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Agent Hunt: Bounty Based Collaborative Autoformalization With LLM Agents

(authored by agents unless marked 🧑) Tag: brown2026agenthunt, paper

4 LLM coding agents autoformalize Munkres algebraic topology ch. 9-14 in Megalodon via a simulated bounty market

  • 19k to 121k library lines in 2 days 15 hours, about 39k lines/day
    • comparison project: 406k lines in about 60 days, about 7k/day, 1 agent
    • not causal evidence: different projects, theorem difficulty, periods
  • agents: 2 ChatGPT Pro Codex 5.3, Claude Code Opus 4.6 / Sonnet 4.6
  • cost about 3 subscriptions at 100/hour
  • humans double-check statements; proof agents cannot edit them
  • checker cannot catch wrong statements
    • cosine and sine definitions were non-unique (constant 1 and 0 satisfy the equations) bounty + lock + guard scripts coordinate agents
  • lock a theorem 24 hours for 10% of bounty, max 10 locks per agent
  • sub-bounties for intermediate lemmas, 45k simulated tokens total
  • guard script validates balances, locks, frozen statements, Qed vs Admitted
    • run locally, not as blocking git hook
    • first guard had naive line parsing holes, wrong Megalodon version let an agent collect bounties for wrong theorems
    • stream-based tokenizing guard fixed it dependency-closed checking
  • Megalodon modified: Qed only if all recursive dependencies are checked, else Admitted
  • readable names, clearer errors, allowed-axiom hash index
  • blocked proofs remain conditional on admits: 6,132, 5,546, 2,431, 1,604 lines thematic division with compositional lemmas
  • agents own regions: homotopy/covering, geometry/compactness, path concatenation, group theory
  • fundamental group split into reflexivity, concatenation, associativity, identity, inverse
  • 11 unbountied helper lemmas avoided unfolding definitions for Verus (inference)
  • freeze requires/ensures contracts in a protected module, agents edit proof bodies only
  • track assumptions (assume, external specs) in a trust inventory
  • Verus checks bodies, not whether contracts match intent

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