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Across languages, numeral systems vary widely in how they construct and combine numbers. While humans consistently learn to navigate this diversity, large language models (LLMs) struggle with linguistic-mathematical puzzles involving…

Computation and Language · Computer Science 2025-10-16 Antara Raaghavi Bhattacharya , Isabel Papadimitriou , Kathryn Davidson , David Alvarez-Melis

Mathematical reasoning, a core aspect of human cognition, is vital across many domains, from educational problem-solving to scientific advancements. As artificial general intelligence (AGI) progresses, integrating large language models…

Computation and Language · Computer Science 2025-05-21 Yibo Yan , Jiamin Su , Jianxiang He , Fangteng Fu , Xu Zheng , Yuanhuiyi Lyu , Kun Wang , Shen Wang , Qingsong Wen , Xuming Hu

Recent advances in AI have been significantly driven by the capabilities of large language models (LLMs) to solve complex problems in ways that resemble human thinking. However, there is an ongoing debate about the extent to which LLMs are…

Machine Learning · Computer Science 2024-08-16 Javier González , Aditya V. Nori

LLMs have demonstrated remarkable capability for understanding semantics, but they often struggle with understanding pragmatics. To demonstrate this fact, we release a Pragmatics Understanding Benchmark (PUB) dataset consisting of fourteen…

Computation and Language · Computer Science 2024-01-17 Settaluri Lakshmi Sravanthi , Meet Doshi , Tankala Pavan Kalyan , Rudra Murthy , Pushpak Bhattacharyya , Raj Dabre

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…

Computation and Language · Computer Science 2024-10-25 Junyi Ye , Jingyi Gu , Xinyun Zhao , Wenpeng Yin , Guiling Wang

In recent years, there has been remarkable progress in leveraging Language Models (LMs), encompassing Pre-trained Language Models (PLMs) and Large-scale Language Models (LLMs), within the domain of mathematics. This paper conducts a…

Computation and Language · Computer Science 2025-01-03 Wentao Liu , Hanglei Hu , Jie Zhou , Yuyang Ding , Junsong Li , Jiayi Zeng , Mengliang He , Qin Chen , Bo Jiang , Aimin Zhou , Liang He

Exploring the capabilities of Large Language Models (LLMs) in puzzle solving unveils critical insights into their potential and challenges in AI, marking a significant step towards understanding their applicability in complex reasoning…

Computation and Language · Computer Science 2025-08-04 Panagiotis Giadikiaroglou , Maria Lymperaiou , Giorgos Filandrianos , Giorgos Stamou

There is a substantial body of literature examining the mathematical reasoning capabilities of large language models (LLMs), particularly their performance on precise arithmetic operations in autoregressive architectures. However, their…

Computation and Language · Computer Science 2025-10-31 Chiung-Yi Tseng , Somshubhra Roy , Maisha Thasin , Danyang Zhang , Blessing Effiong

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran

Large language models (LLMs) have been explored in a variety of reasoning tasks including solving of mathematical problems. Each math dataset typically includes its own specially designed evaluation script, which, while suitable for its…

Computation and Language · Computer Science 2024-04-23 Boning Zhang , Chengxi Li , Kai Fan

This paper explores the use of large language models (LLMs) as research tools in the history, philosophy, and sociology of science (HPSS). LLMs are remarkably effective at processing unstructured text and inferring meaning from context,…

Computation and Language · Computer Science 2025-06-17 Arno Simons , Michael Zichert , Adrian Wüthrich

Large language models (LLMs) have proven to be highly effective for solving complex reasoning tasks. Surprisingly, their capabilities can often be improved by iterating on previously generated solutions. In this context, a reasoning plan…

Artificial Intelligence · Computer Science 2025-12-05 MohammadHossein Bateni , Vincent Cohen-Addad , Yuzhou Gu , Silvio Lattanzi , Simon Meierhans , Christopher Mohri

Large language models (LLMs) with billions of parameters exhibit in-context learning abilities, enabling few-shot learning on tasks that the model was not specifically trained for. Traditional models achieve breakthrough performance on…

Artificial Intelligence · Computer Science 2025-11-04 Aske Plaat , Annie Wong , Suzan Verberne , Joost Broekens , Niki van Stein , Thomas Back

Large Language Models (LLMs) have exhibited remarkable capabilities in many complex tasks including mathematical reasoning. However, traditional approaches heavily rely on ensuring self-consistency within single prompting method, which…

Computation and Language · Computer Science 2024-10-15 Gisang Lee , Sangwoo Park , Junyoung Park , Andrew Chung , Sieun Park , Yoonah Park , Byungju Kim , Min-gyu Cho

Advances in large language models (LLMs) have spurred research into enhancing their reasoning capabilities, particularly in math-rich STEM (Science, Technology, Engineering, and Mathematics) documents. While LLMs can generate equations or…

Computation and Language · Computer Science 2025-06-03 Jiaru Zou , Qing Wang , Pratyush Thakur , Nickvash Kani

Fermi Problems (FPs) are mathematical reasoning tasks that require human-like logic and numerical reasoning. Unlike other reasoning questions, FPs often involve real-world impracticalities or ambiguous concepts, making them challenging even…

Computation and Language · Computer Science 2025-04-04 Zishuo Liu , Carlos Rabat Villarreal , Mostafa Rahgouy , Amit Das , Zheng Zhang , Chang Ren , Dongji Feng

This paper investigates the mathematical reasoning capabilities of large language models (LLMs) using 50 newly constructed high-school-level word problems. Unlike prior studies that focus solely on answer correctness, we rigorously analyze…

Artificial Intelligence · Computer Science 2025-02-24 Johan Boye , Birger Moell

Human cognition exhibits systematic compositionality, the algebraic ability to generate infinite novel combinations from finite learned components, which is the key to understanding and reasoning about complex logic. In this work, we…

Computation and Language · Computer Science 2024-10-11 Jun Zhao , Jingqi Tong , Yurong Mou , Ming Zhang , Qi Zhang , Xuanjing Huang

In recent months, large language models (LLMs) have made significant progress in mathematical proof generation, but further advancement is hindered by the lack of a large-scale, high-quality dataset of human-evaluated proofs. While…

Large language models (LLMs) have demonstrated significant potential in the realm of natural language understanding and programming code processing tasks. Their capacity to comprehend and generate human-like code has spurred research into…

Software Engineering · Computer Science 2024-03-07 Chongzhou Fang , Ning Miao , Shaurya Srivastav , Jialin Liu , Ruoyu Zhang , Ruijie Fang , Asmita , Ryan Tsang , Najmeh Nazari , Han Wang , Houman Homayoun