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Recent developments in computer programming and in mathematics suggest that there is a strong case for a new way of introducing programming to enhance the learning of school mathematics. The article describes a collaboration of mathematics…

历史与综述 · 数学 2022-03-30 Ian Benson , Jim Darby , Neil MacDonald , Jesse Sigal

Users interacting with voice assistants today need to phrase their requests in a very specific manner to elicit an appropriate response. This limits the user experience, and is partly due to the lack of reasoning capabilities of dialogue…

计算与语言 · 计算机科学 2022-03-22 Yi-Lin Tuan , Sajjad Beygi , Maryam Fazel-Zarandi , Qiaozi Gao , Alessandra Cervone , William Yang Wang

This essay considers ways that recent uses of computers in mathematics challenge contemporary views on the nature of mathematical understanding. It also puts these challenges in a historical perspective and offers speculation as to a…

历史与综述 · 数学 2023-11-01 Jeremy Avigad

Dialogue summarization is a challenging task with significant practical value in customer service, meeting analysis, and conversational AI. Although large language models (LLMs) have achieved substantial progress in summarization tasks, the…

计算与语言 · 计算机科学 2025-07-04 Keyan Jin , Yapeng Wang , Leonel Santos , Tao Fang , Xu Yang , Sio Kei Im , Hugo Gonçalo Oliveira

Neural generative models have been become increasingly popular when building conversational agents. They offer flexibility, can be easily adapted to new domains, and require minimal domain engineering. A common criticism of these systems is…

计算与语言 · 计算机科学 2019-07-29 Chinnadhurai Sankar , Sandeep Subramanian , Christopher Pal , Sarath Chandar , Yoshua Bengio

Efforts towards endowing robots with the ability to speak have benefited from recent advancements in natural language processing, in particular large language models. However, current language models are not fully incremental, as their…

计算与语言 · 计算机科学 2025-04-03 Casey Kennington , Pierre Lison , David Schlangen

Today, the vast majority of the world's digital information is represented using the fundamental assumption, introduced by Claude Shannon in 1948, that ``...the semantic aspects of communication are irrelevant to the engineering problem (of…

Argumentation is a very active research field of Artificial Intelligence concerned with the representation and evaluation of arguments used in dialogues between humans and/or artificial agents. Acceptability semantics of formal…

人工智能 · 计算机科学 2025-03-05 Zlatina Mileva , Antonis Bikakis , Fabio Aurelio D'Asaro , Mark Law , Alessandra Russo

Plausible reasoning concerns situations whose inherent lack of precision is not quantified; that is, there are no degrees or levels of precision, and hence no use of numbers like probabilities. A hopefully comprehensive set of principles…

人工智能 · 计算机科学 2017-04-05 David Billington

Classical higher-order logic, when utilized as a meta-logic in which various other (classical and non-classical) logics can be shallowly embedded, is well suited for realising a universal logic reasoning approach. Universal logic reasoning…

人工智能 · 计算机科学 2017-03-29 Christoph Benzmüller

There have been several modifications of how basic calculus has been taught, but very few of these modifications have considered the computational tools available at our disposal. Here, we present a few tools that are easy to develop and…

历史与综述 · 数学 2024-10-04 Parthasarathy Srinivasan

I analyse differences in style between traditional prose mathematics writing and computer-formalised mathematics writing, presenting five case studies. I note two aspects where good style seems to differ between the two: in their…

历史与综述 · 数学 2024-05-09 Heather Macbeth

Recent advances in large language models (LLMs) and multimodal LLMs (MLLMs) have led to strong reasoning ability across a wide range of tasks. However, their ability to perform mathematical reasoning from spoken input remains underexplored.…

计算与语言 · 计算机科学 2025-05-22 Chengwei Wei , Bin Wang , Jung-jae Kim , Nancy F. Chen

In this paper we study the complexity of strategic argumentation for dialogue games. A dialogue game is a 2-player game where the parties play arguments. We show how to model dialogue games in a skeptical, non-monotonic formalism, and we…

计算机科学中的逻辑 · 计算机科学 2013-12-17 Guido Governatori , Francesco Olivieri , Simone Scannapieco , Antonino Rotolo , Matteo Cristani

One of the most interesting aspects of the Amazon Alexa Prize competition is that the framing of the competition requires the development of new computational models of dialogue and its structure. Traditional computational models of…

计算与语言 · 计算机科学 2019-07-26 Kevin K. Bowden , Jiaqi Wu , Wen Cui , Juraj Juraska , Vrindavan Harrison , Brian Schwarzmann , Nick Santer , Marilyn Walker

Modern large language models (LLMs) employ diverse logical inference mechanisms for reasoning, making the strategic optimization of these approaches critical for advancing their capabilities. This paper systematically investigate the…

计算与语言 · 计算机科学 2025-09-18 Tianshi Zheng , Jiayang Cheng , Chunyang Li , Haochen Shi , Zihao Wang , Jiaxin Bai , Yangqiu Song , Ginny Y. Wong , Simon See

In this article, we are interested in the annotation of transcriptions of human-human dialogue taken from meeting records. We first propose a meeting content model where conversational acts are interpreted with respect to their…

计算与语言 · 计算机科学 2007-05-23 Vincenzo Pallotta , Hatem Ghorbel , Patrick Ruch , Giovanni Coray

Proof assistants and programming languages based on type theories usually come in two flavours: one is based on the standard natural deduction presentation of type theory and involves eliminators, while the other provides a syntax in…

计算机科学中的逻辑 · 计算机科学 2015-07-30 Nicolas Guenot , Daniel Gustafsson

Classroom discussions in English Language Arts have a positive effect on students' reading, writing and reasoning skills. Although prior work has largely focused on teacher talk and student-teacher interactions, we focus on three…

计算与语言 · 计算机科学 2019-09-09 Luca Lugini , Diane Litman , Amanda Godley , Christopher Olshefski

Abstraction logic is a new logic, serving as a foundation of mathematics. It combines features of both predicate logic and higher-order logic: abstraction logic can be viewed both as higher-order logic minus static types as well as…

计算机科学中的逻辑 · 计算机科学 2022-07-13 Steven Obua