KG-RLVR: Reinforcing LLM Reasoning with Knowledge Graph-Derived Process Rewards

Aoran Gan, Guoxuan Zhang, Ya Li, Qiangbing Wang, Quan Liu, Qi Liu, Guoping Hu


Abstract
As large language models (LLMs) are increasingly adapted from general-purpose systems into domain-specific problem solvers, a central challenge is how to provide reliable process-level guidance for knowledge-intensive reasoning. High-quality reasoning supervision, such as annotated reasoning trajectories or externally generated rationales, is costly to obtain, difficult to verify, and hard to scale across domains. In this paper, we propose KG-RLVR, a lightweight framework that reframes KG-enhanced LLM post-training as verifiable reward construction from traceable structured evidence. KG-RLVR retrieves evidence from external knowledge graphs, consolidates noisy graph neighborhoods into representative evidence units, and converts these units into locally computable process rewards. The reward encourages the model to cover directly relevant evidence while selectively integrating less direct but potentially useful auxiliary evidence, thereby guiding reasoning traces without requiring externally authored process demonstrations. Experiments on knowledge-intensive medical and multi-domain QA benchmarks show that KG-RLVR consistently improves over vanilla RL, demonstrating that KG-derived process rewards provide practical and scalable supervision for reasoning-oriented LLM post-training.
Anthology ID:
2026.emnlp-main.890
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
20538–20554
Language:
URL:
https://aclanthology.org/2026.emnlp-main.890/
DOI:
Bibkey:
Cite (ACL):
Aoran Gan, Guoxuan Zhang, Ya Li, Qiangbing Wang, Quan Liu, Qi Liu, and Guoping Hu. 2026. KG-RLVR: Reinforcing LLM Reasoning with Knowledge Graph-Derived Process Rewards. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 20538–20554, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
KG-RLVR: Reinforcing LLM Reasoning with Knowledge Graph-Derived Process Rewards (Gan et al., EMNLP 2026)
Copy Citation:
PDF:
https://aclanthology.org/2026.emnlp-main.890.pdf