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Large language models (LLMs) are powerful AI tools that can generate and comprehend natural language text and other complex information. However, the field lacks a mathematical framework to systematically describe, compare and improve LLMs.…

Machine Learning · Computer Science 2023-11-07 Javier González , Aditya V. Nori

Robotic path planning problems are often NP-hard, and practical solutions typically rely on approximation algorithms with provable performance guarantees for general cases. While designing such algorithms is challenging, formally proving…

Robotics · Computer Science 2026-03-23 Zhengbang Yang , Md. Tasin Tazwar , Minghan Wei , Zhuangdi Zhu

State-of-the-art Large Language Models (LLMs) are accredited with an increasing number of different capabilities, ranging from reading comprehension, over advanced mathematical and reasoning skills to possessing scientific knowledge. In…

Computation and Language · Computer Science 2024-11-01 Neeladri Bhuiya , Viktor Schlegel , Stefan Winkler

Analogical reasoning -- the capacity to identify and map structural relationships between different domains -- is fundamental to human cognition and learning. Recent studies have shown that large language models (LLMs) can sometimes match…

Computation and Language · Computer Science 2025-11-21 Sam Musker , Alex Duchnowski , Raphaël Millière , Ellie Pavlick

Large language models (LLMs) can explain grammatical rules, yet they often fail to apply those rules when judging sentence acceptability. We present "grammar prompting", an explain-then-process paradigm: a large LLM first produces a concise…

Computation and Language · Computer Science 2025-06-04 Russell Scheinberg , Ameeta Agrawal , Amber Shore , So Young Lee

Large Reasoning Models (LRMs) have become a central focus in today's large language model (LLM) research, where models are designed to output a step-by-step thinking process before arriving at a final answer to handle complex reasoning…

Artificial Intelligence · Computer Science 2025-07-24 Zhao Song , Song Yue , Jiahao Zhang

Large language models (LLMs) have demonstrated impressive capabilities, yet their internal mechanisms for handling reasoning-intensive tasks remain underexplored. To advance the understanding of model-internal processing mechanisms, we…

Computation and Language · Computer Science 2026-04-20 Tanja Baeumel , Josef van Genabith , Simon Ostermann

Large Language Models (LLMs) have limited performance when solving arithmetic reasoning tasks and often provide incorrect answers. Unlike natural language understanding, math problems typically have a single correct answer, making the task…

Computation and Language · Computer Science 2023-03-10 Shima Imani , Liang Du , Harsh Shrivastava

Algorithmic reasoning refers to the ability to understand the complex patterns behind the problem and decompose them into a sequence of reasoning steps towards the solution. Such nature of algorithmic reasoning makes it a challenge for…

Large language models (LLMs) can perform reasoning computations both internally within their latent space and externally by generating explicit token sequences like chains of thought. Significant progress in enhancing reasoning abilities…

Computation and Language · Computer Science 2025-04-16 Thilo Hagendorff , Sarah Fabi

Large Language Models (LLMs) have revolutionized human-AI interaction by enabling intuitive task execution through natural language prompts. Despite their potential, designing effective prompts remains a significant challenge, as small…

Software Engineering · Computer Science 2025-04-08 Yuetian Mao , Junjie He , Chunyang Chen

Large Language Models (LLMs) exhibit strong potential in mathematical reasoning, yet their effectiveness is often limited by a shortage of high-quality queries. This limitation necessitates scaling up computational responses through…

Artificial Intelligence · Computer Science 2025-05-20 Jingyue Gao , Runji Lin , Keming Lu , Bowen Yu , Junyang Lin , Jianyu Chen

Reasoning about code and explaining its purpose are fundamental skills for computer scientists. There has been extensive research in the field of computing education on the relationship between a student's ability to explain code and other…

Computers and Society · Computer Science 2024-04-03 Juho Leinonen , Paul Denny , Stephen MacNeil , Sami Sarsa , Seth Bernstein , Joanne Kim , Andrew Tran , Arto Hellas

The reasoning capabilities of Large Language Models (LLMs) play a critical role in many downstream tasks, yet depend strongly on the quality of training data. Despite various proposed data construction methods, their practical utility in…

Computation and Language · Computer Science 2025-10-09 Yike Zhao , Simin Guo , Ziqing Yang , Shifan Han , Dahua Lin , Fei Tan

Math world problems correction(MWPC) is a novel task dedicated to rectifying reasoning errors in the process of solving mathematical problems. In this paper, leveraging the advancements in large language models (LLMs), we address two key…

Computation and Language · Computer Science 2024-05-21 Hao Chen , Biaojie Zeng , Xin Lin , Liang He , Aimin Zhou

In recent years, Large Language Models (LLMs) have emerged as transformative tools across numerous domains, impacting how professionals approach complex analytical tasks. This systematic mapping study comprehensively examines the…

Computers and Society · Computer Science 2025-08-19 Sai Sanjna Chintakunta , Nathalia Nascimento , Everton Guimaraes

Systematic reviews are crucial for synthesizing scientific evidence but remain labor-intensive, especially when extracting detailed methodological information. Large language models (LLMs) offer potential for automating methodological…

Computation and Language · Computer Science 2025-10-14 Wenqing Zhang , Trang Nguyen , Elizabeth A. Stuart , Yiqun T. Chen

Large language models (LLMs) have been touted to enable increased productivity in many areas of today's work life. Scientific research as an area of work is no exception: the potential of LLM-based tools to assist in the daily work of…

Software Engineering · Computer Science 2024-04-24 Mohamed Nejjar , Luca Zacharias , Fabian Stiehle , Ingo Weber

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

Recent large language models (LLMs) have demonstrated versatile capabilities in long-context scenarios. Although some recent benchmarks have been developed to evaluate the long-context capabilities of LLMs, there is a lack of benchmarks…

Computation and Language · Computer Science 2024-10-08 Lei Wang , Shan Dong , Yuhui Xu , Hanze Dong , Yalu Wang , Amrita Saha , Ee-Peng Lim , Caiming Xiong , Doyen Sahoo