[Haskell-cafe] GPT & Haskell

[Aloïs Cochard]

I'm sorry, I'm too busy adding constraints to the next version of Chat j'ai
peter.

On Sat, 1 Apr 2023 at 23:26, Branimir Maksimovic <
branimir.maksimovic at gmail.com> wrote:

> Give it to solve this bellow one minute in Haskell:
> #512 Sums of totients of powers <https://projecteuler.net/problem=512>
> projecteuler.net <https://projecteuler.net/problem=512>
> [image: apple-touch-icon.png] <https://projecteuler.net/problem=512>
> <https://projecteuler.net/problem=512>
> I have shown it solution, but anyway really doubt it is programmed
> to remember anything :P
>
> Greets, Branimir.
>
> On 1. 4. 2023., at 18:52, Viktor Dukhovni <ietf-dane at dukhovni.org> wrote:
>
> On Sat, Apr 01, 2023 at 08:18:08AM +0200, Aloïs Cochard wrote:
>
> How can this be useful when you have to anyway review everything is doing
> as he might to just randomly insert a bug or a security flaw???
> I prefer to read poems by my human friends.
>
> I highly recommend starting reading this paper at page 128 instead of
> wasting your time on that prompt:
> https://arxiv.org/pdf/2303.12712.pdf
>
> Be ready for a good laughhi
>
>
> Part of the good laugh is on page 136:
>
>    Let P be a point on the hyperbola
>
>        x^2 + 3xy + 4x − 5y = −9y^2 − 133.
>
>    Find the shortest possible distance from the origin to P.
>
> The authors of the paper say that "GPT-4 produces a sound argument",
> I beg to differ.
>
>    Let u = 3y, then
>
>        x^2 + xu + u^2 + 4x − (5/3)u = − 133.
>
>    The degree-two part of which is positive-definite.  The linear terms
>    just shift the origin. So the equation is actually:
>
>        r^2 + rs + s^2 = RHS
>
>    For a straight-forward to compute choice of r = x - a, s = u - b.
>
> There are then two issues (just the first one is enough) with the prompt:
>
>    * The equation can't represent a hyperbola, it would be an ellipse.
>    * The ellipse doesn't exist, because the RHS constant is actually
> negative.
>
> THe authors are just as prone to autopilot nonsense reasoning as GPT-4.
>
> This rather reminds me of:
>
>
> https://math.stackexchange.com/questions/1594740/v-i-arnold-says-russian-students-cant-solve-this-problem-but-american-student
>
> --
>    Viktor.
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-- 
*Λ\oïs*
http://twitter.com/aloiscochard
http://github.com/aloiscochard
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