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In this paper, we propose a data-driven reachability analysis approach for unknown system dynamics. Reachability analysis is an essential tool for guaranteeing safety properties. However, most current reachability analysis heavily relies on…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Amr Alanwar , Anne Koch , Frank Allgöwer , Karl Henrik Johansson

The next generation of aircraft collision avoidance systems frame the problem as a Markov decision process and use dynamic programming to optimize the alerting logic. The resulting system uses a large lookup table to determine advisories…

Systems and Control · Computer Science 2019-03-05 Kyle D. Julian , Shivam Sharma , Jean-Baptiste Jeannin , Mykel J. Kochenderfer

Reachability analysis is a key formal verification technique for ensuring the safety of modern cyber physical systems subject to uncertainties in measurements, system models (parameters), and inputs. Classical model-based approaches rely on…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Alireza Naderi Akhormeh , Amr Hegazy , Amr Alanwar

Scientists use mathematical modelling to understand and predict the properties of complex physical systems. In highly parameterised models there often exist relationships between parameters over which model predictions are identical, or…

Data Analysis, Statistics and Probability · Physics 2017-03-24 Dhruva V. Raman , James Anderson , Antonis Papachristodoulou

In parametric lock-sharing systems processes can spawn new processes to run in parallel, and can create new locks. The behavior of every process is given by a pushdown automaton. We consider infinite behaviors of such systems under strong…

Logic in Computer Science · Computer Science 2023-07-12 Corto Mascle , Anca Muscholl , Igor Walukiewicz

As the size and complexity of a quantum computer increases, quantum bit (qubit) characterization and gate optimization become complex and time-consuming tasks. Current calibration techniques require complicated and verbose measurements to…

To achieve reliable, robust, and safe AI systems, it is vital to implement fallback strategies when AI predictions cannot be trusted. Certifiers for neural networks are a reliable way to check the robustness of these predictions. They…

Machine Learning · Computer Science 2023-10-04 Tobias Lorenz , Marta Kwiatkowska , Mario Fritz

IC3, a well-known model checker, proves a property of a transition system by building a sequence of formulas $F_0,\dots,F_k$. Formula $F_i$, $0 \leq i \leq k$ over-approximates the set of states reachable in at most $i$ transitions. The…

Logic in Computer Science · Computer Science 2018-10-19 Eugene Goldberg

We study the problem of satisfiability of randomly chosen clauses, each with K Boolean variables. Using the cavity method at zero temperature, we find the phase diagram for the K=3 case. We show the existence of an intermediate phase in the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Mezard , Riccardo Zecchina

Property Directed Reachability (PDR) is a widely used technique for formal verification of hardware and software systems. This paper presents an incremental version of PDR (IPDR), which enables the automatic verification of system instances…

Symbolic Computation · Computer Science 2023-08-24 Max Blankestijn , Alfons Laarman

Hybrid systems - more precisely, their mathematical models - can exhibit behaviors, like Zeno behaviors, that are absent in purely discrete or purely continuous systems. First, we observe that, in this context, the usual definition of…

Logic in Computer Science · Computer Science 2018-09-05 Eugenio Moggi , Amin Farjudian , Adam Duracz , Walid Taha

The vulnerability of artificial intelligence (AI) and machine learning (ML) against adversarial disturbances and attacks significantly restricts their applicability in safety-critical systems including cyber-physical systems (CPS) equipped…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Weiming Xiang , Hoang-Dung Tran , Xiaodong Yang , Taylor T. Johnson

A shortcoming of existing reachability approaches for nonlinear systems is the poor scalability with the number of continuous state variables. To mitigate this problem we present a simulation-based approach where we first sample a number of…

Systems and Control · Computer Science 2017-09-21 Murat Arcak , John Maidens

In this paper we study possibilities of using hierarchical reasoning, symbol elimination and model generation for the verification of parametric systems, where the parameters can be constants or functions. Our goal is to automatically…

Logic in Computer Science · Computer Science 2019-10-14 Viorica Sofronie-Stokkermans

Neural networks are now extensively used in perception, prediction and control of autonomous systems. Their deployment in safety-critical systems brings forth the need for verification techniques for such networks. As an alternative to…

Artificial Intelligence · Computer Science 2021-04-27 Moumita Das , Rajarshi Ray , Swarup Kumar Mohalik , Ansuman Banerjee

Gate model quantum computers with too many qubits to be simulated by available classical computers are about to arrive. We present a strategy for programming these devices without error correction or compilation. This means that the number…

Quantum Physics · Physics 2017-03-21 E. Farhi , J. Goldstone , S. Gutmann , H. Neven

In this paper, we consider the problem of scheduling an application on a parallel computational platform. The application is a particular task graph, either a linear chain of tasks, or a set of independent tasks. The platform is made of…

Data Structures and Algorithms · Computer Science 2012-10-18 Guillaume Aupy , Anne Benoit

In this paper, we revisit the formal verification problem for stochastic dynamical systems over finite horizon using barrier certificates. Most existing work on this topic focuses on safety properties by constructing barrier certificates…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Yu Chen , Shaoyuan Li , Xiang Yin

Ransomware poses a significant threat to individuals and organisations, compelling tools to investigate its behaviour and the effectiveness of mitigations. To answer this need, we present SAFARI, an open-source framework designed for safe…

Cryptography and Security · Computer Science 2025-04-11 Tommaso Compagnucci , Franco Callegati , Saverio Giallorenzo , Andrea Melis , Simone Melloni , Alessandro Vannini

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has methods for direct construction of value functions that…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Jason J. Choi , Donggun Lee , Koushil Sreenath , Claire J. Tomlin , Sylvia L. Herbert