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Recent advances in large language models (LLMs) for mathematical reasoning have largely focused on tasks with easily verifiable final answers while generating and verifying natural language math proofs remains an open challenge. We identify…

Computation and Language · Computer Science 2026-03-03 Wenjie Ma , Andrei Cojocaru , Neel Kolhe , Bradley Louie , Robin Said Sharif , Haihan Zhang , Vincent Zhuang , Matei Zaharia , Sewon Min

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…

Artificial Intelligence · Computer Science 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) are often used as automated judges to evaluate text, but their effectiveness can be hindered by various unintentional biases. We propose using linear classifying probes, trained by leveraging differences between…

Computation and Language · Computer Science 2025-03-25 Sharan Maiya , Yinhong Liu , Ramit Debnath , Anna Korhonen

Large Language Models (LLMs) often exhibit limited logical coherence, mapping premises to conclusions without adherence to explicit inference rules. We propose Proof-Carrying Reasoning with LLMs (PCRLLM), a framework that constrains…

Computation and Language · Computer Science 2025-11-12 Tangrui Li , Pei Wang , Hongzheng Wang Christian Hahm , Matteo Spatola , Justin Shi

Large language models (LLMs) often struggle with complex logical reasoning due to logical inconsistencies and the inherent difficulty of such reasoning. We use Lean, a theorem proving framework, to address these challenges. By formalizing…

Computation and Language · Computer Science 2024-03-21 Dongwei Jiang , Marcio Fonseca , Shay B. Cohen

As software projects progress, quality of code assumes paramount importance as it affects reliability, maintainability and security of software. For this reason, static analysis tools are used in developer workflows to flag code quality…

Problem-solving has been a fundamental driver of human progress in numerous domains. With advancements in artificial intelligence, Large Language Models (LLMs) have emerged as powerful tools capable of tackling complex problems across…

Machine Learning · Computer Science 2025-05-07 Da Zheng , Lun Du , Junwei Su , Yuchen Tian , Yuqi Zhu , Jintian Zhang , Lanning Wei , Ningyu Zhang , Huajun Chen

Large-scale pre-trained language models (PLMs) bring new opportunities to challenging problems, especially those that need high-level intelligence, such as the math word problem (MWPs). However, directly applying existing PLMs to MWPs can…

Computation and Language · Computer Science 2024-01-01 Xinyu Zhu , Junjie Wang , Lin Zhang , Yuxiang Zhang , Ruyi Gan , Jiaxing Zhang , Yujiu Yang

Large Language Models (LLMs) have demonstrated strong performance across various natural language processing tasks, yet their proficiency in mathematical reasoning remains a key challenge. Addressing the gap between natural and mathematical…

Artificial Intelligence · Computer Science 2025-02-18 Xuhan Huang , Qingning Shen , Yan Hu , Anningzhe Gao , Benyou Wang

Despite various approaches being employed to detect vulnerabilities, the number of reported vulnerabilities shows an upward trend over the years. This suggests the problems are not caught before the code is released, which could be caused…

Cryptography and Security · Computer Science 2025-02-14 Karl Tamberg , Hayretdin Bahsi

Large language models (LLMs) have demonstrated significant potential in formal theorem proving, yet state-of-the-art performance often necessitates prohibitive test-time compute via massive roll-outs or extended context windows. In this…

Machine Learning · Computer Science 2026-04-22 Guchan Li , Rui Tian , Hongning Wang

Proof assistants like Lean have revolutionized mathematical proof verification, ensuring high accuracy and reliability. Although large language models (LLMs) show promise in mathematical reasoning, their advancement in formal theorem…

Artificial Intelligence · Computer Science 2024-05-24 Huajian Xin , Daya Guo , Zhihong Shao , Zhizhou Ren , Qihao Zhu , Bo Liu , Chong Ruan , Wenda Li , Xiaodan Liang

Despite the strong reasoning ability of large language models~(LLMs), they are prone to errors and hallucinations. As a result, how to check their outputs effectively and efficiently has become a critical problem in their applications.…

Artificial Intelligence · Computer Science 2025-10-29 Jiayu Liu , Wei Dai , Zhenya Huang , Ning Miao , Enhong Chen

Large language models (LLMs) are increasingly used for automated tutoring, but their reliability in structured symbolic domains remains unclear. We study step-level feedback for propositional logic proofs, which require precise symbolic…

While model-based verifiers are essential for scaling Reinforcement Learning with Verifiable Rewards (RLVR), current outcome-centric verification paradigms primarily focus on the consistency between the final result and the ground truth,…

Computation and Language · Computer Science 2026-02-13 Xiangfeng Wang , Hangyu Guo , Yanlin Lai , Mitt Huang , Liang Zhao , Chengyuan Yao , Yinmin Zhang , Qi Han , Xiaoxiao Ren , Chun Yuan , Tong Xu , Zheng Ge , Xiangyu Zhang , Daxin Jiang

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth

Large language models (LLMs) struggle with multi-step reasoning, where inference-time scaling has emerged as a promising strategy for performance improvement. Verifier-guided search outperforms repeated sampling when sample size is limited…

Computation and Language · Computer Science 2025-02-04 Fei Yu , Yingru Li , Benyou Wang

Prior work has combined chain-of-thought prompting in large language models (LLMs) with programmatic representations to perform effective and transparent reasoning. While such an approach works well for tasks that only require forward…

Computation and Language · Computer Science 2023-10-13 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

Large Language Models (LLMs) have recently achieved remarkable progress in mathematical reasoning. To enable such capabilities, many existing works distill strong reasoning models into long chains of thought or design algorithms to…

Computation and Language · Computer Science 2026-03-13 Chengyu Shen , Zhen Hao Wong , Runming He , Hao Liang , Meiyi Qiang , Zimo Meng , Zhengyang Zhao , Bohan Zeng , Zhengzhou Zhu , Bin Cui , Wentao Zhang

Large language models (LLMs) show promise in code translation due to their ability to generate idiomatic code. However, a significant limitation when using LLMs for code translation is scalability: existing works have shown a drop in…

Programming Languages · Computer Science 2024-12-12 Hanliang Zhang , Cristina David , Meng Wang , Brandon Paulsen , Daniel Kroening