[Haskell-beginners] Re: dependent types
pat browne
Patrick.Browne at comp.dit.ie
Mon Jul 20 17:18:15 EDT 2009
Maurício,
Thanks for your rapid feedback, I will study your code.
>> I think (but someone with better knowledge) the term "dependent
>> type" means something else:
>> http://en.wikipedia.org/wiki/Dependent_types
>From your first link I think the term *dependent type* is defined as a
type that depends on *values* of other types. The semantic that I am
trying to express is that one type depends on another type.
Specifically, the type of a name depends on the type of the object. For
example a Person with a Name would give a Persons-Name and a Dog with a
Name would give a Dogs-Name. The paper [1] describe several styles of
dependency
Types depending on values called dependent types
Types depending on types called parametric and type-indexed types
[1]Comparing Approaches to Generic Programming Haskell by Hinze,
Jeuring, and LÄoh
Best regards,
Pat
Maurício wrote:
>> The intended semantics are:
>> Two objects are equal if they have the same name.
>> The type of the name depends on the type of the object
>
>> 3) How would I write an instance of Named that implements the name
>> function correctly.
>
> I think (but someone with better knowledge) the term "dependent
> type" means something else:
>
> http://en.wikipedia.org/wiki/Dependent_types
>
> I'm sure you'll be interested in type families, which offer a
> better and richer syntax to what you want:
>
> http://www.haskell.org/ghc/docs/latest/html/users_guide/type-families.html
>
> I tried rewriting your example using ghc-6.8.2 but I wasn't
> able to build it, and since ghc-6.8.* isn't actually supposed
> to properly support type families I though I could give you a
> bad example even if I get it to build :) So I'm leaving it here
> just in case someone wants to use it as a base:
>
> ------
> module Main (main) where
>
> data (Eq a) => Object a = Object a
>
> class (Eq (NameType o)) => Named o where
> type NameType o :: *
> name :: o -> NameType o
> equals :: o -> o -> Bool
> equals o1 o2 = (name o1) == (name o2)
>
> instance (Named a) => Eq a where
> (==) = equals
>
> instance Named (Object Integer) where
> type NameType (Object Integer) = Integer
> name (Object i) = i
>
> f,g :: Object Integer
> f = Object 1
> g = Object 2
>
> main = putStrLn $ show $ f == g
> ------
>
> Best,
> Maurício
>
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