Harmonic (@HarmonicMath) / X

Harmonic

306 posts

Harmonic

@HarmonicMath

Building Mathematical Superintelligence

Joined January 2024

Harmonic
@HarmonicMath
Jun 18
🪄🧙Aristotle is the mathematician's super-assistant Check out how @LorenzoLuccioli uses Aristotle to develop new results in algebraic combinatorics
Lorenzo Luccioli
@LorenzoLuccioli
Jun 17
Happy to share that our paper “Mapping Uncharted Symmetries: Machine Discovery in Combinatorics” has been accepted to the ICML 2026 AI4Math Workshop. We study AI for discovery in algebraic combinatorics, with verification in @leanprover using @HarmonicMath’s Aristotle. 1/11
8.6K
Harmonic
@HarmonicMath
Jun 18
The negation of Erdos unit distance conjecture, now formalized by Aristotle You can try it for free at aristotle.harmonic.fun
Alex Kontorovich
@AlexKontorovich
Jun 15
Oh and Kim Morrison used Claude + Aristotle + Codex to formalize the negation of the Erdos unit distance conjecture: github.com/kim-em/erdos-u… It's nice to see that this was built on top of PNT+; so despite the fact that we haven't been able to upstream it to Mathlib (the Residue
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Harmonic
@HarmonicMath
Jun 18
JUST IN: Aristotle claims the top spot in lean-eval, the Lean AI formalization leaderboard! Aristotle is getting stronger and more capable by the day, try it out for your formalization needs.
31K
Harmonic
@HarmonicMath
Jun 18
Source: lean-lang.org/eval/
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Harmonic reposted
Lorenzo Luccioli
@LorenzoLuccioli
Jun 17
Happy to share that our paper “Mapping Uncharted Symmetries: Machine Discovery in Combinatorics” has been accepted to the ICML 2026 AI4Math Workshop. We study AI for discovery in algebraic combinatorics, with verification in @leanprover using @HarmonicMath’s Aristotle. 1/11
13K
Harmonic
@HarmonicMath
Jun 13
NOW LIVE: Ask Mode for Aristotle Agent Get real-time insights into your agent's work without interrupting its execution with Ask Mode. If you need to change direction rather than just ask questions, Instruct Mode is still active to let you steer mid-run. Try it out and let us
3.6K
Harmonic
@HarmonicMath
Jun 9
Formal verification is the future of crypto
Derek
@dhsorens
Jun 5
We at Protocol Snarkification - me and @alexanderlhicks, plus about 30 or so external collaborators - are working hard with formal verification to ship the highest-assurance zkVMs possible. (see end of thread for collaborators) (1/n)
4.4K
Harmonic
@HarmonicMath
Jun 9
🔥
Satnam Singh
@satnam6502
Jun 4
Fantastic to have Rustan Leino join us at @HarmonicMath to help advance AI ✕ mathematics ✕ verification.
3.2K
Harmonic
@HarmonicMath
Jun 9
In the future, all critical software will be formally verified.
Vladimir Novakovski
@vnovakovski
Jun 5
As we discussed with @VitalikButerin on our Fireside, formal verification is a big positive outcome from AI that will more than counterbalance the effects of AI finding new bugs. I am strongly supportive of math AI tools like Aristotle from @HarmonicMath driving this forward.
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Harmonic reposted
Daniel Litt
@littmath
May 27
Replying to @littmath
And @PietroMonticone has formalized problem 3!
9.3K
Harmonic
@HarmonicMath
May 17
Mathematical superintelligence is nearer by the day. Wouter van Doorn presented at NYNTS how he used Aristotle to tackle an important unsolved problem in number theory. Check it out here:
Bartosz Naskręcki
@nasqret
May 14
Today at the New York Number Theory Seminar, Wouter and Pietro were discussing their new paper. Really cool use of the AI-human feedback loop, with Aristotle as the main AI ingredient. I explained how I think formalization feels like doing the low-tech steps of algebraic
21K
Harmonic
@HarmonicMath
May 17
ICYMI: A few quality of life improvements landed in Aristotle Web to make it much more interactive and responsive: ▪ Live Updates. Aristotle can now share updates while it's in the middle of a run, so that you always know what it's doing and whether it's on track. ▪
40K
Harmonic reposted
Bartosz Naskręcki
@nasqret
May 14
Today at the New York Number Theory Seminar, Wouter and Pietro were discussing their new paper. Really cool use of the AI-human feedback loop, with Aristotle as the main AI ingredient. I explained how I think formalization feels like doing the low-tech steps of algebraic
Pietro Monticone
@PietroMonticone
May 13
Here's what András Sárközy, Erdős's most prolific collaborator, asked 25 years ago: "How small can one make the maximal gap between the consecutive elements of a multiplicative Sidon set selected from {1, 2, ..., n}?" In particular: does there exist a multiplicative Sidon set A
31K
Harmonic reposted
Pietro Monticone
@PietroMonticone
May 13
Here's what András Sárközy, Erdős's most prolific collaborator, asked 25 years ago: "How small can one make the maximal gap between the consecutive elements of a multiplicative Sidon set selected from {1, 2, ..., n}?" In particular: does there exist a multiplicative Sidon set A
54K