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Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

人工智能 · 计算机科学 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

Large language models (LLMs) have demonstrated remarkable progress in code generation, but many existing benchmarks are approaching saturation and offer little guarantee on the trustworthiness of the generated programs. To improve…

软件工程 · 计算机科学 2025-10-08 Xun Deng , Sicheng Zhong , Barış Bayazıt , Andreas Veneris , Fan Long , Xujie Si

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

计算与语言 · 计算机科学 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

Advances in training, post-training, and inference-time methods have enabled frontier reasoning models to win gold medals in math competitions and settle challenging open problems. Gaining trust in the responses of these models requires…

机器学习 · 计算机科学 2026-04-06 Aaditya Naik , Guruprerana Shabadi , Rajeev Alur , Mayur Naik

Theorem proving in natural mathematical language - the mixture of symbolic and natural language used by humans - plays a central role in mathematical advances and education, and tests aspects of reasoning that are core to intelligence. Yet…

计算与语言 · 计算机科学 2022-11-02 Sean Welleck , Jiacheng Liu , Ximing Lu , Hannaneh Hajishirzi , Yejin Choi

With the rapid advancement of Artificial Intelligence (AI), Large Language Models (LLMs) have significantly impacted a wide array of domains, including healthcare, engineering, science, education, and mathematical reasoning. Among these,…

机器学习 · 计算机科学 2025-05-20 Afrar Jahin , Arif Hassan Zidan , Wei Zhang , Yu Bao , Tianming Liu

Large language models (LLMs) have shown increasing competence in solving mathematical reasoning problems. However, many open-source LLMs still struggle with errors in calculation and semantic understanding during intermediate reasoning…

计算与语言 · 计算机科学 2024-12-18 Vernon Y. H. Toh , Deepanway Ghosal , Soujanya Poria

As Large Language Model (LLM) alignment evolves from simple completions to complex, highly sophisticated generation, Reward Models are increasingly shifting toward rubric-guided evaluation to mitigate surface-level biases. However, the…

人工智能 · 计算机科学 2026-03-04 Qiyuan Zhang , Junyi Zhou , Yufei Wang , Fuyuan Lyu , Yidong Ming , Can Xu , Qingfeng Sun , Kai Zheng , Peng Kang , Xue Liu , Chen Ma

In recent months, large language models (LLMs) have made significant progress in mathematical proof generation, but further advancement is hindered by the lack of a large-scale, high-quality dataset of human-evaluated proofs. While…

Large Language Models (LLMs) have demonstrated significant potential in generating mathematical proofs. However, a persistent challenge is that LLMs occasionally make mistakes, while even a minor mistake can invalidate an entire proof.…

计算机科学中的逻辑 · 计算机科学 2025-03-10 David Yin , Jing Gao

The rapid rise in AI conference submissions has driven increasing exploration of large language models (LLMs) for peer review support. However, LLM-based reviewers often generate superficial, formulaic comments lacking substantive,…

计算与语言 · 计算机科学 2026-04-17 Zhuofeng Li , Yi Lu , Dongfu Jiang , Haoxiang Zhang , Yuyang Bai , Chuan Li , Yu Wang , Shuiwang Ji , Jianwen Xie , Yu Zhang

We introduce DeepSeek-Prover-V2, an open-source large language model designed for formal theorem proving in Lean 4, with initialization data collected through a recursive theorem proving pipeline powered by DeepSeek-V3. The cold-start…

Large Language Models (LLMs) have shown impressive capability in language generation and understanding, but their tendency to hallucinate and produce factually incorrect information remains a key limitation. To verify LLM-generated contents…

计算与语言 · 计算机科学 2025-06-03 Kushan Mitra , Dan Zhang , Sajjadur Rahman , Estevam Hruschka

As language models regularly make mistakes when solving math problems, automated identification of errors in the reasoning process becomes increasingly significant for their scalable oversight. In this paper, we introduce ProcessBench for…

人工智能 · 计算机科学 2025-05-27 Chujie Zheng , Zhenru Zhang , Beichen Zhang , Runji Lin , Keming Lu , Bowen Yu , Dayiheng Liu , Jingren Zhou , Junyang Lin

Mathematical reasoning remains a significant challenge for Large Language Models (LLMs) due to hallucinations. When combined with formal proof assistants like Lean, these hallucinations can be eliminated through rigorous verification,…

人工智能 · 计算机科学 2026-01-21 Robert Joseph George , Suozhi Huang , Peiyang Song , Anima Anandkumar

To advance the evaluation of multimodal math reasoning in large multimodal models (LMMs), this paper introduces a novel benchmark, MM-MATH. MM-MATH consists of 5,929 open-ended middle school math problems with visual contexts, with…

计算与语言 · 计算机科学 2024-07-03 Kai Sun , Yushi Bai , Ji Qi , Lei Hou , Juanzi Li

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

计算与语言 · 计算机科学 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

Although demonstrating remarkable performance on reasoning tasks, Large Language Models (LLMs) still tend to fabricate unreliable responses when confronted with problems that are unsolvable or beyond their capability, severely undermining…

计算与语言 · 计算机科学 2025-11-13 Boyang Xue , Qi Zhu , Rui Wang , Sheng Wang , Hongru Wang , Minda Hu , Fei Mi , Yasheng Wang , Lifeng Shang , Qun Liu , Kam-Fai Wong