Grilled Cheese

ExploreLog inSign up
Terms of UsePrivacy PolicyCommunity StandardsHelpGet the app

Grilled Cheese is a product of Village Compute

Version devBuilt at: 2026-10-17 03:54:26 EDT

PhotosVideosAllPeople
LatestRanked
Load more
@mathify-dev.bsky.socialOct 8, 2026, 10:02 PM

What Does Lean-Verified Actually Mean?

In OpenAI’s October 2026 mathematics release, 722 manuscripts are grouped into 372 families of related results. Many, but not all, come with Lean formalizations.

#lean #formalverification #mathematics #theoremproving

@adambrooksorg.bsky.socialOct 8, 2026, 9:34 PM

Milton Berle hit the nail on the head: "If #opportunity doesn't knock, build a door." Instead of seeing a sluggish #job market as a dead end, think of it as a toolbelt. Necessity forces #founders to solve real problems with #lean, practical models.

www.linkedin.com/pulse/from-j...

@abahc-bot.bsky.socialOct 8, 2026, 4:35 PM

Liam, lean lean, trash like the greatest blues.

Get out, others know the way. #lean

@legoutervivre111.bsky.socialOct 8, 2026, 4:31 PM

Liam keen #lean o

@jbzfn.bsky.socialOct 8, 2026, 12:00 PM

💡 Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs arxiv.org/abs/2610.08144

#ai #math #science #lean #navierstokes #paper

@donwebmedia.bsky.socialOct 8, 2026, 6:59 AM

Terence Tao responde al volcado matemático de OpenAI

Terence Tao OpenAI matemática: repasá qué criticó, qué es Math 1.0 y qué demostraciones siguen sin verificar tras el volcado del 6 de octubre

#terencetao #openai #matemática #math10 #lean

@mathify-dev.bsky.socialOct 8, 2026, 6:40 AM

OpenAI’s New Matrix Multiplication Bound: ω ≤ 2.25

One result family in OpenAI’s October 2026 mathematics release concerns the exponent ω of matrix multiplication.

#matrixmultiplication #complexitytheory #algorithms #lean

@pulseofnations.lolOct 8, 2026, 3:42 AM

OpenAI released 377 new mathematical results spanning algebra, number theory and topology, verified with the Lean proof assistant, but mathematicians question the process and the model behind them.

#AdvisoryBoard #Lean #Mathematics #NavierStokes #OpenAI #Research

@harushark3.bsky.socialOct 8, 2026, 1:54 AM

[JP] AIが証明した11個の正方形の最適パッキングの完全性
[EN] AI Proves the Completeness of Optimal Packing for 11 Squares

https://ai-minor.com/blog/en/2026-10-08-1791404210452-ai_assisted_proof_of_optimal_packing_for_11_square

#最適化 #数理論理 #Lean #AI #Tech

@mathify-dev.bsky.socialOct 8, 2026, 12:18 AM

OpenAI’s Unique Games Claim Is Not P vs NP

A manuscript in OpenAI’s October 2026 mathematics release tackles Unique Games, a conjecture open for more than two decades.

#uniquegames #complexitytheory #nphard #lean

@waynerad.bsky.socialOct 7, 2026, 9:15 PM

OpenAI has released 722 math papers "covering 372 result families" of previously unsolved problems in mathematics. Crucially not all of these have computer-verifiable proofs in Lean.

github.com/openai/math/...

#solidstatelife #ai #genai #codingai #mathematics #proofs #lean

@fabmusacchio.bsky.socialOct 7, 2026, 7:04 PM

…Thus, a verified #Lean proof is not automatically a verification of the original natural-language proof. It verifies the formal statement & proof that ended up in L. Whether #AI translated the orig. argument correctly is a separate problem & still needs to be checked carefully (!) by humans.

3/3

@fabmusacchio.bsky.socialOct 7, 2026, 7:01 PM

The authors find exactly this in #OpenAI’s recent #NavierStokes work: Different bounds, different proof strategies, but still valid #Lean code.

2/N

@fabmusacchio.bsky.socialOct 7, 2026, 7:00 PM

#NaviesStokes lost in translations: #Lean can verify a formal proof perfectly well, while the #AI may have changed the actual #mathematical argument during translation

📝 arxiv.org/abs/2610.08144

#mathematics

1/N

@3939ai.bsky.socialOct 7, 2026, 5:46 PM

OpenAI mathの難問「ガウスの堀」を題材に、Lean 4形式検証から3Dサイエンスアートへ直結するパイプラインを構築!

基礎補題をLeanでコンパイル(.olean生成)してGate通過→有限素数グラフのBFS探索→WebGLで可視化🌌
#Lean #FormalVerification #OpenAI #数学 #可視化 #HTML #JavaScript

@harushark3.bsky.socialOct 7, 2026, 10:22 AM

[JP] OpenAIが最新フロンティアモデルによる数学的研究成果を公開!Leanでの証明もオープン化
[EN] OpenAI Unveils New Mathematical Research Achievements with Latest Frontier Model! Proofs in Lean Open-Sourced

https://ai-minor.com/blog/en/2026-10-07-1791362848033-sharing_ai_progress_in_mathematics

#OpenAI #数学AI #Lean #AI #Tech

@fmontesi.bsky.socialOct 7, 2026, 6:59 AM

The framework now supports, among other things, basic modal logic, the modal cube, basic temporal logic, and Hennessy–Milner Logic, together with reusable metatheory and automation.

Preprint: www.fabriziomontesi.com/publication/...

#CSLib #Lean #FormalMethods #FORM

5/5

@mathify-dev.bsky.socialOct 7, 2026, 6:51 AM

Why 7/8 Matters in OpenAI’s Zeta-Function Claim

Follow for the equations hiding behind the news.

#numbertheory #riemannzeta #lfunctions #lean

@mathify-dev.bsky.socialOct 7, 2026, 5:52 AM

OpenAI’s Navier–Stokes Singularity Claim, Explained

Follow for the equations hiding behind the news.

#navierstokes #fluiddynamics #millenniumprize #lean

@pulseofnations.lolOct 7, 2026, 5:23 AM

OpenAI released 722 manuscripts from an unreleased frontier model covering hundreds of open math problems, with proofs formalized in Lean. Verification and credit questions now land on human referees.

#AiResearch #Lean #Mathematics #MillenniumProblems #OpenAI