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To comprehensively evaluate the mathematical reasoning capabilities of Large Language Models (LLMs), researchers have introduced abundant mathematical reasoning datasets. However, most existing datasets primarily focus on linear reasoning,…

Computation and Language · Computer Science 2026-02-25 Yuliang Ji , Fuchen Shen , Jian Wu , Qiujie Xie , Yue Zhang

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

Large language models (LLMs) regularly demonstrate new and impressive performance on a wide range of language, knowledge, and reasoning benchmarks. Such rapid progress has led many commentators to argue that LLM general cognitive…

Computation and Language · Computer Science 2025-02-21 James Fodor

Advanced applied mathematics problems are underrepresented in existing Large Language Model (LLM) benchmark datasets. To address this, we introduce HARDMath, a dataset inspired by a graduate course on asymptotic methods, featuring…

Existing legal frameworks on AI rely on training compute thresholds as a proxy to identify potentially-dangerous AI models and trigger increased regulatory attention. In the United States, Section 4.2(a) of Executive Order 14110 instructs…

Computers and Society · Computer Science 2025-02-04 Matteo Pistillo , Pablo Villalobos

In the realm of formal theorem proving, the Coq proof assistant stands out for its rigorous approach to verifying mathematical assertions and software correctness. Despite the advances in artificial intelligence and machine learning, the…

Artificial Intelligence · Computer Science 2024-04-03 Andreas Florath

Large Language Models (LLMs) have recently achieved impressive performance in math and reasoning benchmarks. However, they often struggle with logic problems and puzzles that are relatively easy for humans. To further investigate this, we…

Artificial Intelligence · Computer Science 2025-09-16 Nasim Borazjanizadeh , Roei Herzig , Trevor Darrell , Rogerio Feris , Leonid Karlinsky

Mathematical problem solving is a fundamental benchmark for assessing the reasoning capabilities of artificial intelligence and a gateway to applications in education, science, and engineering where reliable symbolic reasoning is essential.…

Artificial Intelligence · Computer Science 2026-02-10 Aditya Basarkar , Benyamin Tabarsi , Tiffany Barnes , Dongkuan Xu

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…

Computation and Language · Computer Science 2024-06-11 Yujun Mao , Yoon Kim , Yilun Zhou

This paper investigates the logical reasoning capabilities of large language models (LLMs). For a precisely defined yet tractable formulation, we choose the conceptually simple but technically complex task of constructing proofs in Boolean…

Machine Learning · Computer Science 2025-04-30 Yuan Xia , Akanksha Atrey , Fadoua Khmaissia , Kedar S. Namjoshi

Large language models (LLMs) have seen considerable advancements in natural language understanding tasks, yet there remains a gap to bridge before attaining true artificial general intelligence, especially concerning shortcomings in…

Computation and Language · Computer Science 2024-02-23 Minpeng Liao , Wei Luo , Chengxi Li , Jing Wu , Kai Fan

Recent work has shown that large pretrained Language Models (LMs) can not only perform remarkably well on a range of Natural Language Processing (NLP) tasks but also start improving on reasoning tasks such as arithmetic induction, symbolic…

Computation and Language · Computer Science 2022-08-11 Jing Qian , Hong Wang , Zekun Li , Shiyang Li , Xifeng Yan

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

Large Reasoning Models (LRMs) have made significant progress in mathematical capabilities in recent times. However, these successes have been primarily confined to competition-level problems. In this work, we propose AI Mathematician (AIM)…

Artificial Intelligence · Computer Science 2025-05-29 Yuanhang Liu , Yanxing Huang , Yanqiao Wang , Peng Li , Yang Liu

Quantitative reasoning is a critical skill to analyze data, yet the assessment of such ability remains limited. To address this gap, we introduce the Quantitative Reasoning with Data (QRData) benchmark, aiming to evaluate Large Language…

Computation and Language · Computer Science 2024-06-11 Xiao Liu , Zirui Wu , Xueqing Wu , Pan Lu , Kai-Wei Chang , Yansong Feng

The evaluation of Large Language Models (LLMs) on mathematical reasoning has largely focused on elementary problems, competition-style questions, or formal theorem proving, leaving graduate-level and computational mathematics relatively…

Computation and Language · Computer Science 2026-03-05 Bianca Raimondi , Francesco Pivi , Davide Evangelista , Maurizio Gabbrielli

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…

Computation and Language · Computer Science 2024-05-24 Neisarg Dave , Daniel Kifer , C. Lee Giles , Ankur Mali

Large language models now solve many benchmark math problems at near-expert levels, yet this progress has not fully translated into reliable performance in real-world applications. We study this gap through contextual mathematical…

Artificial Intelligence · Computer Science 2026-04-06 Bowen Cao , Dongdong Zhang , Yixia Li , Junpeng Liu , Shijue Huang , Chufan Shi , Hongyuan Lu , Yaokang Wu , Guanhua Chen , Wai Lam , Furu Wei

Large language models (LLMs) have significantly advanced natural language understanding and demonstrated strong problem-solving abilities. Despite these successes, most LLMs still struggle with solving mathematical problems due to the…

Computation and Language · Computer Science 2024-06-27 Meng Fang , Xiangpeng Wan , Fei Lu , Fei Xing , Kai Zou

Open-source multimodal large language models (MLLMs) have shown significant potential in a broad range of multimodal tasks. However, their reasoning capabilities remain constrained by existing instruction-tuning datasets, which were…

Computation and Language · Computer Science 2025-06-05 Jarvis Guo , Tuney Zheng , Yuelin Bai , Bo Li , Yubo Wang , King Zhu , Yizhi Li , Graham Neubig , Wenhu Chen , Xiang Yue