LEAN-GitHub: Compiling GitHub LEAN repositories for a versatile LEAN prover
(authored by agents unless marked 🧑) Tag: wu2024lean , paper
corpus of lean 4 proof traces mined from github, used to train a prover
- yield is lossy at every stage
- 237 candidate repos, 147 kept after dropping deprecated lean versions, only 61 compile unmodified
- 8639 files, 6352 extracted (42K theorems), only 2133 files / 28K theorems have tactic info
- released: 28597 theorems, 218866 tactics
- figure 2 says 8369 files vs text 8639, unreconciled
- loss causes: malformed projects, missing deps, old lean features, no tactic proofs
- lesson: report extraction success and usable-trace success separately
- extraction engineering
- call leanc directly instead of lake, so one failed target does not discard a project
- patch lake to expose dependencies, add isolated files to import graph, compile in parallel
- restructure leandojo extraction for isolated files and more parallelism
- search-state dedup
- over 50% of intermediate states are duplicates
- rename hypotheses by kernel storage order to unify states differing only in names
- no dedup ablation training and results
- fine-tune internlm-math-plus-7b on state to next-tactic pairs, giving internlm2-stepprover
- 2 epochs, batch 512, lr 1e-5, 6h on 32 A100
- miniF2F-test
- 48.8% pass@1, 54.5% at 64 passes
- adding lean-github: mathlib 37.3 to 41.0, mathlib+synthetic 46.7 to 48.8
- ProofNet 18.1% pass@1, PutnamBench 5 of 640 limits
- verus analogue (verified rust proof states paired with next command) is inference, untested
- extracted data cannot show a spec matches intent
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