From: "Loup Vaillant" <loup.vaillant@gmail.com>
To: Andrej.Bauer@andrej.com
Cc: "Caml List" <caml-list@inria.fr>
Subject: Re: [Caml-list] Unexpected restriction in "let rec" expressions
Date: Wed, 27 Feb 2008 10:43:18 +0100 [thread overview]
Message-ID: <6f9f8f4a0802270143o68c58cbfh2ea059cda5c0a744@mail.gmail.com> (raw)
In-Reply-To: <47C524F3.9030005@fmf.uni-lj.si>
OK, I'm starting to understand all this a bit more, thank you all.
2008/2/26, Nicolas Pouillard <nicolas.pouillard@gmail.com>:
> A picture can helps...
>
> +---------+
> a>-| |->c
> | x |
> b>-| |->b
> +---------+
>
> +---------+
> a>-| |->c
> | y |
> +->-| |->-+
> | +---------+ |
> +--------b--------+
>
> loop x = y
I saw this image before, but despite of its clarity, it hasn't solved
my problem: the chicken and egg one. See, the looping "b" in y looks
like it has to be produced out of thin air. The only solution I can
guess is that x must, for some value of "a", produce the outputs "c"
and "b" independently of the input "b". Then, the recursion in loop
must reach this particular value of "a".
Maybe I could understand this by writing a factorial function, using a
non recursive function and loop (I hope this is possible).
2008/2/27, Andrej Bauer <Andrej.Bauer@fmf.uni-lj.si>:
> where the name "fix" suggests that we will plug in a fix-point operator
> at the end of the day. Before reading on, you should try to write down a
> term of type (2), given that we have fix. I will bet that your brain
> will produce the same solution as described below.
It did :-), but it will take a bit of my time to understand the rest.
Cheers,
Loup
next prev parent reply other threads:[~2008-02-27 9:43 UTC|newest]
Thread overview: 16+ messages / expand[flat|nested] mbox.gz Atom feed top
2008-02-26 12:24 Loup Vaillant
2008-02-26 14:04 ` [Caml-list] " Jean-Christophe Filliâtre
2008-02-26 14:18 ` Damien Doligez
2008-02-26 14:34 ` Loup Vaillant
2008-02-26 14:51 ` Gabriel Kerneis
2008-02-26 14:56 ` blue storm
2008-02-26 17:48 ` Nicolas Pouillard
2008-02-26 14:57 ` Dirk Thierbach
2008-02-27 8:53 ` Andrej Bauer
2008-02-27 9:43 ` Loup Vaillant [this message]
2008-02-27 12:02 ` Dirk Thierbach
2008-02-27 14:04 ` Loup Vaillant
2008-02-27 16:41 ` Dirk Thierbach
2008-02-27 23:32 ` Loup Vaillant
2008-02-27 19:03 ` Pal-Kristian Engstad
2008-02-27 23:46 ` Loup Vaillant
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