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Terms are one of the fundamental mathematical concepts in computing. E.g. every expression characterisable by a context free grammar is a term. We developed a thread-safe Term Library. The biggest challenge is to implement hyper-efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-15 J. F. Groote , M. Laveaux , P. H. M. van Spaendonck

Large Language Models (LLMs) have demonstrated significant potential in generating mathematical proofs. However, a persistent challenge is that LLMs occasionally make mistakes, while even a minor mistake can invalidate an entire proof.…

Logic in Computer Science · Computer Science 2025-03-10 David Yin , Jing Gao

The tool-use Large Language Models (LLMs) that integrate with external Python interpreters have significantly enhanced mathematical reasoning capabilities for open-source LLMs, while tool-free methods chose another track: augmenting math…

Computation and Language · Computer Science 2024-05-14 Shuo Yin , Weihao You , Zhilong Ji , Guoqiang Zhong , Jinfeng Bai

Code optimization remains a core objective in software development, yet modern compilers struggle to navigate the enormous optimization spaces. While recent research has looked into employing large language models (LLMs) to optimize source…

Software Engineering · Computer Science 2026-04-17 Hanyun Jiang , Peisen Yao , Kaiyue Li , Tingting Lin , Chengpeng Wang , Kui Ren

Mathematical programming is widely employed across various sectors - such as logistics, energy, and workforce planning - to model and solve industrial optimisation problems, but its use requires substantial domain expertise. Large language…

Programming Languages · Computer Science 2026-05-29 Roberto Rossi , Steven D. Prestwich

Automatic and adaptive approximation, optimization, or integration of functions in a cone with guarantee of accuracy is a relatively new paradigm. Our purpose is to create an open-source MATLAB package, Guaranteed Automatic Integration…

Mathematical Software · Computer Science 2015-03-25 Sou-Cheng T. Choi , Yuhan Ding , Fred J. Hickernell , Lan Jiang , Lluís Antoni Jiménez Rugama , Xin Tong , Yizhi Zhang , Xuan Zhou

Library learning is the process of building a library of common functionalities from a given set of programs. Typically, this process is applied in the context of aiding program synthesis: concise functions can help the synthesizer produce…

Programming Languages · Computer Science 2024-10-10 Abhiram Bellur , Razan Alghamdi , Kidus Workneh , Joseph Izraelevitz

Computational notebooks became indispensable tools for research-related development, offering unprecedented interactivity and flexibility in the development process. However, these benefits come at the cost of reproducibility and an…

Software Engineering · Computer Science 2024-05-06 Konstantin Grotov , Sergey Titov , Yaroslav Zharov , Timofey Bryksin

Developments in the context of Open, Big, and Linked Data have led to an enormous growth of structured data on the Web. To keep up with the pace of efficient consumption and management of the data at this rate, many data Management…

As data science and machine learning methods are taking on an increasingly important role in the materials research community, there is a need for the development of machine learning software tools that are easy to use (even for nonexperts…

Computational Physics · Physics 2020-06-26 Ryan Jacobs , Tam Mayeshiba , Ben Afflerbach , Luke Miles , Max Williams , Matthew Turner , Raphael Finkel , Dane Morgan

Large language models (LLMs) have rapidly progressed into general-purpose agents capable of solving a broad spectrum of tasks. However, current models remain inefficient at reasoning: they apply fixed inference-time compute regardless of…

Code linters play a crucial role in developing high-quality software systems by detecting potential problems (e.g., memory leaks) in the source code of systems. Despite their benefits, code linters are often language-specific, focused on…

Software Engineering · Computer Science 2024-07-24 Darren Holden , Nafiseh Kahani

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

Large language models (LLMs) have achieved impressive performance across various natural language benchmarks, prompting a continual need to curate more difficult datasets for larger LLMs, which is costly and time-consuming. In this paper,…

Computation and Language · Computer Science 2024-06-07 Jiahao Ying , Yixin Cao , Yushi Bai , Qianru Sun , Bo Wang , Wei Tang , Zhaojun Ding , Yizhe Yang , Xuanjing Huang , Shuicheng Yan

DeeProb-kit is a unified library written in Python consisting of a collection of deep probabilistic models (DPMs) that are tractable and exact representations for the modelled probability distributions. The availability of a representative…

Machine Learning · Computer Science 2022-12-09 Lorenzo Loconte , Gennaro Gala

The increasing reliance on Large Language Models (LLMs) across various domains extends to education, where students progressively use generative AI as a tool for learning. While prior work has examined LLMs' mathematical ability, their…

Computation and Language · Computer Science 2026-01-21 Wei-Ling Hsu , Yu-Chien Tang , An-Zi Yen

This report provides an introduction to the ensmallen numerical optimization library, as well as a deep dive into the technical details of how it works. The library provides a fast and flexible C++ framework for mathematical optimization of…

Mathematical Software · Computer Science 2023-11-16 Ryan R. Curtin , Marcus Edel , Rahul Ganesh Prabhu , Suryoday Basak , Zhihao Lou , Conrad Sanderson

Machine learning solutions are very popular in the field of chemoinformatics, where they have numerous applications, such as novel drug discovery or molecular property prediction. Molecular fingerprints are algorithms commonly used for…

Quantitative Methods · Quantitative Biology 2024-04-01 Michał Szafarczyk , Piotr Ludynia , Przemysław Kukla

The chase is a sound, complete, but possibly non-terminating algorithm for reasoning with existential rules (aka. tuple-generating dependencies), a highly expressive knowledge representation language. Although the procedure appears simple,…

Logic in Computer Science · Computer Science 2026-04-27 Lukas Gerlach

This study aims to enhance the maintainability of code generated by Large Language Models (LLMs), with a focus on the Python programming language. As the use of LLMs for coding assistance grows, so do concerns about the maintainability of…

Software Engineering · Computer Science 2024-08-20 Karthik Shivashankar , Antonio Martini
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