, checked at compile time, and must hold
> for all instances of either type family.
>
> Am I making this too hard? Is there already a solution I'm missing?
>
> Cheers,
> Tom
> _______________________________________________
> Haskell-Cafe mailing list
> [email protected]
> http://www.haskell.org/mailman/listinfo/haskell-cafe
>
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