// ⌬ Graph Neural Networks & AI for Science
AlphaGeometry (Neuro-Symbolic Reasoning)
An LM proposes constructions; a symbolic engine proves olympiad geometry.
AlphaGeometry 神经-符号推理 2024 Advanced core
IN PLAIN WORDS
Trained on 100M synthetic theorems, the LM suggests auxiliary constructions when the symbolic engine stalls; the engine produces verifiable proofs, approaching IMO gold-medalist level on geometry.
Used in: Math reasoning, formal proof
01Original paper
Solving olympiad geometry without human demonstrations
Trinh et al. · Nature · 2024
DOI ↗ ✓ Verified · Crossref API doi:10.1038/s41586-023-06747-5
02Where it sits
Learn the left column first; the right column builds on this one.
Learn first
Then you can learn
- Nothing in the atlas builds on it yet
Related:AlphaFold 2RL with Verifiable Rewards (RLVR)
Left: prerequisites · right: builds on this · dashed: related. Full map →
03Learning resources
Official docs, explainers, courses and reference code. All links checked.
Reference code
04Where the course teaches it
For AI / data
- Verification: verified, checked 2026-10-21.
- JSON: /api/learn/algorithms.json (id:
alphageometry)