README.md

metadata

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). Third-party excerpts are attributed per source in ATTRIBUTION.json.