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Paper · arXiv

Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning

Supervised Fine-Tuning (SFT) is widely used for task-specific adaptation, yet recent work shows it systematically undermines reasoning generalization. We argue the root cause is not memorization itself, but its target: vanilla SFT drives models to exploit and memorize spurious surface correlations in problem-solution pairs, leaving them brittle to superficial input variations. To address this, we propose Theorem-SFT, which reorients supervision toward explicit theorem application by teaching models how rules are invoked rather than what answers look like. Theorem-SFT yields consistent gains across benchmarks and model families: +8.8% on MATH (LLaMA3.2-3B-Instruct) and +20.27% on GeoQA (Qw...

AuthorsRuiying Peng, Mengyu Yang, Jing Lei et al.
Primary categorycs.LG
Published10 May 2026
Last updated at source25 May 2026
cs.LGcs.AI
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