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From: Christophe Papazian <christophe.papazian@gmail.com>
To: Walter Cazzola <cazzola@dico.unimi.it>
Cc: OCaML Mailing List <caml-list@inria.fr>
Subject: Re: [Caml-list] still silly issues on polymorphic types
Date: Tue, 27 Sep 2011 17:26:36 +0200	[thread overview]
Message-ID: <53C8B18E-A3AD-4DB1-A477-EE7FA7846845@gmail.com> (raw)
In-Reply-To: <alpine.LFD.2.00.1109271546540.8918@surtur.dico.unimi.it>

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>
> uhm, I have a couple of questions I don't understand on your
> explanation:
> - why the most general type is int->'a and not 'a -> 'b?

Because if I need a function of type int -> 'a I can give a function  
of type 'a -> 'b.
But if I need a function of type 'a -> 'b I can not use a function of  
type int -> 'a.
So int -> 'a is more general and 'a -> 'b is more specific.

General rule : if a < b then (a->c) > (b->c)

> - does this mean that I can't have a general type that could be  
> matched
>   by 'a -> 'a list -> 'a list  and int -> int -> int ?
>

if you want to get a supertype of a -> b and c -> d you need to
find a subtype of a and c AND find a supertype of b and d.

So for example for ('a -> ( 'a list -> 'a list)) and (int -> (int ->  
int))
you need
  - a subtype of 'a and int : it's int. you have one.
  - a supertype of ('a list -> 'a list) and (int -> int) (reapply the  
same procedure)
       -a subtype of 'a list and int : there is no such thing in  
ocaml, so there is no supertype.

So to answer your question, you can't. But as Jacques Garrigue said,  
you don't need either,
and you can use abstract type and "with type" construction.




> Walter
>
> -- 


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  reply	other threads:[~2011-09-27 15:26 UTC|newest]

Thread overview: 12+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2011-09-27 11:46 Walter Cazzola
2011-09-27 12:57 ` Christophe Papazian
2011-09-27 13:49   ` Walter Cazzola
2011-09-27 15:26     ` Christophe Papazian [this message]
2011-09-27 18:43       ` Walter Cazzola
2011-09-27 19:25         ` Thibault Suzanne
2011-09-27 13:16 ` Jacques Garrigue
2011-09-27 13:58   ` Walter Cazzola
2011-09-27 19:45     ` Pierre Chopin
2011-09-27 20:22       ` Walter Cazzola
2011-09-27 23:58         ` Jacques Garrigue
     [not found]         ` <266E7048-C3BB-4B9E-9760-9D52993A1C86@math.nagoya-u.ac.jp>
2011-09-29 10:27           ` Walter Cazzola

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