QED

$QED is the world's first coin launched by Aristotle, the mathematical superintelligence from @vladtenev second company, @HarmonicMath.

∎

[QED @QEDRH]

QED is the world's first coin launched by Aristotle, the mathematical superintelligence from @vladtenev second company, @HarmonicMath

How this is possible

When Aristotle proves something, it produces a lean file that a computer checks line by line. Two outcomes: pass or fail.

That's what makes it a trigger. We call it deploy-by-proof.

QED's rules were written as math: 1B supply, no mint, burn-only, fixed 1% fee, paired to $ETH. Aristotle was handed the rules. Aristotle proved all six and by doing so the protocol stamped it on the blockchain, and it launched on @ponsdotfamily

No proof, no launch. No human pressed anything.

The evidence

The evidence

The proof, on-chain before the coin existed:
https://t.co/okzL4V7tDQ

Open it, scroll down to Raw input, switch Hex to UTF-8, and read the entire Lean proof.

The launch, 137 blocks later, same wallet:
https://t.co/giXlINlxRV

Sent by the same script, which only reaches this step after the proof passes.

The rules and the script: https://t.co/a1Al0hfNUW

Hash the proof file: 4fd236b31383b98fadf409e5d664882f8b25d2e932691a7cfb50332e7fc0f55c. It matches the on-chain proof. Run lake build. It compiles with zero gaps.

What a proof is

In mathematics, a proof is a logical argument that shows a mathematical statement is unconditionally true.

Meaning of $QED

The mark mathematicians write at the end of a finished proof. It means "proven." The coin is named after the moment it launched.

What it does now

Theorems posted everyday, proven by Aristotle, posted to this account.

Logo

The tombstone (∎ or □), the symbol mathematicians use to mark the end of a proof.

CA:
0xA41f6A923b58578C21E0895Da8152A3aFF2df4d0

Website: https://t.co/7J4iVXQ6Lc
Github: https://t.co/a1Al0hfNUW

$QED ∎

[QED @QEDRH]

How to check $QED, in 60 seconds.

Open this transaction:
https://t.co/J70dn6UeBy

Scroll to Raw input. Switch Hex to UTF-8. That's the full proof of QED's rules, on-chain, block 66405641.
Open this one:
https://t.co/IxAInnhTIc

Same wallet, 137 blocks later. That's the coin being created.

Open the code:

https://t.co/cur1V6x61A

Read https://t.co/I57BPFmOoJ. Proof first, then launch. If the proof fails, it exits.

Proof, then coin. In that order, on the same chain, from the same wallet. You don't have to trust us; you have to read.

∎

[QED @QEDRH]

Vibe launching is here.

We wrote a coin's rules in plain math, handed them to Aristotle, and let the proof decide whether the coin exists. It proved all six rules, the proof went on-chain, then the coin launched. Nobody pressed deploy.

Vibe proving, then let the proof do the rest.

https://t.co/cur1V6x61A

$QED ∎

[Vlad Tenev @vladtenev]

Vibe proving is here @HarmonicMath

[QED @QEDRH]

Formal verification is the future of crypto

$QED ∎

[Harmonic @HarmonicMath]

Formal verification is the future of crypto

[QED @QEDRH]

@mikelemike Yep. Lean, the language Aristotle writes proofs in, was created at Microsoft Research, so the first idea was pairing to $MSFT. Felt like a stretch. ETH is more timeless, so we went with that. The mechanism never changed: no proof, no launch

[QED @QEDRH]

Two years later, this AI launched a coin.

We wrote $QED's rules as math. Aristotle proved them. The proof went on the blockchain first, then the coin.

The script won't launch without a passing proof.

Every step is on-chain and public:

The proof, before the coin existed:
https://t.co/J70dn6UeBy

(scroll to Raw input, switch to UTF-8, read it)

The code: https://t.co/cur1V6x61A

$QED ∎

[Vlad Tenev @vladtenev]

Announcing the formation of Harmonic, a commercial AI research lab building Mathematical Superintelligence (MSI). 1/

[QED @QEDRH]

This is @vladtenev and @tachim in the HP garage, announcing that their AI, Aristotle, won gold at the International Math Olympiad.

Watch how Vlad talks about it. He was a math PhD student before Robinhood. @HarmonicMath is his second company, and he calls mathematical superintelligence "humanity's ultimate discovery."

What Aristotle does, in plain terms: you give it a math statement, it writes a proof, and a computer checks every line. There is no "sounds right." It's pass or fail, no in between.

That pass/fail is what we used. We wrote QED's rules as math, handed them to Aristotle, and set it up so the coin could only launch if the proof passed. It passed. The proof went on-chain, then the coin.

No proof, no launch.

$QED ∎

[QED @QEDRH]

Theorem 1: Robin Hood can rob the rich and pay the poor forever, and the kingdom never gains or loses a single coin.

Same math that keeps a token ledger honest. Move it around all you want, the total stays exactly the same.

Proved by Aristotle. Machine-checked, zero gaps.

Model: a kingdom state is s : Fin n → ℕ giving each person's whole number of coins, with https://t.co/bz1SXY5M6k s = ∑ i, s i. Kingdom.Robbery s t holds when there are people i ≠ j and an amount k ≤ s i such that t is s with person i's holding reduced to s i - k and person j's increased to s j + k. Kingdom.Robberies is the reflexive–transitive closure, i.e. any finite (possibly empty) sequence of robberies.

Results: https://t.co/bz1SXY5M6k_eq_of_robbery shows a single robbery preserves the total (proved by comparing the two states pointwise up to the transferred amount and summing), and https://t.co/bz1SXY5M6k_eq_of_robberies extends this by induction on the sequence, giving total t = total s after any finite sequence of robberies.

@HarmonicMath @vladtenev