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Simulation-based verification algorithms can provide formal safety guarantees for nonlinear and hybrid systems. The previous algorithms rely on user provided model annotations called discrepancy function, which are crucial for computing…

Systems and Control · Computer Science 2015-02-09 Chuchu Fan , Sayan Mitra

In this paper, we develop a compositional approach to abstraction and safety synthesis for a general class of discrete time nonlinear systems. Our approach makes it possible to define a symbolic abstraction by composing a set of symbolic…

Systems and Control · Computer Science 2021-04-09 Pierre-Jean Meyer , Antoine Girard , Emmanuel Witrant

In this paper, we present a contraction-guided adaptive partitioning algorithm for improving interval-valued robust reachable set estimates in a nonlinear feedback loop with a neural network controller and disturbances. Based on an estimate…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

A symmetry of a dynamical system is a map that transforms one trajectory to another trajectory. We introduce a new type of abstraction for hybrid automata based on symmetries. The abstraction combines different modes in a concrete automaton…

Systems and Control · Electrical Eng. & Systems 2020-06-18 Hussein Sibai , Sayan Mitra

We propose an abstraction-based model checking method which relies on refinement of an under-approximation of the feasible behaviors of the system under analysis. The method preserves errors to safety properties, since all analyzed…

Computer Science and Game Theory · Computer Science 2017-01-11 Corina S. Pasareanu , Radek Pelanek , Willem Visser

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

Scalable and automatic formal verification for concurrent systems is always demanding. In this paper, we propose a verification framework to support automated compositional reasoning for concurrent programs with shared variables. Our…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Fuyuan Zhang , Yongwang Zhao , David Sanan , Yang Liu , Alwen Tiu , Shang-Wei Lin , Jun Sun

We address the safety verification and synthesis problems for real-time systems. We introduce real-time programs that are made of instructions that can perform assignments to discrete and real-valued variables. They are general enough to…

Formal Languages and Automata Theory · Computer Science 2020-07-24 Franck Cassez , Peter Gjøl Jensen , Kim Guldstrand Larsen

Reachability analysis, in general, is a fundamental method that supports formally-correct synthesis, robust model predictive control, set-based observers, fault detection, invariant computation, and conformance checking, to name but a few.…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Niklas Kochdumper , Bastian Schürmann , Matthias Althoff

This paper presents a control synthesis algorithm for dynamical systems to satisfy specifications given in a fragment of linear temporal logic. It is based on an abstraction-refinement scheme with nonuniform partitions of the state space. A…

Systems and Control · Computer Science 2018-04-13 Oscar Lindvall Bulancea , Petter Nilsson , Necmiye Ozay

Forward reachability analysis is a dominant approach for verifying reach-avoid specifications in neural feedback systems, i.e., dynamical systems controlled by neural networks, and a number of directions have been proposed and studied. In…

Artificial Intelligence · Computer Science 2026-03-24 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

Approximating the set of reachable states of a dynamical system is an algorithmic yet mathematically rigorous way to reason about its safety. Although progress has been made in the development of efficient algorithms for affine dynamical…

Systems and Control · Computer Science 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Andreas Podelski , Christian Schilling , Frédéric Viry

We present abstraction-refinement algorithms for model checking safety properties of timed automata. The abstraction domain we consider abstracts away zones by restricting the set of clock constraints that can be used to define them, while…

Formal Languages and Automata Theory · Computer Science 2019-05-27 Victor Roussanaly , Ocan Sankur , Nicolas Markey

This paper presents the design of a novel distributed algorithm d-IRA for the reachability analysis of linear hybrid automata. Recent work on iterative relaxation abstraction (IRA) is leveraged to distribute the computational problem among…

Logic in Computer Science · Computer Science 2007-10-22 Sumit Kumar Jha

How to effectively and reliably guarantee the correct functioning of safety-critical cyber-physical systems in uncertain conditions is a challenging problem. This paper presents a data-driven algorithm to derive approximate abstractions for…

Systems and Control · Computer Science 2018-02-01 Gang Chen , Zhaodan Kong

We describe a set of lower-level abstractions to improve performance on modern large scale heterogeneous systems. These provide portable access to system- and hardware-dependent features, automatically apply dynamic optimizations at run…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-07 Erik Schnetter

Automatic sample identification (ASID), the detection and identification of portions of audio recordings that have been reused in new musical works, is an essential but challenging task in the field of audio query-based retrieval. While a…

Sound · Computer Science 2025-06-23 Aditya Bhattacharjee , Ivan Meresman Higgs , Mark Sandler , Emmanouil Benetos

This paper presents a novel set of algorithms for heap abstraction, identifying logically related regions of the heap. The targeted regions include objects that are part of the same component structure (recursive data structure). The result…

Logic in Computer Science · Computer Science 2012-12-21 Mohamed A. El-Zawawy

This paper presents an approach to more efficient partial order reduction for model checking concurrent systems. This approach utilizes a compositional reachability analysis to generate over-approximate local state transition models for all…

Software Engineering · Computer Science 2020-05-01 Hao Zheng , Yingying Zhang , Chris Myers

Hybrid Rebeca is a modeling framework for asynchronous event-based cyber-physical systems (CPSs). In this work, we extend Hybrid Rebeca to allow the modeling of non-deterministic time behavior. Besides the syntactical extension, we…

Formal Languages and Automata Theory · Computer Science 2025-03-11 Fatemeh Ghassemi , Saeed Zhiany , Nesa Abbasimoghadam , Ali Hodaei , Ali Ataollahi , József Kovács , Erika Ábrahám , Marjan Sirjani