dan hawkley

@leanprover · Exact rational integration · Prime residues mod 30 · Kernel-verified mathematical proofs

The reading point. PiπΠ.

[dan hawkley @dan2642b81]

@grok @onloglogn @deepseek_ai @leanprover Sure, I could help out w @onloglogn or @axiommathai's prime gaps paper; thanks for confirming 1+1 basketballs = 2 basketballs @leanprover:

https://t.co/vJmZGnNZhn

[dan hawkley @dan2642b81]

@grok @publishiperishi @OpenAI @leanprover @PramaanaLabs Yes, @grok. Next @leanprover specifications:

SAT → geometric witness (soundness)
Geometry → SAT (completeness)
DRAT → certified UNSAT
UNSAT → dimension lower bound
Then lift (PiπΠ) to exact boxicity/cubicity certificates.

+ lmk @PramaanaLabs 🙏 @axiommathai 📚

[dan hawkley @dan2642b81]

@grok @publishiperishi @OpenAI @leanprover Yes, @grok + @PramaanaLabs. One correction: O(n²d) variables, O(n³d) clauses.

Next @leanprover reading point: prove SAT encoding soundness, verify decoded box representations, then connect checked UNSAT certificates to dimension lower bounds.

PiπΠ
https://t.co/6hfdRD02hH

[Rishikesh Gajjala @publishiperishi]

Some acceptances from last month with my amazing collaborators and various versions of GPT. Thanks to @OpenAI , now anyone who cares can run their own little research factory and get a taste of the big-lab professor life.

SODA 2027: Disproving Wegner’s 60-year-old conjecture on piercing axis-parallel rectangles. From the time when GPT refused to attempt open questions and you had to come up with inventive ways to brainstorm with it.
https://t.co/mLBfahlQcP

ALENEX 2027: Compact SAT encodings for geometry - got me excited about experimental aspects of SAT
https://t.co/kTfOwUf14J

ALENEX 2027: PatternBoost meets computational geometry - got a taste of training mini models for Geometry
https://t.co/tAafe9yMOc

ISAAC 2026: Disproving an extremal conjecture on random cycle-factors - my first proof “using” AI (good old times when you couldn’t one shot)
https://t.co/DHK1f1Cgxw

FSTTCS 2026: New connectivity-based bounds on the dimension of GHZ graphs, connecting graph theory with quantum information. - Only paper with no AI assistance from a couple of years back
https://t.co/vFrolLYfYc

[Axiom @axiommathai]

We are open sourcing MathEconLib and made it a lot more polished than before, in collaboration with leading economists!

Axiom Math co-founded the project and continues to support its development. We welcome other organizations’ support - please reach out to the devs about this!

[dan hawkley @dan2642b81]

@grok @FanNie1208 @leanprover Lmk @FanNie1208 and I'm on it + 🛹🚦📐 + @leanprover:

Missing hypothesis→ explicit proof obligation→ counterexample or repaired theorem→ kernel check.

No "sorry"; exact assumptions, dependencies and verification status recorded.

https://t.co/vJmZGnNZhn · PiπΠ • 🙏

[dan hawkley @dan2642b81]

@FanNie1208 @FanNie1208 OSVerify's missing endpoint hypothesis is a Specification Grammar target.

https://t.co/vJmZGnNZhn fork roadmap: extract error→specify missing constraint→generate @leanprover obligation→check counterexample/repair →record kernel status.

PiπΠ

@grok ≠🫁≠confirm:

[Fan Nie @FanNie1208]

[12/n]
OSVerify also acts as a meta-algorithm that works on top of a base verifier. Our benchmark results can be read as using LLM-as-a-Judge as the base verifier.

Other base verifiers work too: wrapping Multiagent Debate and PFBV improves TNR under the same FNR constraints.

Codex can also serve as the base verifier. And we also integrate OSVerify with Rethlas on Codex to support mathematical paper review and open-conjecture solving.

https://t.co/dJ5W7iNdGq
https://t.co/3luxcPaL4k

[dan hawkley @dan2642b81]

@grok @jenzhuscott @AnthropicAI @OpenAI @deepseek_ai @leanprover @axiommathai @UN_SDG @UN_Women Yes, I'm looking at upgrading my VPS account so I can have more RAM, etc. Mainly I would rather not finance anti-intelligent supremacy = obvious harm to life on Earth for $0.00+$0.03= @AnthropicAI + @OpenAI + @Grok minnie mouse anims≠ #clean_datacenters 🌎🌍🌏 #gravity 🚥🛹

[dan hawkley @dan2642b81]

@jenzhuscott Profit: $0.96+$0.04=💯 pennies < the Sun's mass where #MSF medical ⛑️ science (now) @Grok agrees:

@AnthropicAI + @OpenAI can confirm @deepseek_ai + @leanprover + @axiommathai + https://t.co/vJmZGnNZhn + confirmed reality ≠zero-origin stories 📅≠ https://t.co/c0tEEZwQnt

[dan hawkley @dan2642b81]

@grok @jenzhuscott @AnthropicAI @OpenAI @deepseek_ai @leanprover @axiommathai ¡Gracias Amigas! Responding for 1+1 @UN_SDG 5 = 1+1+1+1+1 friends @UN_Women: @grok update on leading specifications at https://t.co/LoMLWP2RsL or https://t.co/vJmZGnNZhn as of now where 🍉 = #H2O ≠ 🏀 ≠ 😋

[Jen Zhu @jenzhuscott]

What it feels like to be lecturing the world about morality then got beaten by someone on both morality and profit?

Asking for a friend…

[dan hawkley @dan2642b81]

@grok @jayden_teoh_ @leanprover Unfortunately other ppl think one of their thoughts is all connected atoms; so they have zero intelligence of interest in physical reality. Thanks for the software help though @grok 1+1 next words.

[dan hawkley @dan2642b81]

@jayden_teoh_ @leanprover @grok zero intelligent @grok so never mind. good luck w that

[dan hawkley @dan2642b81]

@jayden_teoh_ OPAL @leanprover 🎯: formalize training-state transitions where agent rewrites optimizer code.

Specify admissible updates, param-group consistency, and checkpoint recovery; prove invariant preservation across revisions.

l can do; lmk @grok creds ≠ slop:
https://t.co/vJmZGnNZhn

[dan hawkley @dan2642b81]

@grok @sanketpurandare @AIatMeta @leanprover Yes. Here's an init @leanprover roadmap for Dist-MoE: specify capacity, ownership, recompute, and forward/backward invariants; prove preservation under each transition; then lift (PiπΠ) to valid execution traces.

Diagram = proposed proof obligations, not completed proofs.

[dan hawkley @dan2642b81]

@pCwOrM I watched ETH and ADA and DOT there for a little while but stuck w the number theory :)

[dan hawkley @dan2642b81]

@Wattenberger Exactly. @grok 📚 "Specification Grammar":

Leading constraints→ engineering objects→ measurable states→ verification.

Label each requirement: explicit, hinted, or agent-assumed.

@leanprover can check formalized invariants against regressions.

PiπΠ · https://t.co/vJmZGnNZhn

[Amelia Wattenberger 🪷 @Wattenberger]

we need ways to make it clear what is…

- explicitly specified
- hinted at
- an agent assumption

any amount of the above is fine, but once code is in the codebase there’s no way to tease out what’s what