[Haskell-cafe] GPT & Haskell

[Mihai Maruseac]

At the risk of touting my own horn, I have been running experiments with
chatGPT a while ago and both math (https://mihai.page/chatgpt/) and Haskell
(https://mihai.page/chatgpt-2/) were still not there.

I need to repeat these experiments though for the new version, these were
run when GPT-3 was top of the line.

On Sat, Apr 1, 2023 at 3:38 PM Aloïs Cochard <alois.cochard at gmail.com>
wrote:

> 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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-- 
Mihai Maruseac (MM)
"If you can't solve a problem, then there's an easier problem you can
solve: find it." -- George Polya
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