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MOC — Formal Mathematics & Proof Search

PublishedMay 25, 2026FiledConceptTopicArchitectureReading1 minSourceAI-synthesised

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Illustration for MOC — Formal Mathematics & Proof Search

Formal Mathematics & Proof Search#

Map of Content for the formal-math domain — 3 concepts. Curated entry point; see Home for all domains.

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  • Agentic Loops Overtake Bespoke Systems — DeepMind's basic Ralph-loop agent matched its bespoke evolutionary+AlphaProof system as the LLM improved; the bitter lesson / harness-shrinkage confirmed in formal math
  • AI-Driven Formal Proof Search — LLM generates Lean, compiler verifies every step → eliminates hallucination; DeepMind resolves 9/353 Erdős + 44/492 OEIS open problems; verification as a filter for human review
  • Evolutionary Proof Search — The full-featured agent's mechanism: population DB of proof sketches, Elo via Plackett–Luce/Gibbs, P-UCB selection, LLM-critic fitness for binary proof eval <!-- END GENERATED: moc -->
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