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Mathematical reasoning remains one of the most challenging domains for large language models (LLMs), requiring not only linguistic understanding but also structured logical deduction and numerical precision. While recent LLMs demonstrate…

Large Language Models (LLMs) achieve impressive performance in a wide range of tasks, even if they are often trained with the only objective of chatting fluently with users. Among other skills, LLMs show emergent abilities in mathematical…

计算与语言 · 计算机科学 2024-06-12 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

The evaluation of mathematical reasoning capabilities is essential for advancing Artificial General Intelligence (AGI). While Large Language Models (LLMs) have shown impressive performance in solving mathematical problems, existing…

计算与语言 · 计算机科学 2025-01-15 Bo Yang , Qingping Yang , Yingwei Ma , Runtao Liu

Although state-of-the-art LLMs can solve math problems, we find that they make errors on numerical comparisons with mixed notation: "Which is larger, $5.7 \times 10^2$ or $580$?" This raises a fundamental question: Do LLMs even know how big…

计算与语言 · 计算机科学 2026-02-18 Fengting Yuchi , Li Du , Jason Eisner

This paper investigates the rational thinking capability of Large Language Models (LLMs) in multi-round argumentative debates by exploring the impact of fallacious arguments on their logical reasoning performance. More specifically, we…

计算与语言 · 计算机科学 2025-01-03 Amirreza Payandeh , Dan Pluth , Jordan Hosier , Xuesu Xiao , Vijay K. Gurbani

Large Language Models (LLMs) have recently demonstrated strong emergent abilities in complex reasoning and zero-shot generalization, showing unprecedented potential for LLM-as-a-judge applications in education, peer review, and data quality…

密码学与安全 · 计算机科学 2025-08-20 Xuyang Guo , Zekai Huang , Zhao Song , Jiahao Zhang

The mathematical capabilities of AI systems are complex and multifaceted. Most existing research has predominantly focused on the correctness of AI-generated solutions to mathematical problems. In this work, we argue that beyond producing…

计算与语言 · 计算机科学 2024-10-25 Junyi Ye , Jingyi Gu , Xinyun Zhao , Wenpeng Yin , Guiling Wang

Prompting techniques have significantly enhanced the capabilities of Large Language Models (LLMs) across various complex tasks, including reasoning, planning, and solving math word problems. However, most research has predominantly focused…

计算与语言 · 计算机科学 2024-05-24 Neisarg Dave , Daniel Kifer , C. Lee Giles , Ankur Mali

Large language models (LLMs) have demonstrated impressive reasoning capabilities, yet there is ongoing debate about these abilities and the potential data contamination problem recently. This paper aims to evaluate the reasoning capacities…

计算与语言 · 计算机科学 2024-06-05 Yiming Huang , Zhenghao Lin , Xiao Liu , Yeyun Gong , Shuai Lu , Fangyu Lei , Yaobo Liang , Yelong Shen , Chen Lin , Nan Duan , Weizhu Chen

Large language models (LLMs) excel at solving problems with clear and complete statements, but often struggle with nuanced environments or interactive tasks which are common in most real-world scenarios. This highlights the critical need…

While state-of-the-art large language models (LLMs) demonstrate advanced reasoning capabilities-achieving remarkable performance on challenging competitive math and coding benchmarks-they also frequently fail on tasks that are easy for…

计算与语言 · 计算机科学 2025-07-11 Alan Malek , Jiawei Ge , Nevena Lazic , Chi Jin , András György , Csaba Szepesvári

Mathematical reasoning in Large Language Models (LLMs) is often evaluated using benchmarks with limited numerical ranges, failing to reflect real-world problem-solving across diverse scales. Furthermore, most existing evaluation methods…

机器学习 · 计算机科学 2025-02-14 Safal Shrestha , Minwu Kim , Keith Ross

Large Language Models (LLMs) have achieved human-level proficiency across diverse tasks, but their ability to perform rigorous mathematical problem solving remains an open challenge. In this work, we investigate a fundamental yet…

机器学习 · 计算机科学 2025-03-03 Kechen Li , Wenqi Zhu , Coralia Cartis , Tianbo Ji , Shiwei Liu

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

Mathematical reasoning serves as a cornerstone for assessing the fundamental cognitive capabilities of human intelligence. In recent times, there has been a notable surge in the development of Large Language Models (LLMs) geared towards the…

计算与语言 · 计算机科学 2024-09-18 Janice Ahn , Rishu Verma , Renze Lou , Di Liu , Rui Zhang , Wenpeng Yin

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Recent large language models (LLMs) have shown indications of mathematical reasoning ability on challenging competition-level problems, especially with self-generated verbalizations of intermediate reasoning steps (i.e., chain-of-thought…

计算与语言 · 计算机科学 2024-06-11 Yujun Mao , Yoon Kim , Yilun Zhou

Large language models (LLMs), a recent advance in deep learning and machine intelligence, have manifested astonishing capacities, now considered among the most promising for artificial general intelligence. With human-like capabilities,…

人工智能 · 计算机科学 2025-09-19 Zhilun Zhou , Jing Yi Wang , Nicholas Sukiennik , Chen Gao , Fengli Xu , Yong Li , James Evans

Large language models (LLMs) have demonstrated solid zero-shot reasoning capabilities, which is reflected in their performance on the current test tasks. This calls for a more challenging benchmark requiring highly advanced reasoning…

计算与语言 · 计算机科学 2023-06-05 Maksym Del , Mark Fishel

Large Language Models (LLMs), such as GPT-4, have demonstrated impressive mathematical reasoning capabilities, achieving near-perfect performance on benchmarks like GSM8K. However, their application in personalized education remains limited…

计算机视觉与模式识别 · 计算机科学 2025-02-20 Yi-Fan Zhang , Hang Li , Dingjie Song , Lichao Sun , Tianlong Xu , Qingsong Wen