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In this paper we consider the problem of minimizing a convex function using a randomized block coordinate descent method. One of the key steps at each iteration of the algorithm is determining the update to a block of variables. Existing…

Optimization and Control · Mathematics 2014-12-11 Rachael Tappenden , Peter Richtárik , Jacek Gondzio

We present an approach to the verification of systems for whose description some elements - constants or functions - are underspecified and can be regarded as parameters, and, in particular, describe a method for automatically generating…

Logic in Computer Science · Computer Science 2023-10-30 Dennis Peuter , Philipp Marohn , Viorica Sofronie-Stokkermans

The complexity of software in embedded systems has increased significantly over the last years so that software verification now plays an important role in ensuring the overall product quality. In this context, SAT-based bounded model…

Software Engineering · Computer Science 2009-11-20 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva

Distributed protocols such as Paxos play an important role in many computer systems. Therefore, a bug in a distributed protocol may have tremendous effects. Accordingly, a lot of effort has been invested in verifying such protocols.…

Programming Languages · Computer Science 2017-10-20 Oded Padon , Giuliano Losa , Mooly Sagiv , Sharon Shoham

As software becomes more complex and assumes an even greater role in our lives, formal verification is set to become the gold standard in securing software systems into the future, since it can guarantee the absence of errors and entire…

Human-Computer Interaction · Computer Science 2021-11-17 Carolina Carreira , João F. Ferreira , Alexandra Mendes , Nicolas Christin

On the one hand, ordered completion is a fundamental technique in equational theorem proving that is employed by automated tools. On the other hand, their complexity makes such tools inherently error prone. As a remedy to this situation we…

Logic in Computer Science · Computer Science 2018-05-28 Christian Sternagel , Sarah Winkler

Despite the vast body of research literature proposing algorithms with formal guarantees, the amount of verifiable code in today's systems remains minimal. This discrepancy stems from the inherent difficulty of verifying code, particularly…

Software Engineering · Computer Science 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

Virtual integration techniques focus on building architectural models of systems that can be analyzed early in the design cycle to try to lower cost, reduce risk, and improve quality of complex embedded systems. Given appropriate…

Software Engineering · Computer Science 2015-11-18 Andreas Katis , Andrew Gacek , Michael W. Whalen

We propose a security verification framework for cryptographic protocols using machine learning. In recent years, as cryptographic protocols have become more complex, research on automatic verification techniques has been focused on. The…

Cryptography and Security · Computer Science 2023-04-27 Kentaro Ohno , Misato Nakabayashi

Program verification techniques typically focus on finding counter-examples that violate properties of a program. Constraint programming offers a convenient way to verify programs by modeling their state transformations and specifying…

Artificial Intelligence · Computer Science 2020-03-02 Heytem Zitoun , Claude Michel , Laurent Michel , Michel Rueher

Benchmarking the performance of quantum error correction codes in physical systems is crucial for achieving fault-tolerant quantum computing. Current methodologies, such as (shadow) tomography or direct fidelity estimation, fall short in…

Quantum Physics · Physics 2024-10-17 Junjie Chen , Pei Zeng , Qi Zhao , Xiongfeng Ma , You Zhou

Control systems are an integral part of almost every engineering and physical system and thus their accurate analysis is of utmost importance. Traditionally, control systems are analyzed using paper-and-pencil proof and computer simulation…

Logic in Computer Science · Computer Science 2017-07-24 Adnan Rashid , Osman Hasan

Formal verification of software is a bit of a niche activity: it is only applied to the most safety-critical or security-critical software and it is typically only performed by specialized verification engineers. This paper considers…

Logic in Computer Science · Computer Science 2020-11-02 Alastair Reid , Luke Church , Shaked Flur , Sarah de Haas , Maritza Johnson , Ben Laurie

Scientific computing programs often undergo aggressive compiler optimization to achieve high performance and efficient resource utilization. While performance is critical, we also need to ensure that these optimizations are correct. In this…

Programming Languages · Computer Science 2025-09-12 Mohit Tekriwal , John Sarracino

Neural Networks (NNs) have increasingly apparent safety implications commensurate with their proliferation in real-world applications: both unanticipated as well as adversarial misclassifications can result in fatal outcomes. As a…

Machine Learning · Computer Science 2021-04-20 Haitham Khedr , James Ferlez , Yasser Shoukry

This paper investigates the algorithmic safety verification problem of infinite-state parameterized concurrent programs over a rich set of communication topologies. The goal is to automatically produce a proof of correctness in the form of…

Logic in Computer Science · Computer Science 2026-05-15 Ruotong Cheng , Azadeh Farzan

Randomized smoothing is currently the state-of-the-art method that provides certified robustness for deep neural networks. However, due to its excessively conservative nature, this method of incomplete verification often cannot achieve an…

Machine Learning · Computer Science 2023-12-29 Bo-Han Kung , Shang-Tse Chen

Formal methods for verification of programs are extended to testing of programs. Their combination is intended to lead to benefits in reliable program development, testing, and evolution. Our geometric theory of testing is intended to serve…

Software Engineering · Computer Science 2022-06-07 Bernhard Moller , Tony Hoare , Zhe Hou , Jin Song Dong

Recent years have witnessed increasing interest in optimization proxies, i.e., machine learning models that approximate the input-output mapping of parametric optimization problems and return near-optimal feasible solutions. Following…

Optimization and Control · Mathematics 2024-06-03 Wenbo Chen , Haoruo Zhao , Mathieu Tanneau , Pascal Van Hentenryck

Microservice systems are becoming increasingly adopted due to their scalability, decentralized development, and support for continuous integration and delivery (CI/CD). However, this decentralized development by separate teams and…

Software Engineering · Computer Science 2025-12-01 Connor Wojtak , Darek Gajewski , Tomas Cerny