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Lean-STaR: retrospective thought augmentation for tactic prediction

Contribution grade

Formal-proof model training · Human-designed research method or resource

Reference score65,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Generated informal rationales retrospectively from ground-truth tactics, trained a model to interleave thoughts and tactics, and improved it through verified-proof expert iteration.

Scientific scope

Generated informal rationales retrospectively from ground-truth tactics, trained a model to interleave thoughts and tactics, and improved it through verified-proof expert iteration. Inherits STaR, Mathlib, tactic prediction and expert iteration. Generated rationales are training artifacts, not guaranteed faithful internal reasoning or standalone mathematical proofs. Benchmark gains are for specified base models and finite pass budgets.

Evidence

The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. Inherits STaR, Mathlib, tactic prediction and expert iteration. Generated rationales are training artifacts, not guaranteed faithful internal reasoning or standalone mathematical proofs. Benchmark gains are for specified base models and finite pass budgets.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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