DeepMind uses AlphaProof Code to formally verify Signal's protocol
Gemini Carbon agents produced over six million lines of Lean in four weeks and flagged two reintroduced bugs.
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Gemini Carbon agents produced over six million lines of Lean in four weeks and flagged two reintroduced bugs.

Paying users get API access at $2 and $10 per million tokens until November 30; Carbon for cyber stays in Fairwind.
Noninterference and simulation-based definitions are proved equivalent, with verification via quantum Hoare logic and self-conjugation.

Agents turned about 7,654 pages into roughly 16 million lines of Lean checked by a proof assistant.
The Hacker News post has 21 points and 3 comments; the feed gives no technical or release details.
Of 171 numerical linear algebra and PDE targets, 157 were accepted at a mean estimated cost of $0.85–2.29 each.
The pipeline cut false-positive verdicts on natural-language proofs from 23% to 6% versus one-shot LLM judgment.

The roundup also covers Genie 4's limited preview, a Lean formalization of CFSG, and disputed ETH claims.
On a stratified Aegis sample of 2,000 statements, it proves 1,054 within a 30-minute budget.

OpenAI says models disproved the Exponential Time Hypothesis and proved local smoothing in every dimension; reviewers have not endorsed the claims.
Shepherds chose three release paths; Lean writeups for the math and ETH results are already public.
With matched models, a single attempt plus verifier feedback solved eight open FormalConjectures problems and led three formal benchmarks.

Rocq checks the proofs, which hold only for one architecture, single-threaded code, and inputs under 64 MB.

Proofs cover single-threaded RISC-V static binaries and inputs under 64 MB; a subset and a Claude skill are being published.
The admit-free proof surfaces unstated side conditions, including a missing branch in the published argument.
It runs in Claude Code or Codex, pauses on ambiguous claims, and emits an annotated paper plus linked Lean code.
Across six 5- or 9-replica deployments, mean latency fell 12.2% on write-heavy and 33.3% on read-heavy workloads.
On Trojan Hippo, the authors report zero attack success when self-verification and lightweight verifiers confirm memory.
The method verifies 81 of 105 DynaCertBench instances, 17.1 points above one-shot proposals without feedback.
A new 459-case benchmark finds simulation and formal scoring can disagree, and specification-only baselines swing widely.
An Airlock blocks an operation unless the agent supplies a proof that agreed constraints hold in every modeled case.

doubleAI says Maxwell proves each rewrite equivalent to the original and claims large speedups on GPUs and CPUs.
The technique allows compartments to observe each other's code and is applied to a tag-based reference monitor.

Mathematicians dispute OpenAI's Navier-Stokes Lean proof, saying it differs from the cited approach and agent credit is unclear.
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