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Related papers: A Survey in Mathematical Language Processing

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Informal logic is a method of argument analysis which is complementary to that of formal logic, providing for the pragmatic treatment of features of argumentation which cannot be reduced to logical form. The central claim of this paper is…

History and Overview · Mathematics 2019-05-03 Andrew Aberdein

Semantic processing is a fundamental research domain in computational linguistics. In the era of powerful pre-trained language models and large language models, the advancement of research in this domain appears to be decelerating. However,…

Computation and Language · Computer Science 2023-10-31 Rui Mao , Kai He , Xulang Zhang , Guanyi Chen , Jinjie Ni , Zonglin Yang , Erik Cambria

The goal of this project is to (i) accumulate annotated informal/formal mathematical corpora suitable for training semi-automated translation between informal and formal mathematics by statistical machine-translation methods, (ii) to…

Artificial Intelligence · Computer Science 2014-05-15 Cezary Kaliszyk , Josef Urban , Jiri Vyskocil , Herman Geuvers

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

In this paper we share several experiments trying to automatically translate informal mathematics into formal mathematics. In our context informal mathematics refers to human-written mathematical sentences in the LaTeX format; and formal…

Logic in Computer Science · Computer Science 2019-12-16 Qingxiang Wang , Chad Brown , Cezary Kaliszyk , Josef Urban

Mathematical reasoning serves as a cornerstone for assessing the fundamental cognitive capabilities of human intelligence. In recent times, there has been a notable surge in the development of Large Language Models (LLMs) geared towards the…

Computation and Language · Computer Science 2024-09-18 Janice Ahn , Rishu Verma , Renze Lou , Di Liu , Rui Zhang , Wenpeng Yin

A high-quality content analysis is essential for retrieval functionalities but the manual extraction of key phrases and classification is expensive. Natural language processing provides a framework to automatize the process. Here, a…

Computation and Language · Computer Science 2013-07-01 Ulf Schöneberg , Wolfram Sperber

One major problem in Natural Language Processing is the automatic analysis and representation of human language. Human language is ambiguous and deeper understanding of semantics and creating human-to-machine interaction have required an…

Computation and Language · Computer Science 2022-06-01 Neslihan Suzen , Alexander N. Gorban , Jeremy Levesley , Evgeny M. Mirkes

Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of…

History and Overview · Mathematics 2024-05-06 Andrew Aberdein , Zoe Ashton

Before we can get the whole potential of employing computers in the process of managing mathematical `knowledge', we have to convert informal knowledge into machine-oriented representations. How exactly to support this process so that it…

Digital Libraries · Computer Science 2010-10-29 Constantin Jucovschi

Mathematical text is written using a combination of words and mathematical expressions. This combination, along with a specific way of structuring sentences makes it challenging for state-of-art NLP tools to understand and reason on top of…

Computation and Language · Computer Science 2020-05-01 Deborah Ferreira , Andre Freitas

Mathematical reasoning has long represented one of the most fundamental and challenging frontiers in artificial intelligence research. In recent years, large language models (LLMs) have achieved significant advances in this area. This…

Artificial Intelligence · Computer Science 2025-06-11 Peng-Yuan Wang , Tian-Shuo Liu , Chenyang Wang , Yi-Di Wang , Shu Yan , Cheng-Xing Jia , Xu-Hui Liu , Xin-Wei Chen , Jia-Cheng Xu , Ziniu Li , Yang Yu

Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks. Reasoning with LLMs is central to solving multi-step problems and complex decision-making. To support efficient reasoning, recent studies…

Computation and Language · Computer Science 2025-09-03 Jindong Li , Yali Fu , Li Fan , Jiahong Liu , Yao Shu , Chengwei Qin , Menglin Yang , Irwin King , Rex Ying

Mathematical information is essential for technical work, but its creation, interpretation, and search are challenging. To help address these challenges, researchers have developed multimodal search engines and mathematical question…

Information Retrieval · Computer Science 2025-01-15 Richard Zanibbi , Behrooz Mansouri , Anurag Agarwal

In recent years, there has been remarkable progress in leveraging Language Models (LMs), encompassing Pre-trained Language Models (PLMs) and Large-scale Language Models (LLMs), within the domain of mathematics. This paper conducts a…

Computation and Language · Computer Science 2025-01-03 Wentao Liu , Hanglei Hu , Jie Zhou , Yuyang Ding , Junsong Li , Jiayi Zeng , Mengliang He , Qin Chen , Bo Jiang , Aimin Zhou , Liang He

Questions concerning origin of mathematical knowledge and roles of language and intuition (imagery) in mathematical thoughts are long standing and widely debated. By introspection, mathematicians usually have some beliefs regarding these…

Neurons and Cognition · Quantitative Biology 2019-10-02 Manouchehr Zaker

Business communication digitisation has reorganised the process of persuasive discourse, which allows not only greater transparency but also advanced deception. This inquiry synthesises classical rhetoric and communication psychology with…

Computation and Language · Computer Science 2025-08-14 Sayem Hossen , Monalisa Moon Joti , Md. Golam Rashed

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

Irony is a ubiquitous figurative language in daily communication. Previously, many researchers have approached irony from linguistic, cognitive science, and computational aspects. Recently, some progress have been witnessed in automatic…

Computation and Language · Computer Science 2022-09-13 Qingcheng Zeng , An-Ran Li

Mathematical reasoning in large language models (LMs) has garnered significant attention in recent work, but there is a limited understanding of how these models process and store information related to arithmetic tasks within their…

Computation and Language · Computer Science 2023-10-23 Alessandro Stolfo , Yonatan Belinkov , Mrinmaya Sachan
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