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Mathematical theorem proving is an important testbed for large language models' deep and abstract reasoning capability. This paper focuses on improving LLMs' ability to write proofs in formal languages that permit automated proof…

Machine Learning · Computer Science 2024-11-05 Kefan Dong , Arvind Mahankali , Tengyu Ma

Large language models (LLMs) have shown impressive capabilities across a wide range of language tasks. However, their reasoning process is primarily guided by statistical patterns in training data, which limits their ability to handle novel…

Artificial Intelligence · Computer Science 2025-08-21 Hong Su

Recent studies have demonstrated that test-time compute scaling effectively improves the performance of small language models (sLMs). However, prior research has mainly examined test-time compute scaling with an additional larger model as a…

Computation and Language · Computer Science 2025-04-08 Minki Kang , Jongwon Jeong , Jaewoong Cho

Large language models (LLMs) often produce confident yet incorrect answers, which can lead to risky failures in real-world applications. We study whether post-training can make a model's self-assessment explicit: when the model is…

Machine Learning · Computer Science 2026-05-15 Junyu Guo , Shangding Gu , Ming Jin , Costas Spanos , Javad Lavaei

While Large Language Models (LLMs) have shown exceptional performance in various tasks, one of their most prominent drawbacks is generating inaccurate or false information with a confident tone. In this paper, we provide evidence that the…

Computation and Language · Computer Science 2023-10-18 Amos Azaria , Tom Mitchell

Although large language models (LLMs) have been touted for their ability to generate natural-sounding text, there are growing concerns around possible negative effects of LLMs such as data memorization, bias, and inappropriate language.…

Machine Learning · Computer Science 2023-05-10 Michael Kuchnik , Virginia Smith , George Amvrosiadis

Multiple Choice Question (MCQ) tests are among the most used methods for evaluating large language models (LLMs). Besides checking the correctness of the selected answer, evaluations often consider the model's confidence through the…

Computation and Language · Computer Science 2026-05-05 Tairan Fu , Javier Conde , Gonzalo Martínez , María Grandury , Pedro Reviriego

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…

Computation and Language · Computer Science 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

As large language models (LLMs) are increasingly applied to scientific reasoning, the complexity of answer formats and the diversity of equivalent expressions make answer verification a critical yet challenging task. Existing verification…

Artificial Intelligence · Computer Science 2025-09-30 Shenghe Zheng , Chenyu Huang , Fangchen Yu , Junchi Yao , Jingqi Ye , Tao Chen , Yun Luo , Ning Ding , LEI BAI , Ganqu Cui , Peng Ye

Current techniques for post-training Large Language Models (LLMs) rely either on costly human supervision or on external verifiers to boost performance on tasks such as mathematical reasoning and code generation. However, as LLMs improve…

Computation and Language · Computer Science 2026-01-21 Mukesh Ghimire , Aosong Feng , Liwen You , Youzhi Luo , Fang Liu , Xuan Zhu

Reward models (RMs) play a critical role in enhancing the reasoning performance of LLMs. For example, they can provide training signals to finetune LLMs during reinforcement learning (RL) and help select the best answer from multiple…

Computation and Language · Computer Science 2025-10-06 Qiyuan Liu , Hao Xu , Xuhong Chen , Wei Chen , Yee Whye Teh , Ning Miao

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…

Reinforcement learning with verifiable rewards (RLVR) has demonstrated promising potential to enhance the reasoning capabilities of large language models (LLMs) in domains such as mathematics and coding. However, its applications on…

Computation and Language · Computer Science 2026-05-19 Zhonghang Yuan , Zhefan Wang , Fang Hu , Zihong Chen , Jinzhe Li , Gang Li , Jie Ying , Huanjun Kong , Songyang Zhang , Nanqing Dong

Reinforcement Learning with Verifiable Rewards (RLVR)-based post-training of Large Language Models (LLMs) has been shown to improve accuracy on reasoning tasks and continues to attract significant attention. Existing RLVR methods, however,…

Artificial Intelligence · Computer Science 2025-10-22 Soumya Rani Samineni , Durgesh Kalwar , Vardaan Gangal , Siddhant Bhambri , Subbarao Kambhampati

Large Language Models (LLMs) have demonstrated exceptional capabilities, yet selecting the most reliable response from multiple LLMs remains a challenge, particularly in resource-constrained settings. Existing approaches often depend on…

Computation and Language · Computer Science 2025-10-06 Aakriti Agrawal , Rohith Aralikatti , Anirudh Satheesh , Souradip Chakraborty , Amrit Singh Bedi , Furong Huang

Large language models (LLMs) have shown significant progress in reasoning tasks. However, recent studies show that transformers and LLMs fail catastrophically once reasoning problems exceed modest complexity. We revisit these findings…

Artificial Intelligence · Computer Science 2025-10-28 Revanth Rameshkumar , Jimson Huang , Yunxin Sun , Fei Xia , Abulhair Saparov

There have been wide spread claims in the literature about the emergent reasoning capabilities of Pretrained Large Language Models. However, recent studies, have found that their ability to plan remains questionable. Through our experiments…

Computation and Language · Computer Science 2023-05-29 Daman Arora , Subbarao Kambhampati

The development of highly fluent large language models (LLMs) has prompted increased interest in assessing their reasoning and problem-solving capabilities. We investigate whether several LLMs can solve a classic type of deductive reasoning…

Computation and Language · Computer Science 2024-04-16 Spencer M. Seals , Valerie L. Shalin

Multimodal Large Language Models (MLLMs) already achieve state-of-the-art results across a wide range of tasks and modalities. To push their reasoning ability further, recent studies explore advanced prompting schemes and post-training…

Artificial Intelligence · Computer Science 2025-09-09 Zhenyu Pan , Yutong Zhang , Jianshu Zhang , Haoran Lu , Haozheng Luo , Yuwei Han , Philip S. Yu , Manling Li , Han Liu

Inference time techniques such as decoding time scaling and self refinement have been shown to substantially improve mathematical reasoning in large language models (LLMs), largely attributed to emergent self correction and self…

Machine Learning · Computer Science 2026-01-07 Mingyuan Wu , Meitang Li , Jingcheng Yang , Jize Jiang , Kaizhuo Yan , Zhaoheng Li , Hanchao Yu , Minjia Zhang , Klara Nahrstedt
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