Re: Where's formal proof of Haskell's claim to...?
"Michael Haufe [email protected] [concatenative]" <[email protected]> Mon, 23 Feb 2015 12:52:46 -0600
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| Message-ID | <CAErhmQXG_x3g2CYjrZG_4kWivt+XpUOZcobrbDuC1FMxJVagfw@mail.gmail.com> |
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On Wed, Feb 11, 2015 at 9:22 AM, chris glur wrote:
> Where's formal proof of Haskell's claim to be able to avoid the need to
> tell the machine what to do step-by-step, and just provide it with a
> <description of the problem>, and allow it to workout/search for a route
> to the solution?
[...]
> Is this a theory that can be demonstrated by graduated examples,
> hopefully published somewhere?
Do you have a specific quote in context for the claim for better
understanding of the question?
The general theory is the Church=E2=80=93Rosser theorem:
<http://en.wikipedia.org/wiki/Church=E2=80=93Rosser_theorem>
If there exists a machine checked proof of this property for Haskell
and to what degree, I am unaware of one. I suspect if it does exists
it is specifically for a targeted subset that Haskell compiles to (System-F
like?).
For more information useful to this topic, I suggest taking a glance
through SPJ's book IFPL:
http://research.microsoft.com/en-us/um/people/simonpj/papers/slpj-book-1987=
/
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<p><div dir=3D"ltr">On Wed, Feb 11, 2015 at 9:22 AM, chris glur wrote=
:<br>> Where's formal proof of Haskell's claim to be able to avo=
id the need to <br>> tell the machine what to do step-by-step, and just =
provide it with a<br>> <description of the problem>, and allow it =
to workout/search for a route<br>> to the solution?<br>[...]<br>> Is =
this a theory that can be demonstrated by graduated examples,<br>> hopef=
ully published somewhere?<br><br>Do you have a specific quote in context fo=
r the claim for better <br>understanding of the question?<br><br>The genera=
l theory is the Church=E2=80=93Rosser theorem:<br><<a href=3D"http://en.=
wikipedia.org/wiki/Church%E2%80%93Rosser_theorem">http://en.wikipedia.org/w=
iki/Church=E2=80=93Rosser_theorem</a>><br><br>If there exists a machine =
checked proof of this property for Haskell <br>and to what degree, I am una=
ware of one. I suspect if it does exists<br>it is specifically for a target=
ed subset that Haskell compiles to (System-F like?).<br><br>For more inform=
ation useful to this topic, I suggest taking a glance<br>through SPJ's =
book IFPL:<br><br><a href=3D"http://research.microsoft.com/en-us/um/people/=
simonpj/papers/slpj-book-1987/">http://research.microsoft.com/en-us/um/peop=
le/simonpj/papers/slpj-book-1987/</a></div>
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