[Haskell-cafe] Newbie: Is‘type’ synonym hiding two much?
antti-juhani at kaijanaho.fi
Thu Mar 22 11:29:23 EDT 2007
On Thu, Mar 22, 2007 at 06:13:00PM +0300, Dmitri O.Kondratiev wrote:
> F :: a -> b -> c
> Is the same as:
> F :: a -> (b -> c)
Correcting the typo (use f, not F), these mean the same thing.
> And means either:
> - a function 'f' of one argument of type 'a' that returns a function of
> type (b -> c), or it can also be interpreted as:
> - a function 'f' of two arguments of type 'a' and 'b' returning value of
> type 'c'
Yes. The essential point to understand that these interpretations *are
> Now, in the 17.5 section of a book one may see the following declarations:
> succeed :: b -> Parse a b
> *Before looking at 'succeed' function definition* one may think that
> 'succeed' is a function of *one* argument of type 'b' that returns object of
> type 'Parse a b'.
That's what it is. However, without looking at the definition of
Parse a b, you can't tell whether that is a function or not, and
therefore all you can say about succeed is that it takes *at least* one
> Then I do this substitution *myself as a Haskell runtime* and get in
> the result the following declaration of a * real
> function that Haskell runtime* works with:
I'm not sure why you feel the need to talk about runtime. This all
happens at compile time.
> 2. Should I search through main and imported modules for treacherous 'type'
They are not treacherous. But yes, if you want to know what a type
stands for, you need to look it up.
The "treacherous" thing here is that in Haskell, returning a function is
the same as taking one more parameter. This may feel strange at first,
but it is a very important idiom and you do need to learn to live with
it if you want to use Haskell.
> 3. Where, in this case goes implementation abstraction principle? Why I must
> provide *all* the details about function argument type structure in order to
> understand how this function works?
"type" is just notational convenience. If you want abstraction, use
"newtype" or "data".
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