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Informal mathematics has been central to modern large language model (LLM) reasoning, offering flexibility and enabling efficient construction of arguments. However, purely informal reasoning is prone to logical gaps and subtle errors that…

Artificial Intelligence · Computer Science 2025-11-25 Azim Ospanov , Zijin Feng , Jiacheng Sun , Haoli Bai , Xin Shen , Farzan Farnia

Formal verification via interactive theorem proving is increasingly used to ensure the correctness of critical systems, yet constructing large proof scripts remains highly manual and limits scalability. Advances in large language models…

Artificial Intelligence · Computer Science 2026-05-08 Baoding He , Zenan Li , Wei Sun , Yuan Yao , Taolue Chen , Xiaoxing Ma , Zhendong Su

Large language models for code are advancing fast, yet our ability to evaluate them lags behind. Current benchmarks focus on narrow tasks and single metrics, which hide critical gaps in robustness, interpretability, fairness, efficiency,…

Large Language Models (LLMs) are increasingly described as possessing strong reasoning capabilities, supported by high performance on mathematical, logical, and planning benchmarks. However, most existing evaluations rely on aggregate…

Computation and Language · Computer Science 2026-04-16 Md. Fahad Ullah Utsho , Mohd. Ruhul Ameen , Akif Islam , Md. Golam Rashed , Dipankar Das

Abstract reasoning ability reflects the intelligence and generalization capacity of LLMs to extract and apply abstract rules. However, accurately measuring this ability remains challenging: existing benchmarks either rely on expensive…

Artificial Intelligence · Computer Science 2026-05-19 Qingchuan Ma , Yuexiao Ma , Yongkang Xie , Tianyu Xie , Xiawu Zheng , Rongrong Ji

Large language models (LLMs) are increasingly used to generate requirements specifications, design documents, code, and test cases. In contrast, much less attention has been given to a more difficult assurance problem: statically verifying…

Software Engineering · Computer Science 2026-05-19 Zhi Quan Zhou , Dave Towey , Tsong Yueh Chen

Rule-based reasoning over natural language input arises in domains where decisions must be auditable and justifiable: clinical protocols specify eligibility criteria in prose, evidence rules define admissibility through textual conditions,…

Artificial Intelligence · Computer Science 2026-01-06 Albert Sadowski , Jarosław A. Chudziak

Despite impressive advances in large language models (LLMs), existing benchmarks often focus on single-turn or single-step tasks, failing to capture the kind of iterative reasoning required in real-world settings. To address this…

Computation and Language · Computer Science 2025-11-26 Yiran Zhang , Mo Wang , Xiaoyang Li , Kaixuan Ren , Chencheng Zhu , Usman Naseem

Task automation has been greatly empowered by the recent advances in Large Language Models (LLMs) via Python code, where the tasks ranging from software engineering development to general-purpose reasoning. While current benchmarks have…

Large Language Models (LLMs) show remarkable capabilities, yet their stochastic next-token prediction creates logical inconsistencies and reward hacking that formal symbolic systems avoid. To bridge this gap, we introduce a formal logic…

Machine Learning · Computer Science 2026-02-02 Chuxue Cao , Jinluan Yang , Haoran Li , Kunhao Pan , Zijian Zhao , Zhengyu Chen , Yuchen Tian , Lijun Wu , Conghui He , Sirui Han , Yike Guo

Large Language Models (LLMs) show promise in automated software engineering, yet their guarantee of correctness is frequently undermined by erroneous or hallucinated code. To enforce model honesty, formal verification requires LLMs to…

Software Engineering · Computer Science 2026-04-27 Md Erfan , Md Kamal Hossain Chowdhury , Ahmed Ryan , Md Rayhanur Rahman

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

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

Rigorous software testing is crucial for developing and maintaining high-quality code, making automated test generation a promising avenue for both improving software quality and boosting the effectiveness of code generation methods.…

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As large language models (LLMs) become increasingly capable and widely adopted, benchmarks play a central role in assessing their practical utility. For example, SWE-Bench Verified has emerged as a critical benchmark for evaluating LLMs'…

Artificial Intelligence · Computer Science 2025-12-02 Shanchao Liang , Spandan Garg , Roshanak Zilouchian Moghaddam

Current mathematical reasoning benchmarks for large language models (LLMs) are approaching saturation, with some achieving > 90% accuracy, and are increasingly compromised by training-set contamination. We introduce Putnam-AXIOM, a…

Computation and Language · Computer Science 2025-08-28 Aryan Gulati , Brando Miranda , Eric Chen , Emily Xia , Kai Fronsdal , Bruno Dumont , Elyas Obbad , Sanmi Koyejo

Benchmarks for large language models (LLMs) have predominantly assessed short-horizon, localized reasoning. Existing long-horizon suites (e.g. SWE-bench) rely on manually curated issues, so expanding or tuning difficulty demands expensive…

Machine Learning · Computer Science 2025-06-03 Kaivalya Hariharan , Uzay Girit , Atticus Wang , Jacob Andreas

Automated theorem proving is essential for the formal verification of safety-critical systems. As the corpus of formal proofs grows, a natural paradigm is to learn from existing proofs. However, current learning-based approaches…

Software Engineering · Computer Science 2026-05-12 Jian Fang , Yixun Yao , Yingfei Xiong

Large Language Models (LLMs) are increasingly deployed as scientific AI as- sistants, and a growing body of benchmarks evaluates their capabilities across knowledge retrieval, reasoning, code generation, and tool use. These evaluations,…

Large language models (LLMs) have shown strong performance on mathematical reasoning under well-defined conditions. However, real-world engineering problems involve uncertainty, context, and open-ended settings that extend beyond symbolic…

Artificial Intelligence · Computer Science 2026-05-05 Xiyuan Zhou , Xinlei Wang , Yirui He , Yang Wu , Ruixi Zou , Yuheng Cheng , Yulu Xie , Wenxuan Liu , Huan Zhao , Yan Xu , Jinjin Gu , Junhua Zhao