FaithRL: Learning to Reason Faithfully through Step-Level Faithfulness Maximization

Runquan Gui, Yafu Li, Xiaoye Qu, Ziyan Liu, Yeqiu Chen, Yu Cheng


Abstract
Reinforcement Learning with Verifiable Rewards (RLVR) has markedly improved the performance of Large Language Models (LLMs) on tasks requiring multi-step reasoning. However, most RLVR pipelines rely on sparse outcome-based rewards, providing little supervision over intermediate steps and thus encouraging over-confidence and spurious reasoning, which in turn increases hallucinations. To address this, we propose FaithRL, a general reinforcement learning framework that directly optimizes reasoning faithfulness. We formalize a faithfulness-maximization objective and theoretically show that optimizing it mitigates over-confidence. To instantiate this objective, we introduce a geometric reward design and a faithfulness-aware advantage modulation mechanism that assigns step-level credit by penalizing unfaithful steps while preserving valid partial derivations. Across diverse backbones and benchmarks, FaithRL consistently reduces hallucination rates while maintaining (and often improving) answer correctness. Further analysis confirms that FaithRL increases step-wise reasoning faithfulness and generalizes robustly.
Anthology ID:
2026.findings-emnlp.267
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
5603–5630
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.267/
DOI:
Bibkey:
Cite (ACL):
Runquan Gui, Yafu Li, Xiaoye Qu, Ziyan Liu, Yeqiu Chen, and Yu Cheng. 2026. FaithRL: Learning to Reason Faithfully through Step-Level Faithfulness Maximization. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 5603–5630, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
FaithRL: Learning to Reason Faithfully through Step-Level Faithfulness Maximization (Gui et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.267.pdf