@article{npengineempoweringoptimizationreasoningi, title = {NP-Engine: Empowering Optimization Reasoning in Large Language Models with Verifiable Synthetic NP Problems}, author = {Xiaozhe Li and Xinyu Fang and Shengyuan Ding and Linyang Li and Haodong Duan and Qingwen Liu and Kai Chen}, year = {2025}, eprint = {2510.16476}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2510.16476}, }