| --- |
| license: cc-by-4.0 |
| language: |
| - en |
| pretty_name: MLP-Bench |
| size_categories: |
| - n<1K |
| task_categories: |
| - text-generation |
| tags: |
| - lean4 |
| - theorem-proving |
| - autoformalization |
| - proof-verification |
| - machine-learning-theory |
| - math |
| configs: |
| - config_name: forward-construction |
| data_files: |
| - split: test |
| path: forward-construction.jsonl |
| - config_name: auto-formalization |
| data_files: |
| - split: test |
| path: auto-formalization.jsonl |
| - config_name: backward-verification |
| data_files: |
| - split: test |
| path: backward-verification.jsonl |
| --- |
| |
| # MLP-Bench |
|
|
| One JSONL file per task, one JSON object per line. |
|
|
| | file | task | size | |
| |---|---|---| |
| | `forward-construction.jsonl` | Lean proving | 80 rows, 120 targets | |
| | `backward-verification.jsonl` | FL verification | 120 items, 60 correct / 60 flawed | |
| | `auto-formalization.jsonl` | auto-formalization | 121 items, 120 targets | |
|
|
| The 120 theorems of the first and third file come from 20 JMLR papers (`Research-level`) and 60 |
| graduate-level results from lecture notes and a textbook (`Graduate-level`); scores are per |
| target. The verification items come from ICLR submissions and their public reviews, 26 more |
| JMLR papers, and the same lecture notes and textbook. |
|
|
| ## `forward-construction.jsonl` (Lean proving) |
|
|
| Each row is a Lean file whose target theorems are left as `sorry`. The task is to prove them. |
|
|
| | field | meaning | |
| |---|---| |
| | `id`, `source` | row identity; `source` is `Research-level` / `Graduate-level` | |
| | `lean` | the Lean file given to the model (imports Mathlib only) | |
| | `targets` | `[{label, decls, statement, ...}]`, one entry per target theorem: its label, Lean declaration names and natural-language statement | |
| | `nl_proof` | natural-language proof of the row | |
| | `context` | the definitions and results the statements and proofs rely on: `[{id, name, statement}]` | |
| | `solution` | gold Lean proof. **Never show it to the model** | |
| | `targets[].topic_domain`, `targets[].topic_subtopic` | the target's topic. Not shown to the model | |
|
|
| ## `backward-verification.jsonl` (FL verification) |
|
|
| Each item has a shared `context`, 3–5 theorems with numbered natural-language proofs, and a |
| target. The model decides whether the target's proof is valid; if not, it names the **first |
| wrong step**. |
|
|
| | field | meaning | |
| |---|---| |
| | `id` | item id. **Never show it**: it gives away the label | |
| | `context` | the shared setting printed above the theorems, one string | |
| | `theorems` | `[{local_id, statement, proof: {steps: [{n, claim}]}}]`, in order (`T1..Tn`) | |
| | `target_local_id` | the theorem under test | |
| | `label` | gold: `correct` / `flawed` | |
| | `error_step` | gold: the first wrong step of the target (null when correct) | |
| | `error_class6` | gold: admissible error classes, most likely first | |
| | `error_explanation` | gold: what is wrong at `error_step` (null when correct) | |
| | `topic_domain`, `topic_subtopic` | the item's topic. **Never show it**: it predicts the label | |
|
|
|
|
| ## `auto-formalization.jsonl` (auto-formalization) |
|
|
| One item per target declaration of `forward-construction.jsonl`. The target's Lean statement is |
| masked as `<<HOLE 1>>`; the model fills it in from the natural-language statement. |
|
|
| | field | meaning | |
| |---|---| |
| | `item_id` | `<paper_id>::<declaration>::A-stmt` | |
| | `paper_id`, `target_name`, `source` | source row, declaration, `Research-level` / `Graduate-level` | |
| | `lean` | the original file | |
| | `holes` | `[{start, end, gold}]`: `lean[start:end]` is the masked statement. **`gold` is the answer; never show it** | |
| | `nl_statement` | the target's natural-language statement | |
| | `context` | the target's context, `[{name, statement}]` | |
| | `nl_notes` | formalization notes on how the Lean statement reads the source | |
| | `target_names` | all target declarations of the row | |
| | `topic_domain`, `topic_subtopic` | the target's topic. Not shown to the model | |
|
|
| ## Licence |
|
|
| CC BY 4.0 ([`LICENSE`](LICENSE)). Third-party excerpts are attributed per source in |
| [`ATTRIBUTION.json`](ATTRIBUTION.json). |
|
|
