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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…

Logic in Computer Science · Computer Science 2026-02-03 Bowen Yang , Yi Yuan , Chenyi Li , Ziyu Wang , Liangqi Li , Bo Zhang , Zhe Li , Zaiwen Wen

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,…

Artificial Intelligence · Computer Science 2026-01-21 Robert Joseph George , Suozhi Huang , Peiyang Song , Anima Anandkumar

Automated theorem proving with large language models in Lean 4 is commonly approached through either step-level tactic prediction with tree search or whole-proof generation. These two paradigms represent opposite granularities for…

Artificial Intelligence · Computer Science 2026-05-13 Shuo Xu , Jiakun Zhang , Junyu Lai , Chun Cao , Jingwei Xu

General-purpose Large Language Models (LLMs) have achieved remarkable success in intelligence, performing comparably to human experts on complex reasoning tasks such as coding and mathematical reasoning. However, generating formal proofs in…

With the emergence of Large Language Models (LLMs), there has been a significant improvement in the programming capabilities of models, attracting growing attention from researchers. Evaluating the programming capabilities of LLMs is…

Understanding how and why large language models (LLMs) fail is becoming a central challenge as models rapidly evolve and static evaluations fall behind. While automated probing has been enabled by dynamic test generation, existing…

Computation and Language · Computer Science 2026-02-16 Yue Huang , Zhengzhe Jiang , Yuchen Ma , Yu Jiang , Xiangqi Wang , Yujun Zhou , Yuexing Hao , Kehan Guo , Pin-Yu Chen , Stefan Feuerriegel , Xiangliang Zhang

Large Language Models (LLMs) are increasingly applied to automated software testing, yet their ability to generalize beyond memorized patterns and reason about natural language bug reports remains unclear. We present a systematic evaluation…

Software Engineering · Computer Science 2025-10-08 Irtaza Sajid Qureshi , Zhen Ming , Jiang

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…

Machine Learning · Computer Science 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

Large language models (LLMs) have shown promise in formal theorem proving, but their token-level processing often fails to capture the inherent hierarchical nature of mathematical proofs. We introduce \textbf{Hierarchical Attention}, a…

Machine Learning · Computer Science 2025-04-29 Jianlong Chen , Chao Li , Yang Yuan , Andrew C Yao

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…

Software Engineering · Computer Science 2025-10-08 Xun Deng , Sicheng Zhong , Barış Bayazıt , Andreas Veneris , Fan Long , Xujie Si

Logical reasoning is a pivotal component in the field of artificial intelligence. Proof planning, particularly in contexts requiring the validation of explanation accuracy, continues to present challenges. The recent advancement of large…

Computation and Language · Computer Science 2025-10-31 Ying Su , Mingwen Liu , Zhijiang Guo

The evaluation and post-training of large language models (LLMs) rely on supervision, but strong supervision for difficult tasks is often unavailable, especially when evaluating frontier models. In such cases, models are demonstrated to…

Machine Learning · Computer Science 2026-01-29 Tianyi Alex Qiu , Micah Carroll , Cameron Allen

Large Language Model (LLM) reasoning for complex tasks inherently involves a trade-off between solution accuracy and computational efficiency. The subsequent step of verification, while intended to improve performance, further complicates…

Artificial Intelligence · Computer Science 2025-05-20 Jianyuan Zhong , Zeju Li , Zhijian Xu , Xiangyu Wen , Kezhi Li , Qiang Xu

Large Language Models (LLMs) demonstrate strong capabilities in general coding tasks but encounter two key challenges when optimizing code: (i) the complexity of writing optimized code (such as performant CUDA kernels and competition-level…

Machine Learning · Computer Science 2026-01-12 Jiefu Ou , Sapana Chaudhary , Kaj Bostrom , Nathaniel Weir , Shuai Zhang , Huzefa Rangwala , George Karypis

Qualitative coding, or content analysis, extracts meaning from text to discern quantitative patterns across a corpus of texts. Recently, advances in the interpretive abilities of large language models (LLMs) offer potential for automating…

Computation and Language · Computer Science 2024-02-14 Zackary Okun Dunivin

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

Generating step-by-step "how-to" procedures is a key LLM capability: how-to advice is commonly requested in chatbots, and step-by-step planning is critical for reasoning over complex tasks. Yet, measuring and improving procedural validity…

Machine Learning · Computer Science 2026-02-10 Yapei Chang , Kyle Lo , Mohit Iyyer , Luca Soldaini

While Large Language Models (LLMs) excel at code generation by learning from vast code corpora, a fundamental semantic gap remains between their training on textual patterns and the goal of functional correctness, which is governed by…

Software Engineering · Computer Science 2026-04-23 Xue Jiang , Yihong Dong , Mengyang Liu , Hongyi Deng , Tian Wang , Yongding Tao , Rongyu Cao , Binhua Li , Zhi Jin , Wenpin Jiao , Fei Huang , Yongbin Li , Ge Li

Large language models (LLMs) face significant token efficiency bottlenecks in code generation and logical reasoning tasks, a challenge that directly impacts inference cost and model interpretability. This paper proposes a formal framework…

Artificial Intelligence · Computer Science 2025-02-03 Lumen AI , Tengzhou No. 1 Middle School , Shihao Ji , Zihui Song , Fucheng Zhong , Jisen Jia , Zhaobo Wu , Zheyi Cao , Tianhao Xu

Large Language Models (LLMs) have advanced Automated Heuristic Design (AHD) in combinatorial optimization (CO) in the past few years. However, existing discovery pipelines often require extensive manual trial-and-error or reliance on domain…

Neural and Evolutionary Computing · Computer Science 2026-02-19 Mingxin Yu , Ruixiao Yang , Chuchu Fan