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Large Language Models (LLMs) have demonstrated remarkable fluency across a range of natural language tasks, yet remain vulnerable to hallucinations - factual inaccuracies that undermine trust in real world deployment. We present…

Computation and Language · Computer Science 2025-07-16 Kaushik Dwivedi , Padmanabh Patanjali Mishra

Hallucination, the generation of factually incorrect content, is a growing challenge in Large Language Models (LLMs). Existing detection and mitigation methods are often isolated and insufficient for domain-specific needs, lacking a…

Computation and Language · Computer Science 2025-01-22 Mengfei Liang , Archish Arun , Zekun Wu , Cristian Munoz , Jonathan Lutch , Emre Kazim , Adriano Koshiyama , Philip Treleaven

Large language models (LLMs) have demonstrated remarkable performance on various natural language processing tasks. However, they are prone to generating fluent yet untruthful responses, known as "hallucinations". Hallucinations can lead to…

Computation and Language · Computer Science 2024-06-18 Minda Hu , Bowei He , Yufei Wang , Liangyou Li , Chen Ma , Irwin King

Large Language Models (LLMs) and Large Reasoning Models (LRMs) offer transformative potential for high-stakes domains like finance and law, but their tendency to hallucinate, generating factually incorrect or unsupported content, poses a…

Artificial Intelligence · Computer Science 2026-01-16 Ahmad Pesaranghader , Erin Li

Large language models (LLMs) have demonstrated strong mathematical reasoning capabilities but remain susceptible to hallucinations producing plausible yet incorrect statements especially in theorem proving, symbolic manipulation, and…

Artificial Intelligence · Computer Science 2025-06-23 MingShan Liu , Jialing Fang

Formal verification via theorem proving enables the expressive specification and rigorous proof of software correctness, but it is difficult to scale due to the significant manual effort and expertise required. While Large Language Models…

Software Engineering · Computer Science 2025-10-30 Minghai Lu , Zhe Zhou , Danning Xie , Songlin Jia , Benjamin Delaware , Tianyi Zhang

Despite the many advances of Large Language Models (LLMs) and their unprecedented rapid evolution, their impact and integration into every facet of our daily lives is limited due to various reasons. One critical factor hindering their…

Computation and Language · Computer Science 2024-08-20 Yakir Yehuda , Itzik Malkiel , Oren Barkan , Jonathan Weill , Royi Ronen , Noam Koenigstein

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) have demonstrated remarkable performance across a wide array of NLP tasks. However, their efficacy is undermined by undesired and inconsistent behaviors, including hallucination, unfaithful reasoning, and toxic…

Computation and Language · Computer Science 2023-08-31 Liangming Pan , Michael Saxon , Wenda Xu , Deepak Nathani , Xinyi Wang , William Yang Wang

Large language models (LLMs) often generate hallucinated content that lacks factual or contextual grounding, limiting their reliability in critical applications. Existing approaches such as supervised fine-tuning and reinforcement learning…

Computation and Language · Computer Science 2025-12-23 Jensen Zhang , Ningyuan Liu , Yijia Fan , Zihao Huang , Qinglin Zeng , Kaitong Cai , Jian Wang , Keze Wang

Recent advancements in large language models (LLMs) have shown strong performance in natural language understanding and generation tasks. However, LLMs continue to encounter challenges with hallucinations, where models generate plausible…

Computation and Language · Computer Science 2025-10-15 Jung-Woo Shim , Yeong-Joon Ju , Ji-Hoon Park , Seong-Whan Lee

Large Language Models (LLMs) have demonstrated exceptional capabilities across various machine learning (ML) tasks. Given the high costs of creating annotated datasets for supervised learning, LLMs offer a valuable alternative by enabling…

Computation and Language · Computer Science 2024-08-23 Meiyun Wang , Masahiro Suzuki , Hiroki Sakaji , Kiyoshi Izumi

Large Language Models (LLMs) have shown remarkable capabilities in tool calling and tool usage, but suffer from hallucinations where they choose incorrect tools, provide malformed parameters and exhibit 'tool bypass' behavior by performing…

Artificial Intelligence · Computer Science 2026-01-09 Kait Healy , Bharathi Srinivasan , Visakh Madathil , Jing Wu

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

Large language models (LLMs) exhibit excellent performance in natural language processing (NLP), but remain highly sensitive to the quality of input queries, especially when these queries contain misleading or inaccurate information.…

Computation and Language · Computer Science 2025-06-02 Guocong Li , Weize Liu , Yihang Wu , Ping Wang , Shuaihan Huang , Hongxia Xu , Jian Wu

Recent advancements in large language models (LLMs) highlight their fluency in generating responses to diverse prompts. However, these models sometimes generate plausible yet incorrect ``hallucinated" facts, undermining trust. A frequent…

Computation and Language · Computer Science 2025-10-15 Jung-Woo Shim , Yeong-Joon Ju , Ji-Hoon Park , Seong-Whan Lee

Large Language Models (LLMs) demonstrate impressive mathematical reasoning abilities, but their solutions frequently contain errors that cannot be automatically checked. Formal theorem proving systems such as Lean 4 offer automated…

Artificial Intelligence · Computer Science 2026-03-18 Sumanth Varambally , Thomas Voice , Yanchao Sun , Zhifeng Chen , Rose Yu , Ke Ye

Formal theorem provers based on large language models (LLMs) are highly sensitive to superficial variations in problem representation: semantically equivalent statements can exhibit drastically different proof success rates, revealing a…

Large Language Models (LLMs) have made remarkable progress in mathematical reasoning, but still continue to struggle with high-precision tasks like numerical computation and formal symbolic manipulation. Integrating external tools has…

Artificial Intelligence · Computer Science 2026-02-11 Qikai Chang , Zhenrong Zhang , Pengfei Hu , Jun Du , Jiefeng Ma , Yicheng Pan , Jianshu Zhang , Quan Liu , Jianqing Gao

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