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Large language models (LLMs) are known to struggle with complicated reasoning tasks such as math word problems (MWPs). In this paper, we present how analogy from similarly structured questions can improve LLMs' problem-solving capabilities…

Computation and Language · Computer Science 2024-11-26 Xiaocong Yang , Jiacheng Lin , Ziqi Wang , Chengxiang Zhai

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

In this work, we use large language models (LLMs) to augment and accelerate research on the P versus NP problem, one of the most important open problems in theoretical computer science and mathematics. Specifically, we propose Socratic…

Computation and Language · Computer Science 2023-09-13 Qingxiu Dong , Li Dong , Ke Xu , Guangyan Zhou , Yaru Hao , Zhifang Sui , Furu Wei

Tool-augmented Large Language Models (TALMs) are known to enhance the skillset of large language models (LLMs), thereby, leading to their improved reasoning abilities across many tasks. While, TALMs have been successfully employed in…

Computation and Language · Computer Science 2024-04-04 Debrup Das , Debopriyo Banerjee , Somak Aditya , Ashish Kulkarni

An essential element of human mathematical reasoning is our number sense -- an abstract understanding of numbers and their relationships -- which allows us to solve problems involving vast number spaces using limited computational…

Artificial Intelligence · Computer Science 2025-04-02 Roussel Rahman

Large language models (LLMs) have achieved impressive performance across various mathematical reasoning benchmarks. However, there are increasing debates regarding whether these models truly understand and apply mathematical knowledge or…

Computation and Language · Computer Science 2024-07-03 Qintong Li , Leyang Cui , Xueliang Zhao , Lingpeng Kong , Wei Bi

Over the past few years, the abilities of large language models (LLMs) have received extensive attention, which have performed exceptionally well in complicated scenarios such as logical reasoning and symbolic inference. A significant…

Computation and Language · Computer Science 2024-02-20 Junbing Yan , Chengyu Wang , Jun Huang , Wei Zhang

This paper explores the potential of large language models (LLMs) as reliable analytical tools in linguistic research, focusing on the emergence of affective meanings in temporal expressions involving manner-of-motion verbs. While LLMs like…

Computation and Language · Computer Science 2025-07-15 Rosa Illan Castillo , Javier Valenzuela

Large language models (LLMs) enable researchers to analyze text at unprecedented scale and minimal cost. Researchers can now revisit old questions and tackle novel ones with rich data. We provide an econometric framework for realizing this…

Econometrics · Economics 2025-12-08 Jens Ludwig , Sendhil Mullainathan , Ashesh Rambachan

Leveraging mathematical Large Language Models (LLMs) for proof generation is a fundamental topic in LLMs research. We argue that the ability of current LLMs to prove statements largely depends on whether they have encountered the relevant…

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

Metaphors are everywhere. They appear extensively across all domains of natural language, from the most sophisticated poetry to seemingly dry academic prose. A significant body of research in the cognitive science of language argues for the…

Computation and Language · Computer Science 2024-10-14 Rebecca M. M. Hicke , Ross Deans Kristensen-McLachlan

With the development of artificial intelligence (AI), large language models (LLM) are widely used in many fields. However, the reasoning ability of LLM is still very limited when it comes to mathematical reasoning. Mathematics plays an…

Computation and Language · Computer Science 2024-08-06 Wenbei Xie , Donglin Liu , Haoran Yan , Wenjie Wu , Zongyang Liu

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

\textit{Background:} The use of large language models in software testing is growing fast as they support numerous tasks, from test case generation to automation, and documentation. However, their adoption often relies on informal…

Software Engineering · Computer Science 2025-10-21 Maria Deolinda Santana , Cleyton Magalhaes , Ronnie de Souza Santos

Advances in the general capabilities of large language models (LLMs) have led to their use for information retrieval, and as components in automated decision systems. A faithful representation of probabilistic reasoning in these models may…

Artificial Intelligence · Computer Science 2025-04-21 Gabriel Freedman , Francesca Toni

Large language models (LLMs) can solve an increasing number of complex reasoning tasks while making surprising mistakes in basic numerical understanding and processing (such as 9.11 > 9.9). The latter ability is essential for tackling…

Computation and Language · Computer Science 2025-03-06 Haotong Yang , Yi Hu , Shijia Kang , Zhouchen Lin , Muhan Zhang

A Large Language Model (LLM) represents a cutting-edge artificial intelligence model that generates coherent content, including grammatically precise sentences, human-like paragraphs, and syntactically accurate code snippets. LLMs can play…

Software Engineering · Computer Science 2023-12-11 Robson Santos , Italo Santos , Cleyton Magalhaes , Ronnie de Souza Santos

Computing educators and researchers have used programming process data to understand how programs are constructed and what sorts of problems students struggle with. Although such data shows promise for using it for feedback, fully automated…

Computers and Society · Computer Science 2024-11-04 John Edwards , Arto Hellas , Juho Leinonen

We present a new approach for benchmarking Large Language Model (LLM) capabilities on research-level mathematics. Existing benchmarks largely rely on static, hand-curated sets of contest or textbook-style problems as proxies for…

Artificial Intelligence · Computer Science 2026-03-02 Antoine Peyronnet , Fabian Gloeckle , Amaury Hayat
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