the tricky bit is ensuring your inaccurate plain english statement is captured and formalized correctly as lean.
bayesnet 1 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 23 hours ago [-]
What kind of economic modelling uses Lean?
barrenko 17 hours ago [-]
+1
dominotw 22 hours ago [-]
do you have examples . i am fascinated by this
homarp 1 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 1 days ago [-]
Could you provide a practical example?
rawland 1 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 1 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 19 hours ago [-]
Is this effectivly mit or no license?
a2ff6eeb0 13 hours ago [-]
Effectively public domain.
philipfweiss 1 days ago [-]
Maybe consider an integration with theoremdb.org?
fractorial 1 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 1 days ago [-]
> hooking up slop to slop is just unlikely to produce anything valuable
Do you have a formal proof of that?
skew-aberration 23 hours 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 22 hours 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 21 hours ago [-]
Nevertheless, the proof is valid and easy to certify
c0rruptbytes 17 hours ago [-]
looks nice...time to turn it into a pi extension
dominotw 22 hours 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.
shidesheng 15 hours ago [-]
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tizerluo 23 hours ago [-]
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CodeWithLeo 19 hours ago [-]
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agentwyz 13 hours ago [-]
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129387 1 days ago [-]
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eisbaw 1 days ago [-]
git clone is slightly faster
gumby 1 days ago [-]
And doesn’t use as many tokens, at least for now.
black_knight 1 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
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.
wish these project always start with an example. i dont care about quickstart or featurelist if i dont know what this is.
Lets me ignore the LICENSE.md file, and use how I want.