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Large language models (LLMs) have shown promise in proving formal theorems using proof assistants such as Lean. However, existing methods are difficult to reproduce or build on, due to private code, data, and large compute requirements.…

Machine Learning · Computer Science 2023-10-30 Kaiyu Yang , Aidan M. Swope , Alex Gu , Rahul Chalamala , Peiyang Song , Shixing Yu , Saad Godil , Ryan Prenger , Anima Anandkumar

Many applications of large language models (LLMs) require deductive reasoning, yet models frequently produce incorrect or redundant inference steps. We frame natural language inference as a search problem where the final answer is the valid…

Artificial Intelligence · Computer Science 2026-05-26 Andreas Opedal , Francesco Ignazio Re , Abulhair Saparov , Mrinmaya Sachan , Bernhard Schölkopf , Ryan Cotterell

Effective information retrieval requires reasoning over partial evidence and refining strategies as information emerges. Yet current approaches fall short: neural retrievers lack reasoning capabilities, large language models (LLMs) provide…

Artificial Intelligence · Computer Science 2025-11-12 Supriti Vijay , Aman Priyanshu , Anu Vellore , Baturay Saglam , Amin Karbasi

Large Reasoning Models (LRMs) demonstrate remarkable capabilities on complex tasks, exhibiting emergent, human-like thinking patterns. Despite their advances, we identify a fundamental limitation: current LRMs lack a dedicated meta-level…

Artificial Intelligence · Computer Science 2025-08-26 Haonan Dong , Haoran Ye , Wenhao Zhu , Kehan Jiang , Guojie Song

Reward modeling is essential for aligning large language models with human preferences through reinforcement learning. To provide accurate reward signals, a reward model (RM) should stimulate deep thinking and conduct interpretable…

Computation and Language · Computer Science 2026-03-09 Xiusi Chen , Gaotang Li , Ziqi Wang , Bowen Jin , Cheng Qian , Yu Wang , Hongru Wang , Yu Zhang , Denghui Zhang , Tong Zhang , Hanghang Tong , Heng Ji

Large Language Models (LLMs) often struggle with computational efficiency and error propagation in multi-step reasoning tasks. While recent advancements on prompting and post-training have enabled LLMs to perform step-wise reasoning, they…

Artificial Intelligence · Computer Science 2026-05-08 Yuan Sui , Yufei He , Tri Cao , Simeng Han , Yulin Chen , Bryan Hooi

Large Language Models exhibit impressive reasoning capabilities across diverse tasks, motivating efforts to distill these capabilities into smaller models through generated reasoning data. However, direct training on such synthesized…

Computation and Language · Computer Science 2025-02-05 Shengmin Piao , Sanghyun Park

Solving mathematical problems using computer-verifiable languages like Lean has significantly impacted the mathematical and computer science communities. State-of-the-art methods utilize a single Large Language Model (LLM) to generate…

Computation and Language · Computer Science 2025-05-28 Ruida Wang , Rui Pan , Yuxin Li , Jipeng Zhang , Yizhen Jia , Shizhe Diao , Renjie Pi , Junjie Hu , Tong Zhang

Neural theorem proving has advanced rapidly in the past year, reaching IMO gold-medalist capabilities and producing formal proofs that span thousands of lines. Although such proofs are mechanically verified by formal systems like Lean,…

Machine Learning · Computer Science 2025-10-20 Alex Gu , Bartosz Piotrowski , Fabian Gloeckle , Kaiyu Yang , Aram H. Markosyan

Efficiently acquiring external knowledge and up-to-date information is essential for effective reasoning and text generation in large language models (LLMs). Prompting advanced LLMs with reasoning capabilities to use search engines during…

Computation and Language · Computer Science 2025-08-07 Bowen Jin , Hansi Zeng , Zhenrui Yue , Jinsung Yoon , Sercan Arik , Dong Wang , Hamed Zamani , Jiawei Han

Large language models (LLMs) have recently shown strong reasoning abilities in domains like mathematics, coding, and scientific problem-solving, yet their potential for ranking tasks, where prime examples include retrieval, recommender…

Information Retrieval · Computer Science 2025-10-17 Tao Feng , Zhigang Hua , Zijie Lei , Yan Xie , Shuang Yang , Bo Long , Jiaxuan You

Large language models (LLMs) hold transformative potential for medical decision support yet their application in psychiatry remains constrained by hallucinations and superficial reasoning. This limitation is particularly acute in…

Large reasoning models (LRMs) excel on complex problems but face a critical barrier to efficiency: reinforcement learning (RL) training requires long rollouts for outcome-based rewards, where autoregressive decoding dominates time and…

Machine Learning · Computer Science 2026-02-20 Zeliang Zhang , Xiaodong Liu , Hao Cheng , Hao Sun , Chenliang Xu , Jianfeng Gao

Despite the success of large language models (LLMs), the task of theorem proving still remains one of the hardest reasoning tasks that is far from being fully solved. Prior methods using language models have demonstrated promising results,…

While statement autoformalization has advanced rapidly, full-theorem autoformalization remains largely unexplored. Existing iterative refinement methods in statement autoformalization typically improve isolated aspects of formalization,…

Computation and Language · Computer Science 2026-05-08 Lan Zhang , Marco Valentino , André Freitas

Traditional information retrieval (IR) methods excel at textual and semantic matching but struggle in reasoning-intensive retrieval tasks that require multi-hop inference or complex semantic understanding between queries and documents. One…

Information Retrieval · Computer Science 2025-06-17 Xubo Qin , Jun Bai , Jiaqi Li , Zixia Jia , Zilong Zheng

Large Language Models (LLMs) exhibit considerable promise in financial applications; however, prevailing models frequently demonstrate limitations when confronted with scenarios that necessitate sophisticated reasoning capabilities,…

Computation and Language · Computer Science 2025-07-29 Yanjun Zheng , Xiyang Du , Longfei Liao , Xiaoke Zhao , Zhaowen Zhou , Jingze Song , Bo Zhang , Jiawei Liu , Xiang Qi , Zhe Li , Zhiqiang Zhang , Wei Wang , Peng Zhang

Recent advancements, such as DeepSeek-Prover-V2-671B and Kimina-Prover-Preview-72B, demonstrate a prevailing trend in leveraging reinforcement learning (RL)-based large-scale training for automated theorem proving. Surprisingly, we discover…

Artificial Intelligence · Computer Science 2025-06-16 Chenrui Cao , Liangcheng Song , Zenan Li , Xinyi Le , Xian Zhang , Hui Xue , Fan Yang

Reinforcement learning with verifiable rewards (RLVR) has improved the reasoning ability of large language models, yet training remains costly because many rollouts contribute little to optimization, considering the amount of computation…

Machine Learning · Computer Science 2026-02-20 Yan Sun , Jia Guo , Stanley Kok , Zihao Wang , Zujie Wen , Zhiqiang Zhang

In this paper, we survey recent advances in Reinforcement Learning (RL) for reasoning with Large Language Models (LLMs). RL has achieved remarkable success in advancing the frontier of LLM capabilities, particularly in addressing complex…