Breakthrough Tracker record
AlphaProof Nexus receives peer-reviewed publication for broad formal proof search
The Science paper reports that AlphaProof Nexus produced Lean-checked resolutions for 9 of 353 selected open Erdős problems and proofs for 44 of 492 selected OEIS conjectures, with public formal and human-readable proof materials.
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- Stable ID
math-alphaproof-nexus-peer-reviewed-2026- Revision
math-alphaproof-nexus-peer-reviewed-2026.v1- Field
- Mathematics and artificial intelligence · Formal mathematics, combinatorics and automated theorem proving
- Evidence
- Tier 1 · Peer reviewed: Yes
- Record state
- Current · Peer-reviewed formal proof-search result
- Last checked
AI role
The proof-search agent is central. Human researchers selected and encoded problems, curated the evaluation and released proof artifacts; Lean checked the formal statements supplied to it.
Record details
- Problem or result
- Large-scale Lean-verified proof search across selected Erdős and OEIS conjectures
- Authors
- George Tsoukalas, Anton Kovsharov, Sergey Shirobokov and collaborators
- Institutions
- Google DeepMind, Aarhus University and Google
- Result date
- Science publication October 8, 2026; underlying preprint first posted May 21, 2026
Why it matters
Peer review and public formal artifacts turn an earlier system announcement into a reproducible, broad demonstration of AI-guided formal proof search across a curated open-problem set.
Limits
The October event is peer review of the system and reported result set, not the first discovery date for every included proof. Problem selection, statement encoding, novelty and mathematical significance vary, and formal checking does not independently validate every natural-language interpretation.
Sources
- Primary: Science paper on AlphaProof Nexus
- Preprint: AlphaProof Nexus preprint
- Formal proof: AlphaProof Nexus public result repository
- Independent commentary: Science commentary on AI-assisted formal mathematics
Correction and revision history
- 2026-10-19 — Added after primary-source, scope, status, AI-role and limitation review.
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