the tricky bit is ensuring your inaccurate plain english statement is captured and formalized correctly as lean.
bayesnet 2 days ago [-]
I’ve written a lot of Lean for economic modeling (so take this with the caveat that it’s not frontier-level mathematics research) but I think this problem is overstated. If you follow good engineering standards—keep primitives composable and design abstraction well—it’s not so hard to understand enough Lean to ensure the formalized statement is correct.
In part this is possible because mathlib is very well-designed and has a very good API (in no small part because they’re willing to make breaking changes all the time), so building on top of it makes life much easier.
wanderlust123 2 days ago [-]
What kind of economic modelling uses Lean?
barrenko 2 days ago [-]
+1
dominotw 2 days ago [-]
do you have examples . i am fascinated by this
homarp 3 days ago [-]
A terminal AI coding assistant with a built-in math formalization engine — describe a problem in plain language and it converts it into a Lean 4 theorem and attempts a formal proof.
seunosewa 2 days ago [-]
Could you provide a practical example?
rawland 2 days ago [-]
There is one in the quickstart:
mathcode -p "prove that the square of an even number is even"
It's AI generated, so licensing terms are unenforceable.
a2ff6eeb0 2 days ago [-]
Or, more accurately: it's not possible to apply copyright to generated code; if you don't release it, it's a trade secret, but if you do, people can use it how they please.
whattheheckheck 2 days ago [-]
Is this effectivly mit or no license?
a2ff6eeb0 2 days ago [-]
Effectively public domain.
dominotw 2 days ago [-]
sounds like an awesome project.
wish these project always start with an example. i dont care about quickstart or featurelist if i dont know what this is.
philipfweiss 2 days ago [-]
Maybe consider an integration with theoremdb.org?
fractorial 2 days ago [-]
To be clear, I am deep into auto-research, but hooking up slop to slop is just unlikely to produce anything valuable.
Value is in how maths is communicated: The process, frustrations, triumphs, etc.
We have to able to take generated formalizations from “it compiles” to “it is correct” before crystallizing them.
andxor 2 days ago [-]
> hooking up slop to slop is just unlikely to produce anything valuable
Do you have a formal proof of that?
skew-aberration 2 days ago [-]
Premises:
Garbage in implies garbage out (first principle of computer science)
The input is possibly, but not necessarily garbage (definition of slop)
By the standard methods of modal logic, it follows that it is possible that the output is garbage and therefore slop by definition. QED.
cgio 2 days ago [-]
I am not sure of the premise. You can have a filter which takes garbage in and outputs the clean data from the garbage, a denoiser. Also your definition of slop is not specific to slop. Any input can be garbage, including this human sourced and thought comment.
skew-aberration 2 days ago [-]
Nevertheless, the proof is valid and easy to certify
c0rruptbytes 2 days ago [-]
looks nice...time to turn it into a pi extension
shidesheng 2 days ago [-]
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tizerluo 2 days ago [-]
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CodeWithLeo 2 days ago [-]
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agentwyz 2 days ago [-]
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129387 2 days ago [-]
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eisbaw 2 days ago [-]
git clone is slightly faster
gumby 2 days ago [-]
And doesn’t use as many tokens, at least for now.
black_knight 2 days ago [-]
I just replaced git clone with a script which fetches the README.md and sets of a fleet of agents to do a cleanroom reimplementation.
Lets me ignore the LICENSE.md file, and use how I want.
In part this is possible because mathlib is very well-designed and has a very good API (in no small part because they’re willing to make breaking changes all the time), so building on top of it makes life much easier.
[1] http://www.cs.utexas.edu/users/EWD/ewd04xx/EWD427.PDF
wish these project always start with an example. i dont care about quickstart or featurelist if i dont know what this is.
Value is in how maths is communicated: The process, frustrations, triumphs, etc.
We have to able to take generated formalizations from “it compiles” to “it is correct” before crystallizing them.
Do you have a formal proof of that?
By the standard methods of modal logic, it follows that it is possible that the output is garbage and therefore slop by definition. QED.
Lets me ignore the LICENSE.md file, and use how I want.