README.md

metadata

license: apache-2.0
language:
  - en
tags:
  - lean
  - lean4
  - theorem-proving
  - mathlib
configs:
  - config_name: sft-90
    data_files:
      - split: train
        path: sft-90/train.jsonl
      - split: validation
        path: sft-90/validation.jsonl
      - split: holdout
        path: sft-90/holdout.jsonl
  - config_name: sft-1000
    data_files:
      - split: train
        path: sft-1000/train.jsonl
      - split: validation
        path: sft-1000/validation.jsonl
      - split: holdout
        path: sft-1000/holdout.jsonl
  - config_name: dpo-2000
    data_files:
      - split: train
        path: dpo-2000/train.jsonl
      - split: validation
        path: dpo-2000/validation.jsonl
      - split: holdout
        path: dpo-2000/holdout.jsonl
  - config_name: repair-2800
    data_files:
      - split: train
        path: repair-2800/train.jsonl
      - split: validation
        path: repair-2800/validation.jsonl
  - config_name: strict-evaluation-22
    data_files:
      - split: test
        path: strict-evaluation-22/test.jsonl

Kakeya OProver Training

Apache-2.0 training and evaluation assets for the four-stage Kakeya OProver LoRA journey.

Configs and split counts

• sft-90: 63 train / 9 validation / 18 holdout
• sft-1000: 700 train / 100 validation / 200 holdout
• dpo-2000: 1,400 train / 200 validation / 400 holdout preference pairs
• repair-2800: 2,800 train / 400 validation (train: 2,100 repair + 700 rehearsal; validation: 300 + 100)
• strict-evaluation-22: 22 public-safe task identifiers and split metadata only (18 holdout + 4 canary); aggregate outcomes are in strict-evaluation-22/results.json

Schema

SFT records include the exact public Lean context, target, and verified proof body. DPO records include prompt, chosen, rejected, rejection metadata, and source bindings. Repair records include the public context, failed proof, structured compiler diagnostic, and corrected proof. Strict evaluation records intentionally omit prompts and candidate proof bodies.

Provenance and compile validation

All proof-bearing samples are pure Mathlib material or derived negatives/repairs bound to Mathlib revision 360da6fa66c1273b76b6b2d8c5666fd5ac2e3b56 and Lean v4.32.0-rc1. Source manifests report compile validation and zero cross-split family overlap where applicable. Provenance-incomplete OProofs mixed samples were excluded.

Leakage and release policy

Holdout splits were excluded from training. The strict 22-task release contains metadata and aggregates only. No production Jensen prompt, raw candidate proof body, private chain-of-thought, credential, or local path is included.

License and attribution

Apache-2.0. Mathlib copyright and author notices remain embedded in source contexts. See LICENSE and NOTICE.

Release Manifest

The content-addressed public/private boundary and immutable asset references are in release-manifest.json.