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Ensuring correctness is crucial for code generation. Formal verification offers a definitive assurance of correctness, but demands substantial human effort in proof construction and hence raises a pressing need for automation. The primary…

Quantifying errors and losses due to the use of Floating-Point (FP) calculations in industrial scientific computing codes is an important part of the Verification, Validation and Uncertainty Quantification (VVUQ) process. Stochastic…

Verification of programs using floating-point arithmetic is challenging on several accounts. One of the difficulties of reasoning about such programs is due to the peculiarities of floating-point arithmetic: rounding errors, infinities,…

Programming Languages · Computer Science 2022-06-23 Roberto Bagnara , Abramo Bagnara , Fabio Biselli , Michele Chiari , Roberta Gori

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

Computer programs may go wrong due to exceptional behaviors, out-of-bound array accesses, or simply coding errors. Thus, they cannot be blindly trusted. Scientific computing programs make no exception in that respect, and even bring…

Instrumenting programs for performing run-time checking of properties, such as regular shapes, is a common and useful technique that helps programmers detect incorrect program behaviors. This is specially true in dynamic languages such as…

Programming Languages · Computer Science 2018-04-09 Maximiliano Klemen , Nataliia Stulova , Pedro Lopez-Garcia , José F. Morales , Manuel V. Hermenegildo

Numerical software are widely used in safety-critical systems such as aircrafts, satellites, car engines and so on, facilitating dynamics control of such systems in real time, it is therefore absolutely necessary to verify their…

Optimization and Control · Mathematics 2018-10-30 Bai Xue , Naijun Zhan , Yangjia Li , Qiuye Wang

Backward stability is a desirable property for a well-designed numerical algorithm: given an input, a backward stable floating-point program produces the exact output for a nearby input. While automated tools for bounding the forward error…

Programming Languages · Computer Science 2026-04-20 Laura Zielinski , Justin Hsu

How to apply automated verification technology such as model checking and static program analysis to millions of lines of embedded C/C++ code? How to package this technology in a way that it can be used by software developers and engineers,…

Software Engineering · Computer Science 2013-01-03 Ralf Huuck

The paper proposes a control-theoretic framework for verification of numerical software systems, and puts forward software verification as an important application of control and systems theory. The idea is to transfer Lyapunov functions…

Systems and Control · Computer Science 2011-08-02 Mardavij Roozbehani , Alexandre Megretski , Eric Feron

Large language models possess impressive capabilities in generating programs (e.g., Python) from natural language descriptions to execute robotic tasks. However, these generated programs often contain errors that violate externally given…

Artificial Intelligence · Computer Science 2025-11-10 Yunhao Yang , Neel P. Bhatt , William Ward , Zichao Hu , Joydeep Biswas , Ufuk Topcu

Certified program synthesis (aka vericoding) is the process of automatically generating a program, its formal specification, and a machine-checkable proof of their alignment from a natural-language description. Two challenges make…

Software Engineering · Computer Science 2026-04-21 Yueyang Feng , Dipesh Kafle , Vladimir Gladshtein , Vitaly Kurin , George Pîrlea , Qiyuan Zhao , Peter Müller , Ilya Sergey

Machine learning (ML) applications have become an integral part of our lives. ML applications extensively use floating-point computation and involve very large/small numbers; thus, maintaining the numerical stability of such complex…

Software Engineering · Computer Science 2025-04-24 Shaila Sharmin , Anwar Hossain Zahid , Subhankar Bhattacharjee , Chiamaka Igwilo , Miryung Kim , Wei Le

Early identification of security issues in software development is vital to minimize their unanticipated impacts. Code review is a widely used manual analysis method that aims to uncover security issues along with other coding issues in…

Software Engineering · Computer Science 2024-07-18 Wachiraphan Charoenwet , Patanamon Thongtanunam , Van-Thuan Pham , Christoph Treude

Noisy data, non-convex objectives, model misspecification, and numerical instability can all cause undesired behaviors in machine learning systems. As a result, detecting actual implementation errors can be extremely difficult. We…

Software Engineering · Computer Science 2017-06-28 Daniel Selsam , Percy Liang , David L. Dill

Formal Property Verification (FPV), using SystemVerilog Assertions (SVA), is crucial for ensuring the completeness of design with respect to the specification. However, writing SVA is a laborious task and has a steep learning curve. In this…

Hardware Architecture · Computer Science 2024-11-26 Mohammad Shahidzadeh , Behnam Ghavami , Steve Wilton , Lesley Shannon

Neural networks are increasingly applied to support decision making in safety-critical applications (like autonomous cars, unmanned aerial vehicles and face recognition based authentication). While many impressive static verification…

Machine Learning · Computer Science 2021-05-07 Guoliang Dong , Jun Sun , Jingyi Wang , Xinyu Wang , Ting Dai

Formal specifications are crucial for building verifiable and dependable software systems, yet generating accurate and verifiable specifications for real-world C programs remains challenging. This paper presents an empirical evaluation of…

Software Engineering · Computer Science 2026-04-15 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

Cyber-physical systems (CPS) such as autonomous cars, aircraft, and robots are often also safety-critical; thus it is imperative that they operate as intended with a high degree of certainty. Formal verification has been employed to verify…

Programming Languages · Computer Science 2026-05-07 Serra Z. Dane , Jiawei Chen , Marc Pouzet , Jean-Baptiste Jeannin

Large language models can generate useful code from natural language, but their outputs come without correctness guarantees. Verifiable code generation offers a path beyond testing by requiring models to produce not only executable code,…

Software Engineering · Computer Science 2026-05-12 Zichen Xie , Mrigank Pawagi , Yuxin Liu , Aaditi Rai , Lize Shao , John Berberian , Sicong Che , Wenxi Wang