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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

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Teachers are important to imparting knowledge and guiding learners, and the role of large language models (LLMs) as potential educators is emerging as an important area of study. Recognizing LLMs' capability to generate educational content…

Artificial Intelligence · Computer Science 2024-08-21 Yuyan Chen , Chenwei Wu , Songzhou Yan , Panjun Liu , Haoyu Zhou , Yanghua Xiao

The rapid advancement of large language models has opened new avenues for automating complex problem-solving tasks such as algorithmic coding and competitive programming. This paper introduces a novel evaluation technique, LLM-ProS, to…

Computation and Language · Computer Science 2026-03-03 Md Sifat Hossain , Anika Tabassum , Md. Fahim Arefin , Tarannum Shaila Zaman

As large language models (LLMs) advance, the ultimate vision for their role in science is emerging: we could build an AI collaborator to effectively assist human beings throughout the entire scientific research process. We refer to this…

Inequality proving, crucial across diverse scientific and mathematical fields, tests advanced reasoning skills such as discovering tight bounds and strategic theorem application. This makes it a distinct, demanding frontier for large…

Artificial Intelligence · Computer Science 2025-12-16 Pan Lu , Jiayi Sheng , Luna Lyu , Jikai Jin , Tony Xia , Alex Gu , James Zou

Automated fact-checking, using machine learning to verify claims, has grown vital as misinformation spreads beyond human fact-checking capacity. Large Language Models (LLMs) like GPT-4 are increasingly trusted to write academic papers,…

Computation and Language · Computer Science 2024-02-08 Dorian Quelle , Alexandre Bovet

Large Language Models (LLMs) have shown remarkable success on a wide range of math and reasoning benchmarks. However, we observe that they often struggle when faced with unreasonable math problems. Instead of recognizing these issues,…

Computation and Language · Computer Science 2025-06-03 Jingyuan Ma , Damai Dai , Zihang Yuan , Rui li , Weilin Luo , Bin Wang , Qun Liu , Lei Sha , Zhifang Sui

Argumentation skills are an essential toolkit for large language models (LLMs). These skills are crucial in various use cases, including self-reflection, debating collaboratively for diverse answers, and countering hate speech. In this…

Computation and Language · Computer Science 2026-04-21 Yamen Ajjour , Carlotta Quensel , Nedim Lipka , Henning Wachsmuth

Benchmarks are critical for measuring Large Language Model (LLM) reasoning capabilities. Some benchmarks have even become the de facto indicator of such capabilities. However, as LLM reasoning capabilities improve, existing widely-used…

Computation and Language · Computer Science 2025-02-26 Stephen Miner , Yoshiki Takashima , Simeng Han , Sam Kouteili , Ferhat Erata , Ruzica Piskac , Scott J Shapiro

Large language models (LLMs) are increasingly reshaping learning paradigms, cognitive processes, and research methodologies across diverse domains. As their adoption expands, effectively integrating LLMs into professional fields and…

Computation and Language · Computer Science 2026-02-10 Jie Zhou , Xin Chen , Jie Zhang , Zhe Li

Large multimodal language models (MLLMs) such as GPT-4V and GPT-4o have achieved remarkable advancements in understanding and generating multimodal content, showcasing superior quality and capabilities across diverse tasks. However, their…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 Xuelu Feng , Yunsheng Li , Dongdong Chen , Mei Gao , Mengchen Liu , Junsong Yuan , Chunming Qiao

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

Large Language Models (LLMs) like GPT-3 and GPT-4 have emerged as groundbreaking innovations with capabilities that extend far beyond traditional AI applications. These sophisticated models, trained on massive datasets, can generate…

Software Engineering · Computer Science 2025-05-21 Md Asraful Haque

This paper presents a comprehensive exploration of leveraging Large Language Models (LLMs), specifically GPT-4, in the field of instructional design. With a focus on scaling evidence-based instructional design expertise, our research aims…

Computation and Language · Computer Science 2023-06-27 Gautam Yadav

The progress of Large Language Models (LLMs) like ChatGPT raises the question of how they can be integrated into education. One hope is that they can support mathematics learning, including word-problem solving. Since LLMs can handle…

Computation and Language · Computer Science 2025-08-12 Anselm R. Strohmaier , Wim Van Dooren , Kathrin Seßler , Brian Greer , Lieven Verschaffel

Reasoning has emerged as the next major frontier for language models (LMs), with rapid advances from both academic and industrial labs. However, this progress often outpaces methodological rigor, with many evaluations relying on…

Machine Learning · Computer Science 2025-10-08 Andreas Hochlehnert , Hardik Bhatnagar , Vishaal Udandarao , Samuel Albanie , Ameya Prabhu , Matthias Bethge

The rapid evolution of Large Language Models (LLMs) and Multimodal Large Language Models (MLLMs) has driven major gains in reasoning, perception, and generation across language and vision, yet whether these advances translate into…

In this paper, we introduce PolyMath, a multilingual mathematical reasoning benchmark covering 18 languages and 4 easy-to-hard difficulty levels. Our benchmark ensures difficulty comprehensiveness, language diversity, and high-quality…