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Related papers: Floating-Point Usage on GitHub: A Large-Scale Stud…

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Floating-point arithmetic is error-prone and unintuitive. Floating-point debuggers instrument programs to monitor floating-point arithmetic at run time and flag numerical issues. They estimate residues, i.e., the difference between actual…

Mathematical Software · Computer Science 2026-04-09 Yumeng He , Pavel Panchekha

Recently, the large language models (LLMs) have shown extraordinary ability in understanding natural language and generating programming code. It has been a common practice of software engineers to consult LLMs when encountering coding…

Computation and Language · Computer Science 2024-01-30 Li Zhong , Zilong Wang

Millions of developers share their code on open-source platforms like GitHub, which offer social coding opportunities such as distributed collaboration and popularity-based ranking. Software engineering researchers have joined in as well,…

Software Engineering · Computer Science 2024-04-08 Kamel Alrashedy , Ahmed Binjahlan

Programming assistants powered by large language models have improved dramatically, yet existing benchmarks still evaluate them in narrow code-generation settings. Recent efforts such as InfiBench and StackEval rely on Stack Overflow…

Software Engineering · Computer Science 2026-01-16 Myeongsoo Kim , Shweta Garg , Baishakhi Ray , Varun Kumar , Anoop Deoras

Algorithms operating on real numbers are implemented as floating-point computations in practice, but floating-point operations introduce roundoff errors that can degrade the accuracy of the result. We propose $\Lambda_{num}$, a functional…

Programming Languages · Computer Science 2025-04-10 Ariel E. Kellison , Justin Hsu

Effective evaluation of multi-hop tool use is critical for analyzing the understanding, reasoning, and function-calling capabilities of large language models (LLMs). However, progress has been hindered by a lack of reliable evaluation…

Computation and Language · Computer Science 2025-05-21 Junjie Ye , Zhengyin Du , Xuesong Yao , Weijian Lin , Yufei Xu , Zehui Chen , Zaiyuan Wang , Sining Zhu , Zhiheng Xi , Siyu Yuan , Tao Gui , Qi Zhang , Xuanjing Huang , Jiecao Chen

State-of-the-art static analysis tools for verifying finite-precision code compute worst-case absolute error bounds on numerical errors. These are, however, often not a good estimate of accuracy as they do not take into account the…

Programming Languages · Computer Science 2017-08-07 Anastasiia Izycheva , Eva Darulova

The increasing computational and memory demands of large language models (LLMs) necessitate innovative approaches to optimize resource usage without compromising performance. This paper leverages microscaling floating-point formats, a novel…

Neural and Evolutionary Computing · Computer Science 2025-10-03 Marco Cococcioni , Dario Pagani , Federico Rossi

Computing students increasingly rely on generative AI tools for programming assistance, often without formal instruction or guidance. This highlights a need to teach students how to effectively interact with AI models, particularly through…

Computers and Society · Computer Science 2025-09-15 Victor-Alexandru Pădurean , Paul Denny , Alkis Gotovos , Adish Singla

The design of embedded control systems is mainly done with model-based tools such as Matlab/Simulink. Numerical simulation is the central technique of development and verification of such tools. Floating-point arithmetic, that is well-known…

Programming Languages · Computer Science 2015-05-18 Alexandre Chapoutot

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

Besides a git-based version control system, GitHub integrates several social coding features. Particularly, GitHub users can star a repository, presumably to manifest interest or satisfaction with an open source project. However, the real…

Software Engineering · Computer Science 2019-03-20 Hudson Borges , Marco Tulio Valente

Prior research has extensively studied flaky tests in various domains, such as web applications, mobile applications, and other open-source projects in a range of multiple programing languages, including Java, Javascript, Python, Ruby, and…

Software Engineering · Computer Science 2025-02-06 Tom Schroeder , Minh Phan , Yang Chen

Mathematical reasoning is a cornerstone of artificial general intelligence and a primary benchmark for evaluating the capabilities of Large Language Models (LLMs). While state-of-the-art models show promise, they often falter when faced…

Computation and Language · Computer Science 2025-07-29 Yifan Hao , Fangning Chao , Yaqian Hao , Zhaojun Cui , Huan Bai , Haiyu Zhang , Yankai Liu , Chao Deng , Junlan Feng

GitHub, renowned for facilitating collaborative code version control and software production in software teams, expanded its services in 2017 by introducing GitHub Marketplace. This online platform hosts automation tools to assist…

Software Engineering · Computer Science 2024-07-09 SK Golam Saroar , Waseefa Ahmed , Elmira Onagh , Maleknaz Nayebi

Deductive verification has been successful in verifying interesting properties of real-world programs. One notable gap is the limited support for floating-point reasoning. This is unfortunate, as floating-point arithmetic is particularly…

Programming Languages · Computer Science 2021-01-22 Rosa Abbasi Boroujeni , Jonas Schiffl , Eva Darulova , Mattias Ulbrich , Wolfgang Ahrendt

The study addresses the problem of precision in floating-point (FP) computations. A method for estimating the errors which affect intermediate and final results is proposed and a summary of many software simulations is discussed. The basic…

Numerical Analysis · Computer Science 2012-01-31 Glauco Masotti

We provide tools to help automate the error analysis of algorithms that evaluate simple functions over the floating-point numbers. The aim is to obtain tight relative error bounds for these algorithms, expressed as a function of the unit…

Numerical Analysis · Mathematics 2024-05-07 Jean-Michel Muller , Bruno Salvy

Large language models are increasingly capable at closed-world mathematical reasoning, but research assistance also requires source-grounded use of the literature. When a proof reaches a non-trivial step, a useful assistant should determine…

Artificial Intelligence · Computer Science 2026-05-12 Zicheng Lyu , Wenjie Yang , Shengzhong Zhang , Zengfeng Huang

The choice of programming language is a very important decision as it not only affects the performance and maintainability of the software but also dictates the talent pool and community support available. To better understand the…

Software Engineering · Computer Science 2020-06-03 Samarth Tambad , Rohit Nandwani , Suzanne K. McIntosh