Lean Workbook releases a large formal-informal mathematics dataset

An iterative generation-and-filtering pipeline translates natural-language math problems to Lean 4 statements and back.

What happened?

Lean Workbook released about 57,000 formal-informal question pairs together with searched proofs and 21 new IMO questions.

Why it matters

The dataset lowered a key bottleneck for training larger Lean provers: the scarcity of aligned formal and informal mathematics.

Significance rationale: Lean Workbook expanded the supply of paired natural-language and Lean problems for training autoformalizers and provers.

Historical context

Primary evidence

Evidence & status at a glance

Significance
H2 · Field milestone
Verification
Paper released
Evidence level
E3 · Inspectable artifact
AI role
Substantive AI support
Formal assurance
Artifact available

How should these labels be read? →

Contribution & verification

Mathematical novelty
Tooling only
Interface
Informal, Formal, Hybrid
AI contribution
Models participate in synthetic translation and proof search used to construct the dataset.
Human contribution
Researchers designed the iterative data pipeline, filtering criteria and release.
Verification
Paper released · E3 · Inspectable artifact · Artifact available
Last reviewed
2026-09-11

Technical details

Systems
lean-workbook, lean
Organizations
shanghai-ai-laboratory
Problems
formalization-data
Methods
synthetic-data, autoformalization, proof-search

Sources & artifacts

Verification history

  • 2024-06-06 · Paper released · E2 · Research record

    The Chronicle records this event from the cited primary or official source; the status does not imply independent Chronicle verification.

  • 2026-09-11 · Paper released · E3 · Inspectable artifact

    This corpus refresh added a directly inspectable public artifact maintained by the authors or releasing organization. E3 records artifact-level inspectability and does not imply independent verification of the underlying scientific or mathematical claim.

Corrections

No corrections recorded.