Hi Ender,

1.  what script could expand a proof fast on-demand to its steps with full 
statements written down

as an example, Yamma does it with this method: MmToMmpConverter.buildProof() 
<https://github.com/glacode/yamma/blob/036935231f4863c39efe427bae4049bfa6fb56a6/server/src/mmp/MmToMmpConverter.ts#L267>

2. I've tried this on demo0.mm and it turned out the proof in there 
remained valid under transformation

Could you please show an example with a small proof, so that I can 
understand what you mean by under transformation? (do you mean that the 
original proof is given back if you apply your transformation twice?)

3. about the other questions, if you could publish some code on GitHub 
(with stub calls for the parts you've not figured out, yet), we could look 
at it and come up with possible solutions

4. here (OpenAI 
<https://groups.google.com/g/metamath/c/D09W2QVR-_I/m/g_rsqGj0AAAJ>), you 
can find an old thread where Stanislas Polu, from OpenAI, built a model 
with inference capable of proving some small theorem (there's also an 
OpenAI mathbox). Given that their online proof assistant was a "label 
suggester" I'm inclined to believe it worked backward (see point 5. below). 
Unfortunately, I've never found the source code for Stanislas' models.

5. you probably already know, but a non-negligible number of metamath 
users, tend to write proof backwards. If I had to use a LM for proof 
automation, I would probably try the backward approach, first (I don't know 
if this is relevant with respect to your questions about RPN vs FPN).
Of course, it would be fascinating to see an LM that can complete the wff 
for the current statement (say, copilot style) - probably a simpler goal, 
but pretty cool anyway.

Looking forward to your thoughts and examples.

Best regards,
Glauco

-- 
You received this message because you are subscribed to the Google Groups 
"Metamath" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to [email protected].
To view this discussion visit 
https://groups.google.com/d/msgid/metamath/24fb260f-6397-46df-96d1-cefb9390dec1n%40googlegroups.com.

Reply via email to