[Haskell-cafe] GPT & Haskell

[Aloïs Cochard]

Thanks for that Viktor,

While I was holding my Giga Beer and looking at your delicious equations, I
started solving them using Japanese Multiplication:
https://www.youtube.com/watch?v=gngvWShRgX4

また会いましょう、そしてすべての魚に感謝します


On Sat, 1 Apr 2023 at 18:53, 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 laugh
>
> 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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