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The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Large Reasoning Models (LRMs) significantly improve the reasoning ability of Large Language Models (LLMs) by learning to reason, exhibiting promising performance in solving complex tasks. However, their deliberative reasoning process leads…

Large language models (LLMs) have exhibited impressive reasoning abilities on a wide range of complex tasks. However, enhancing these capabilities through post-training remains resource intensive, particularly in terms of data and…

人工智能 · 计算机科学 2025-08-13 Shuo Cai , Su Lu , Qi Zhou , Kejing Yang , Zhijie Sang , Congkai Xie , Hongxia Yang

Recent advancements in reasoning-focused language models such as OpenAI's O1 and DeepSeek-R1 have shown that scaling test-time computation-through chain-of-thought reasoning and iterative exploration-can yield substantial improvements on…

Recent advancements in large language models (LLMs) have demonstrated substantial progress in reasoning capabilities, such as DeepSeek-R1, which leverages rule-based reinforcement learning to enhance logical reasoning significantly.…

First-order logic (FOL) reasoning, which involves sequential deduction, is pivotal for intelligent systems and serves as a valuable task for evaluating reasoning capabilities, particularly in chain-of-thought (CoT) contexts. Existing…

计算与语言 · 计算机科学 2025-03-04 Chengwen Qi , Ren Ma , Bowen Li , He Du , Binyuan Hui , Jinwang Wu , Yuanjun Laili , Conghui He

Inspired by the success of DeepSeek-R1, we explore the potential of rule-based reinforcement learning (RL) in large reasoning models. To analyze reasoning dynamics, we use synthetic logic puzzles as training data due to their controllable…

计算与语言 · 计算机科学 2025-02-21 Tian Xie , Zitian Gao , Qingnan Ren , Haoming Luo , Yuqian Hong , Bryan Dai , Joey Zhou , Kai Qiu , Zhirong Wu , Chong Luo

Large Reasoning Models (LRMs) demonstrate exceptional capability in tackling complex mathematical, logical, and coding tasks by leveraging extended Chain-of-Thought (CoT) reasoning. Test-time scaling methods, such as prolonging CoT with…

机器学习 · 计算机科学 2025-06-03 Weizhe Lin , Xing Li , Zhiyuan Yang , Xiaojin Fu , Hui-Ling Zhen , Yaoyuan Wang , Xianzhi Yu , Wulong Liu , Xiaosong Li , Mingxuan Yuan

Large Language Models (LLMs) have emerged as powerful tools in mathematical theorem proving, particularly when utilizing formal languages such as LEAN. A prevalent proof method involves the LLM prover iteratively constructing the proof…

人工智能 · 计算机科学 2025-10-22 Zijian Wu , Suozhi Huang , Zhejian Zhou , Huaiyuan Ying , Zheng Yuan , Wenwei Zhang , Dahua Lin , Kai Chen

Reasoning is a fundamental substrate for solving novel and complex problems. Deliberate efforts in learning and developing frameworks around System 2 reasoning have made great strides, yet problems of sufficient complexity remain largely…

计算与语言 · 计算机科学 2024-10-18 Matthew Ho , Vincent Zhu , Xiaoyin Chen , Moksh Jain , Nikolay Malkin , Edwin Zhang

Large Language Models (LLMs) have shown impressive reasoning capabilities, yet existing prompting methods face a critical trade-off: simple approaches often struggle with complex tasks and reasoning stability, while more sophisticated…

计算与语言 · 计算机科学 2025-07-11 Guangya Wan , Yuqi Wu , Hao Wang , Shengming Zhao , Jie Chen , Sheng Li

Recent Large Reasoning Models (LRMs), such as DeepSeek-R1 and OpenAI o1, have demonstrated strong performance gains by scaling up the length of Chain-of-Thought (CoT) reasoning during inference. However, a growing concern lies in their…

Recent advances in large language models have demonstrated impressive capabilities in mathematical formalization. However, existing benchmarks focus on logical verification of declarative propositions, often neglecting the task of…

计算机科学中的逻辑 · 计算机科学 2026-02-03 Bowen Yang , Yi Yuan , Chenyi Li , Ziyu Wang , Liangqi Li , Bo Zhang , Zhe Li , Zaiwen Wen

Large Language Models (LLMs) have shown great potential in reasoning tasks through test-time scaling methods like self-consistency with majority voting. However, this approach often leads to diminishing returns in accuracy and high…

机器学习 · 计算机科学 2025-08-22 Yichao Fu , Xuewei Wang , Yuandong Tian , Jiawei Zhao

Recently DeepSeek R1 demonstrated how reinforcement learning with simple rule-based incentives can enable autonomous development of complex reasoning in large language models, characterized by the "aha moment", in which the model manifest…

人工智能 · 计算机科学 2025-03-11 Hengguang Zhou , Xirui Li , Ruochen Wang , Minhao Cheng , Tianyi Zhou , Cho-Jui Hsieh

Assessing the quality of outputs generated by generative models, such as large language models and vision language models, presents notable challenges. Traditional methods for evaluation typically rely on either human assessments, which are…

计算与语言 · 计算机科学 2024-10-10 Yaswanth Narsupalli , Abhranil Chandra , Sreevatsa Muppirala , Manish Gupta , Pawan Goyal

Code reasoning refers to the task of predicting the output of a program given its source code and specific inputs. It can measure the reasoning capability of large language models (LLMs) and also benefit downstream tasks such as code…

机器学习 · 计算机科学 2026-05-19 Zhanyue Qin , Jia Feng , Yibo Lyu , Yun Peng , Dianbo Sui , Cuiyun Gao , Qing Liao

Large Language Models (LLMs) have demonstrated remarkable progress in complex reasoning tasks through both post-training and test-time scaling laws. While prevalent test-time scaling approaches are often realized by using external reward…

机器学习 · 计算机科学 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

The growing disparity between the exponential scaling of computational resources and the finite growth of high-quality text data now constrains conventional scaling approaches for large language models (LLMs). To address this challenge, we…

Enhancing the reasoning capabilities of large language models (LLMs) typically relies on massive computational resources and extensive datasets, limiting accessibility for resource-constrained settings. Our study investigates the potential…

机器学习 · 计算机科学 2026-01-21 Quy-Anh Dang , Chris Ngo