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{\bf Abstract.} The present article is an essay about mathematical intuition and Artificial intelligence (A.I.), followed by a guided excursion to a well-known open problem. It has two objectives. The first is to reconcile the way of…

History and Overview · Mathematics 2024-01-12 F. Thomas Bruss

The ongoing artificial intelligence (AI) revolution has the potential to change almost every line of work. As AI capabilities continue to improve in accuracy, robustness, and reach, AI may outperform and even replace human experts across…

Digital Libraries · Computer Science 2024-06-04 Jian Gao , Dashun Wang

Artificial Expert Intelligence (AEI) seeks to transcend the limitations of both Artificial General Intelligence (AGI) and narrow AI by integrating domain-specific expertise with critical, precise reasoning capabilities akin to those of top…

Artificial Intelligence · Computer Science 2024-12-04 Shai Shalev-Shwartz , Amnon Shashua , Gal Beniamini , Yoav Levine , Or Sharir , Noam Wies , Ido Ben-Shaul , Tomer Nussbaum , Shir Granot Peled

Principles of analogical reasoning have recently been applied in the context of machine learning, for example to develop new methods for classification and preference learning. In this paper, we argue that, while analogical reasoning is…

Machine Learning · Computer Science 2020-05-27 Eyke Hüllermeier

This paper overviews the basic principles and recent advances in the emerging field of Quantum Computation (QC), highlighting its potential application to Artificial Intelligence (AI). The paper provides a very brief introduction to basic…

Artificial Intelligence · Computer Science 2007-05-24 Kyriakos N. Sgarbas

Argumentation is a central subarea of Artificial Intelligence (AI) for modeling and reasoning about arguments. The semantics of abstract argumentation frameworks (AFs) is given by sets of arguments (extensions) and conditions on the…

Artificial Intelligence · Computer Science 2025-05-19 Johannes Fichte , Nicolas Fröhlich , Markus Hecher , Victor Lagerkvist , Yasir Mahmood , Arne Meier , Jonathan Persson

With the rapid development of artificial intelligence (AI) community, education in AI is receiving more and more attentions. There have been many AI related courses in the respects of algorithms and applications, while not many courses in…

Artificial Intelligence · Computer Science 2022-07-26 Jianlei Yang , Xiaopeng Gao , Weisheng Zhao

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

This essay considers the special character of mathematical reasoning, and draws on observations from interactive theorem proving and the history of mathematics to clarify the nature of formal and informal mathematical language. It proposes…

History and Overview · Mathematics 2015-08-24 Jeremy Avigad

Reasoning, a fundamental cognitive process integral to human intelligence, has garnered substantial interest within artificial intelligence. Notably, recent studies have revealed that chain-of-thought prompting significantly enhances LLM's…

Computation and Language · Computer Science 2024-06-07 Zheng Chu , Jingchang Chen , Qianglong Chen , Weijiang Yu , Tao He , Haotian Wang , Weihua Peng , Ming Liu , Bing Qin , Ting Liu

Artificial intelligence and machine learning are reshaping how we approach scientific discovery, not by replacing established methods but by extending what researchers can probe, predict, and design. In this roadmap we provide a…

As AI tools become increasingly embedded in cognitively demanding tasks such as note-taking, questions remain about whether they enhance or undermine cognitive engagement. This paper examines the "AI Assistance Dilemma" in note-taking,…

Human-Computer Interaction · Computer Science 2025-09-04 Xinyue Chen , Kunlin Ruan , Kexin Phyllis Ju , Nathan Yap , Xu Wang

The goal of this series is to chronicle opinions and issues in the field of machine learning as they stand today and as they change over time. The plan is to host this survey periodically until the AI singularity paperclip-frenzy-driven…

Math is constructed by people for people: just as natural language corpora reflect not just propositions but the communicative goals of language users, the math data that models are trained on reflects not just idealized mathematical…

Artificial Intelligence · Computer Science 2024-11-01 Sasha Boguraev , Ben Lipkin , Leonie Weissweiler , Kyle Mahowald

Artificial Intelligence (AI) techniques play a pivotal role in optimizing wireless communication networks. However, traditional deep learning approaches often act as closed boxes, lacking the structured reasoning abilities needed to tackle…

Networking and Internet Architecture · Computer Science 2025-09-12 Haoxiang Luo , Yu Yan , Yanhui Bian , Wenjiao Feng , Ruichen Zhang , Yinqiu Liu , Jiacheng Wang , Gang Sun , Dusit Niyato , Hongfang Yu , Abbas Jamalipour , Shiwen Mao

This study investigates and suggests typologies for examining Artificial Intelligence (AI) within the domains of journalism and mass communication research. We aim to elucidate the seven distinct subfields of AI, which encompass machine…

Computers and Society · Computer Science 2023-09-25 Gregory Gondwe

Although much research has focused on AI explanations to support decisions in complex information-seeking tasks such as fact-checking, the role of evidence is surprisingly under-researched. In our study, we systematically varied explanation…

Human-Computer Interaction · Computer Science 2026-01-19 Greta Warren , Jingyi Sun , Irina Shklovski , Isabelle Augenstein

In this position paper, we advocate for the idea that courses and exams in the AI era have to be designed based on two factors: (1) the strengths and limitations of AI, and (2) the pedagogical educational objectives. Based on insights from…

Computers and Society · Computer Science 2023-08-07 Ahmad Samer Wazan , Imran Taj , Abdulhadi Shoufan , Romain Laborde , Rémi Venant

Interactive proof assistants make it possible for ordinary mathematicians to write definitions and theorems in a formal proof language, like a programming language, so that a computer can parse them and check them against the rules of a…

History and Overview · Mathematics 2024-11-20 Jeremy Avigad , Johan Commelin , Heather Macbeth , Adam Topaz
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