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Legal argumentation is a vital cornerstone of justice, underpinning an adversarial form of law, and extensive research has attempted to augment or undertake legal argumentation via the use of computer-based automation including Artificial…

Computers and Society · Computer Science 2020-09-24 Lance Eliot

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

Artificial intelligence is transforming mathematics at a speed and scale that demand active engagement from the mathematical community. We examine five areas where this transformation is particularly pressing: values, practice, teaching,…

History and Overview · Mathematics 2026-05-11 Johan Commelin , Mateja Jamnik , Rodrigo Ochigame , Lenny Taelman , Akshay Venkatesh

In recent years, there has been a stimulating discussion on how artificial intelligence (AI) can support the science and engineering of intelligent educational applications. Many studies in the field are proposing actionable data mining…

Computers and Society · Computer Science 2022-08-24 Gianni Fenu , Roberta Galici , Mirko Marras

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

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…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

The scientific innovation in Natural Language Processing (NLP) and more broadly in artificial intelligence (AI) is at its fastest pace to date. As large language models (LLMs) unleash a new era of automation, important debates emerge…

Computation and Language · Computer Science 2023-10-10 Catalina Goanta , Nikolaos Aletras , Ilias Chalkidis , Sofia Ranchordas , Gerasimos Spanakis

Artificial intelligence (AI) permeates all fields of life, which resulted in new challenges in requirements engineering for artificial intelligence (RE4AI), e.g., the difficulty in specifying and validating requirements for AI or…

Software Engineering · Computer Science 2024-09-12 Umm-e- Habiba , Markus Haug , Justus Bogner , Stefan Wagner

The paper discusses the capacities and limitations of current artificial intelligence (AI) technology to solve word problems that combine elementary knowledge with commonsense reasoning. No existing AI systems can solve these reliably. We…

Artificial Intelligence · Computer Science 2023-01-26 Ernest Davis

Reasoning is an essential component of human intelligence in that it plays a fundamental role in our ability to think critically, support responsible decisions, and solve challenging problems. Traditionally, AI has addressed reasoning in…

Artificial Intelligence · Computer Science 2025-11-17 Ha-Thanh Nguyen , Ken Satoh , Francesca Toni , Randy Goebel , Kostas Stathis

As a field of AI, Machine Reasoning (MR) uses largely symbolic means to formalize and emulate abstract reasoning. Studies in early MR have notably started inquiries into Explainable AI (XAI) -- arguably one of the biggest concerns today for…

The current state-of-the-art in artificial intelligence is impressive, especially in terms of mastery of language, but not so much in terms of mathematical reasoning. What could be missing? Can we learn something useful about that gap from…

Artificial Intelligence · Computer Science 2024-03-08 Yoshua Bengio , Nikolay Malkin

In AI-assisted decision-making, humans often passively review AI's suggestion and decide whether to accept or reject it as a whole. In such a paradigm, humans are found to rarely trigger analytical thinking and face difficulties in…

Human-Computer Interaction · Computer Science 2025-03-13 Shuai Ma , Qiaoyi Chen , Xinru Wang , Chengbo Zheng , Zhenhui Peng , Ming Yin , Xiaojuan Ma

This position paper provides a critical but constructive discussion of current practices in benchmarking and evaluative practices in the field of formal reasoning and automated theorem proving. We take the position that open code, open…

Artificial Intelligence · Computer Science 2025-07-08 Roozbeh Yousefzadeh , Xuenan Cao

Theorem proving is a fundamental aspect of mathematics, spanning from informal reasoning in natural language to rigorous derivations in formal systems. In recent years, the advancement of deep learning, especially the emergence of large…

Artificial Intelligence · Computer Science 2024-08-23 Zhaoyu Li , Jialiang Sun , Logan Murphy , Qidong Su , Zenan Li , Xian Zhang , Kaiyu Yang , Xujie Si

Real-life conjectures do not come with instructions saying whether they they should be proven or, instead, refuted. Yet, as we now know, in either case the final argument produced had better be not just convincing but actually verifiable in…

Computers and Society · Computer Science 2015-07-21 João Marcos

Large Language Models (LLMs) have emerged as a transformative AI paradigm, profoundly influencing daily life through their exceptional language understanding and contextual generation capabilities. Despite their remarkable performance, LLMs…

Artificial Intelligence · Computer Science 2024-12-10 Yedi Zhang , Yufan Cai , Xinyue Zuo , Xiaokun Luan , Kailong Wang , Zhe Hou , Yifan Zhang , Zhiyuan Wei , Meng Sun , Jun Sun , Jing Sun , Jin Song Dong

Large Language Models (LLMs) are playing an increasingly important role in physics research by assisting with symbolic manipulation, numerical computation, and scientific reasoning. However, ensuring the reliability, transparency, and…

Artificial Intelligence · Computer Science 2025-08-19 Yinggan Xu , Hana Kimlee , Yijia Xiao , Di Luo

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

Large Language Models (LLMs) have demonstrated strong performance across various natural language processing tasks, yet their proficiency in mathematical reasoning remains a key challenge. Addressing the gap between natural and mathematical…

Artificial Intelligence · Computer Science 2025-02-18 Xuhan Huang , Qingning Shen , Yan Hu , Anningzhe Gao , Benyou Wang
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