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Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

Arguments about the safety, security, and correctness of a complex system are often made in the form of an assurance case. An assurance case is a structured argument, often represented with a graphical interface, that presents and supports…

Software Engineering · Computer Science 2014-09-17 Andrew Gacek , John Backes , Darren Cofer , Konrad Slind , Mike Whalen

Robustness is key to engineering, automation, and science as a whole. However, the property of robustness is often underpinned by costly requirements such as over-provisioning, known uncertainty and predictive models, and known adversaries.…

Robotics · Computer Science 2021-09-28 Amanda Prorok , Matthew Malencia , Luca Carlone , Gaurav S. Sukhatme , Brian M. Sadler , Vijay Kumar

Logical specifications are widely used to represent software systems and their desired properties. Under system degradation or environmental changes, commonly seen in complex real-world robotic systems, these properties may no longer hold…

Logic in Computer Science · Computer Science 2025-10-20 Ben M. Andrew

We present knowledge continuity, a novel definition inspired by Lipschitz continuity which aims to certify the robustness of neural networks across input domains (such as continuous and discrete domains in vision and language,…

Machine Learning · Computer Science 2024-11-05 Alan Sun , Chiyu Ma , Kenneth Ge , Soroush Vosoughi

We consider the notion of resilience for cyber-physical systems, that is, the ability of the system to withstand adverse events while maintaining acceptable functionality. We use finite temporal logic to express the requirements on the…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Adnane Saoud , Pushpak Jagtap , Sadegh Soudjani

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2022-05-17 Colin S. Gordon , Sergey Matskevich

This paper presents a language-independent proof system for reachability properties of programs written in non-deterministic (e.g., concurrent) languages, referred to as all-path reachability logic. It derives partial-correctness properties…

Programming Languages · Computer Science 2023-06-22 Andrei Stefanescu , Stefan Ciobaca , Radu Mereuta , Brandon Moore , Traian Florin Serbanuta , Grigore Rosu

Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition,…

Optimization and Control · Mathematics 2019-09-18 Saman Cyrus , Laurent Lessard

ML models are typically trained using large datasets of high quality. However, training datasets often contain inconsistent or incomplete data. To tackle this issue, one solution is to develop algorithms that can check whether a prediction…

Machine Learning · Computer Science 2022-01-19 Austen Z. Fan , Paraschos Koutris

Software reliability is an important quality attrib-ute, often evaluated as either a function of time or of system structures. The goal of this study is to have this metric cover both for component-based software, be-cause its reliability…

Software Engineering · Computer Science 2007-05-23 Wen-Li Wang , Mei-Huei Tang

Robust optimization is a method for optimization under uncertainties in engineering systems and designs for applications ranging from aeronautics to nuclear. In a robust design process, parameter variability (or uncertainty) is incorporated…

Computation · Statistics 2022-10-17 Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

A central challenge in mechanism design is to identify mechanisms whose performance is robust under uncertainty about the environment. The maxmin optimality criterion is commonly used for this purpose, but it often yields a large and…

Theoretical Economics · Economics 2026-04-08 Ashwin Kambhampati

We study the generalization abilities of language models when translating natural language into formal specifications with complex semantics. In particular, we fine-tune language models on three datasets consisting of English sentences and…

Software Engineering · Computer Science 2022-10-21 Christopher Hahn , Frederik Schmitt , Julia J. Tillman , Niklas Metzger , Julian Siber , Bernd Finkbeiner

In learning problems, the noise inherent to the task at hand hinders the possibility to infer without a certain degree of uncertainty. Quantifying this uncertainty, regardless of its wide use, assumes high relevance for security-sensitive…

This paper presents a simple generalization of causal consistency suited to any object defined by a sequential specification. As causality is captured by a partial order on the set of operations issued by the processes on shared objects…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-05 Achour Mostéfaoui , Matthieu Perrin , Michel Raynal

Logic has proved essential for formally modeling software based systems. Such formal descriptions, frequently called specifications, have served not only as requirements documentation and formalisation, but also for providing the…

Logic in Computer Science · Computer Science 2021-07-20 Carlos G. Lopez Pombo , Thomas S. E. Maibaum

Deep Learning NLP domain lacks procedures for the analysis of model robustness. In this paper we propose a framework which validates robustness of any Question Answering model through model explainers. We propose that a robust model should…

Computation and Language · Computer Science 2018-12-07 Barbara Rychalska , Dominika Basaj , Przemyslaw Biecek

The robustness of classifiers has become a question of paramount importance in the past few years. Indeed, it has been shown that state-of-the-art deep learning architectures can easily be fooled with imperceptible changes to their inputs.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Théo Giraudon , Vincent Gripon , Matthias Löwe , Franck Vermet