{
  "@context": "https://schema.org",
  "@type": "article",
  "@id": "https://anchorfact.org/kb/ai-mathematical-reasoning",
  "headline": "AI for Mathematical Reasoning: Theorem Proving with Lean, AlphaProof, and Formal Mathematics",
  "description": "AI is learning to prove mathematical theorems -- from International Mathematical Olympiad geometry problems (AlphaGeometry) to formal proofs in Lean 4 (AlphaProof). The combination of LLM reasoning, reinforcement learning, and formal verification is creating AI systems that not only solve problems but produce human-verifiable, logically rigorous proofs.",
  "dateCreated": "2026-05-24T02:49:13.559Z",
  "dateModified": "2026-05-24",
  "author": {
    "@type": "Organization",
    "name": "AnchorFact"
  },
  "publisher": {
    "@type": "Organization",
    "name": "AnchorFact",
    "url": "https://anchorfact.org"
  },
  "license": "https://creativecommons.org/licenses/by/4.0/",
  "anchorfact:confidence": "high",
  "anchorfact:generationMethod": "ai_assisted",
  "citation": [
    {
      "@type": "CreativeWork",
      "name": "AlphaProof: Formal mathematical reasoning in large language models via RL and formal verification",
      "sameAs": "https://www.nature.com/articles/d41586-025-03585-5"
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    {
      "@type": "CreativeWork",
      "name": "AlphaGeometry: Solving olympiad geometry without human demonstrations",
      "sameAs": "https://www.nature.com/articles/s41586-023-06747-5"
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}