This packing of 15 equal disks in a circle was conjectured to be optimal by U. Pirl in 1969.
I've developed a computer-assisted proof of its optimality, and I'm currently formalizing it in Lean.
Independent verification and feedback are welcome!

This packing of 15 equal disks in a circle was conjectured to be optimal by U. Pirl in 1969.
I've developed a computer-assisted proof of its optimality, and I'm currently formalizing it in Lean.
Independent verification and feedback are welcome!
"8 of the Lean formalizations in OpenAI's repo are 'broken' (trivially provable with wrong proofs):"
Alex Meiburg
Desítky tisíc tvrzení, 700 rukopisů a exponent čísla π stlačený na 2. Repozitář openai/math je největší sbírka AI matematiky v dějinách.
Co se stane s disciplínou, když máme tisíce odpovědí bez otázek, kde intuici nahradil type-checking?
Esej Martina Kailise:
NanoProof releases its training data, extraction tooling, pipeline, and weights for fully open automated theorem proving in Lean 4, reporting 50.8% pass@16 on MiniF2F-Test while using far less compute than…
#OpenSourceAI #TheoremProving #Lean4 #MachineLearning
https://arxiv.org/abs/2610.11605
If you are formalizing anything in lean and you are not a foundations expert, please avoid using axioms at all costs.
A formalization with axioms is almost always fatally flawed. At that point it is a net negative for the community.
Choir is an open protocol that distributes multi-agent autoformalization across independent contributors using GitHub coordination and deterministic merge gates, supporting Lean 4, Isabelle, and Rocq.
#OpenSourceAI #FormalMethods #MultiAgent #Lean4
https://arxiv.org/abs/2609.31903
Yesterday I ran formal (github.com/yamafaktory/...) against our backend at work. Claude Code found several critical bugs with it when formalizing proofs and when checking them. Pretty happy with the outcome!
計算の聖域:LLMと形式検証による自律的知性の再構築 #FormalMethods #Lean4 #AISafety #GPU #ROCm #七04 dopingconsomme.blogspot.com/2026/07/llm-...
A new blog post www.philipzucker.com/elab_lean/ "Lean Metaprogramming Etudes: Execution is Elaboration" De-emphasizing the macro/tactic aspects makes more sense to me. run_elab, by_elab are clutch. A listing of some concepts and the most important functions. #lean4