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Numeral systems and units of measurement are two conjoined topics in activities of human beings and have mutual effects with the languages expressing them. Currently, the evaluation of Large Language Models (LLMs) often involves…

Computation and Language · Computer Science 2024-06-06 Ancheng Xu , Minghuan Tan , Lei Wang , Min Yang , Ruifeng Xu

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,…

Artificial Intelligence · Computer Science 2025-09-19 Zhilun Zhou , Jing Yi Wang , Nicholas Sukiennik , Chen Gao , Fengli Xu , Yong Li , James Evans

Understanding the limitations of Large Language Models, or LLMs, in mathematical reasoning has been the focus of several recent studies. However, the majority of these studies use the same datasets for benchmarking, which limits the…

Artificial Intelligence · Computer Science 2026-01-01 Samuel Golladay , Majid Bani-Yaghoub

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…

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 (LLMs) have demonstrated potential in reasoning tasks, but their performance on linguistics puzzles remains consistently poor. These puzzles, often derived from Linguistics Olympiad (LO) contests, provide a minimal…

Large Language Models (LLMs) have achieved remarkable success in tasks requiring complex reasoning, such as code generation, mathematical problem solving, and algorithmic synthesis -- especially when aided by reasoning tokens and…

Computation and Language · Computer Science 2025-06-13 Jaechul Roh , Varun Gandhi , Shivani Anilkumar , Arin Garg

Large Language Models (LLMs), combined with program-based solving techniques, are increasingly demonstrating proficiency in mathematical reasoning. For example, closed-source models such as OpenAI GPT-4 and Claude show excellent results in…

Computation and Language · Computer Science 2024-07-23 Vernon Toh Yan Han , Ratish Puduppully , Nancy F. Chen

The rapid rise in popularity of Large Language Models (LLMs) with emerging capabilities has spurred public curiosity to evaluate and compare different LLMs, leading many researchers to propose their own LLM benchmarks. Noticing preliminary…

Artificial Intelligence · Computer Science 2025-05-15 Timothy R. McIntosh , Teo Susnjak , Nalin Arachchilage , Tong Liu , Paul Watters , Malka N. Halgamuge

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…

Computation and Language · Computer Science 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

Students' handwritten math work provides a rich resource for diagnosing cognitive skills, as it captures intermediate reasoning beyond final answers. We investigate how current large language models (LLMs) perform in diagnosing cognitive…

Artificial Intelligence · Computer Science 2026-02-05 Yoonsu Kim , Hyoungwook Jin , Hayeon Doh , Eunhye Kim , Dongyun Jung , Seungju Kim , Kiyoon Choi , Jinho Son , Juho Kim

Multimodal large language models (MLLMs) have achieved strong performance on perception-oriented tasks, yet their ability to perform mathematical spatial reasoning, defined as the capacity to parse and manipulate two- and three-dimensional…

The pursuit of leaderboard rankings in Large Language Models (LLMs) has created a fundamental paradox: models excel at standardized tests while failing to demonstrate genuine language understanding and adaptability. Our systematic analysis…

Computation and Language · Computer Science 2024-12-06 Sourav Banerjee , Ayushi Agarwal , Eishkaran Singh

Despite the recent success of large language models (LLMs) in reasoning such as DeepSeek, we for the first time identify a key dilemma in reasoning robustness and generalization: significant performance degradation on novel or incomplete…

Artificial Intelligence · Computer Science 2025-03-07 Tong Yu , Yongcheng Jing , Xikun Zhang , Wentao Jiang , Wenjie Wu , Yingjie Wang , Wenbin Hu , Bo Du , Dacheng Tao

Large Language Models (LLMs) excel at various tasks, including problem-solving and question-answering. However, LLMs often find Math Word Problems (MWPs) challenging because solving them requires a range of reasoning and mathematical…

Artificial Intelligence · Computer Science 2025-09-24 Mitchell Piehl , Dillon Wilson , Ananya Kalita , Jugal Kalita

Formal logic enables computers to reason in natural language by representing sentences in symbolic forms and applying rules to derive conclusions. However, in what our study characterizes as "rulebreaker" scenarios, this method can lead to…

Computation and Language · Computer Science 2025-08-18 Jason Chan , Robert Gaizauskas , Zhixue Zhao

This research introduces a novel evaluation framework designed to assess large language models' (LLMs) ability to acknowledge uncertainty on 675 fundamentally unsolvable problems. Using a curated dataset of graduate-level grand challenge…

Computation and Language · Computer Science 2024-11-25 David Noever , Forrest McKee

Identifying and resolving logic errors can be one of the most frustrating challenges for novices programmers. Unlike syntax errors, for which a compiler or interpreter can issue a message, logic errors can be subtle. In certain conditions,…

Human-Computer Interaction · Computer Science 2023-11-28 Stephen MacNeil , Paul Denny , Andrew Tran , Juho Leinonen , Seth Bernstein , Arto Hellas , Sami Sarsa , Joanne Kim

Recent advances in language models have demonstrated their capability to solve mathematical reasoning problems, achieving near-perfect accuracy on grade-school level math benchmarks like GSM8K. In this paper, we formally study how language…

Artificial Intelligence · Computer Science 2024-07-31 Tian Ye , Zicheng Xu , Yuanzhi Li , Zeyuan Allen-Zhu

Large Language Models (LLMs) have demonstrated impressive performance in code generation tasks under idealized conditions, where task descriptions are clear and precise. However, in practice, task descriptions frequently exhibit ambiguity,…

Software Engineering · Computer Science 2025-07-29 Maya Larbi , Amal Akli , Mike Papadakis , Rihab Bouyousfi , Maxime Cordy , Federica Sarro , Yves Le Traon
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