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Theorem proving is a fundamental aspect of mathematics, spanning from informal reasoning in natural language to rigorous derivations in formal systems. In recent years, the advancement of deep learning, especially the emergence of large…

人工智能 · 计算机科学 2024-08-23 Zhaoyu Li , Jialiang Sun , Logan Murphy , Qidong Su , Zenan Li , Xian Zhang , Kaiyu Yang , Xujie Si

The profusion of knowledge encoded in large language models (LLMs) and their ability to apply this knowledge zero-shot in a range of settings makes them promising candidates for use in decision-making. However, they are currently limited by…

计算与语言 · 计算机科学 2026-05-08 Gabriel Freedman , Adam Dejl , Deniz Gorur , Xiang Yin , Antonio Rago , Francesca Toni

Large language models (LLMs) struggle with formal domains that require rigorous logical deduction and symbolic reasoning, such as mathematical proof generation. We propose a neuro-symbolic approach that combines LLMs' generative strengths…

人工智能 · 计算机科学 2026-05-26 Oren Sultan , Eitan Stern , Dafna Shahaf

Large language models (LLMs) have recently shown strong performance on Theory of Mind (ToM) tests, prompting debate about the nature and true performance of the underlying capabilities. At the same time, reasoning-oriented LLMs trained via…

人工智能 · 计算机科学 2026-01-26 Ian B. de Haan , Peter van der Putten , Max van Duijn

Large language models have demonstrated impressive performance across many domains of mathematics and physics. One natural question is whether such models can support research in highly abstract theoretical fields such as quantum field…

计算物理 · 物理学 2026-04-17 Xingyang Yu , Yinghuan Zhang , Yufei Zhang , Zijun Cui

Medical large language models (LLMs) research often makes bold claims, from encoding clinical knowledge to reasoning like a physician. These claims are usually backed by evaluation on competitive benchmarks; a tradition inherited from…

Ensuring factual consistency between the summary and the original document is paramount in summarization tasks. Consequently, considerable effort has been dedicated to detecting inconsistencies. With the advent of Large Language Models…

计算与语言 · 计算机科学 2024-03-13 Jiuding Yang , Hui Liu , Weidong Guo , Zhuwei Rao , Yu Xu , Di Niu

Large Language Models (LLMs) have revolutionised natural language processing, exhibiting impressive human-like capabilities. In particular, LLMs are capable of "lying", knowingly outputting false statements. Hence, it is of interest and…

计算与语言 · 计算机科学 2024-10-22 Lennart Bürger , Fred A. Hamprecht , Boaz Nadler

Accurately gauging the confidence level of Large Language Models' (LLMs) predictions is pivotal for their reliable application. However, LLMs are often uncalibrated inherently and elude conventional calibration techniques due to their…

This study delves into the capabilities and limitations of Large Language Models (LLMs) in the challenging domain of conditional question-answering. Utilizing the Conditional Question Answering (CQA) dataset and focusing on generative…

计算与语言 · 计算机科学 2023-12-05 Syed-Amad Hussain , Parag Pravin Dakle , SaiKrishna Rallabandi , Preethi Raghavan

Recent advances in automated theorem proving use Large Language Models (LLMs) to translate informal mathematical statements into formal proofs. However, informal cues are often ambiguous or lack strict logical structure, making it hard for…

机器学习 · 计算机科学 2025-10-14 Shashank Kirtania , Arun Iyer

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…

计算与语言 · 计算机科学 2025-11-12 Tangrui Li , Pei Wang , Hongzheng Wang Christian Hahm , Matteo Spatola , Justin Shi

When performing complex multi-step reasoning tasks, the ability of Large Language Models (LLMs) to derive structured intermediate proof steps is important for ensuring that the models truly perform the desired reasoning and for improving…

计算与语言 · 计算机科学 2025-01-31 Zi'ou Zheng , Christopher Malon , Martin Renqiang Min , Xiaodan Zhu

Prompt sensitivity, referring to the phenomenon where paraphrasing (i.e., repeating something written or spoken using different words) leads to significant changes in large language model (LLM) performance, has been widely accepted as a…

计算与语言 · 计算机科学 2025-09-03 Andong Hua , Kenan Tang , Chenhe Gu , Jindong Gu , Eric Wong , Yao Qin

Recent advances have shown that scaling test-time computation enables large language models (LLMs) to solve increasingly complex problems across diverse domains. One effective paradigm for test-time scaling (TTS) involves LLM generators…

计算与语言 · 计算机科学 2026-04-15 Yefan Zhou , Austin Xu , Yilun Zhou , Janvijay Singh , Jiang Gui , Shafiq Joty

In the field of large language model (LLM)-based proof generation, despite extensive training on large datasets such as ArXiv, LLMs still exhibit only modest performance on proving tasks of moderate difficulty. We believe that this is…

Large language models (LLMs) are increasingly used for tasks that implicitly reduce to Boolean satisfiability (SAT), yet their reasoning ability on SAT remains unclear. We present a systematic study of LLMs on 2-SAT and 3-SAT, together with…

人工智能 · 计算机科学 2026-05-28 Leizhen Zhang , Shuhan Chen , Sheng Chen

Large Language Models (LLMs) have made significant advances in natural language processing, but their underlying mechanisms are often misunderstood. Despite exhibiting coherent answers and apparent reasoning behaviors, LLMs rely on…

计算与语言 · 计算机科学 2024-08-05 Bo Zhou , Daniel Geißler , Paul Lukowicz

Large Language Models (LLMs) are increasingly being used in education, yet their correctness alone does not capture the quality, reliability, or pedagogical validity of their problem-solving behavior, especially in mathematics, where…

计算机与社会 · 计算机科学 2025-10-22 Sagnik Dakshit , Sushmita Sinha Roy

While large pretrained language models (PLMs) demonstrate incredible fluency and performance on many natural language tasks, recent work has shown that well-performing PLMs are very sensitive to what prompts are feed into them. Even when…

计算与语言 · 计算机科学 2023-04-13 Harsh Raj , Domenic Rosati , Subhabrata Majumdar