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This paper presents Verisig, a hybrid system approach to verifying safety properties of closed-loop systems using neural networks as controllers. Although techniques exist for verifying input/output properties of the neural network itself,…

Systems and Control · Computer Science 2018-11-06 Radoslav Ivanov , James Weimer , Rajeev Alur , George J. Pappas , Insup Lee

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

Our objective is to design a controlled system with a simple method for discrete event systems based on Petri nets. It is possible to construct the Petri net model of a system and the specification separately. By synchronous composition of…

Information Theory · Computer Science 2009-01-28 Abbas Dideban , Hassane. Alla

We introduce the avoidance Markov metrics and theories which provide more flexibility in the design of random walk and impose new conditions on the walk to avoid (or transit) a specific node (or a set of nodes) before the stopping criteria.…

Discrete Mathematics · Computer Science 2018-07-18 Golshan Golnari , Zhi-Li Zhang , Daniel Boley

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

Reachability analysis of hybrid systems has been used as a safety verification tool to assess offline whether the state of a system is capable of remaining within a designated safe region for a given time horizon. Although it has been…

Optimization and Control · Mathematics 2014-04-24 Kendra Lesser , Meeko Oishi

Reversible computation is an unconventional form of computing that extends the standard forward-only mode of computation with the ability to execute a sequence of operations in reverse at any point during computation. As such, in this…

Logic in Computer Science · Computer Science 2021-01-19 Kyriaki Psara

Multi-pushdown systems are a standard model for concurrent recursive programs, but they have an undecidable reachability problem. Therefore, there have been several proposals to underapproximate their sets of runs so that reachability in…

Formal Languages and Automata Theory · Computer Science 2021-08-03 Aneesh K. Shetty , S. Krishna , Georg Zetzsche

Hierarchical Petri nets allow a more abstract view and reconfigurable Petri nets model dynamic structural adaptation. In this contribution we present the combination of reconfigurable Petri nets and hierarchical Petri nets yielding…

Discrete Mathematics · Computer Science 2018-02-14 Julia Padberg

We study detectability properties for labeled Petri nets and finite automata. We first study weak approximate detectability (WAD) that implies that there exists an infinite observed output sequence of the system such that each prefix of the…

Optimization and Control · Mathematics 2019-07-02 Kuize Zhang , Alessandro Giua

The basic goal of survivable network design is to build a cheap network that maintains the connectivity between given sets of nodes despite the failure of a few edges/nodes. The Connectivity Augmentation Problem (CAP) is arguably one of the…

Data Structures and Algorithms · Computer Science 2019-11-11 Jarosław Byrka , Fabrizio Grandoni , Afrouz Jabal Ameli

We propose a new method that takes advantage of structural reductions to accelerate the verification of reachability properties on Petri nets. Our approach relies on a state space abstraction, called polyhedral abstraction, which involves a…

Logic in Computer Science · Computer Science 2023-02-07 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

Vector addition systems with states (VASS) are widely used for the formal verification of concurrent systems. Given their tremendous computational complexity, practical approaches have relied on techniques such as reachability relaxations,…

Logic in Computer Science · Computer Science 2023-06-22 Michael Blondin , Mikhail Raskin

The probabilistic reachability problems of nondeterministic systems are studied. Based on the existing studies, the definition of probabilistic reachable sets is generalized by taking into account time-varying target set and obstacle. A…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Wei Liao , Taotao Liang , Xiaohui Wei , Qiaozhi Yin

Autonomous systems are increasingly implemented using end-to-end learning-based controllers. Such controllers make decisions that are executed on the real system, with images as one of the primary sensing modalities. Deep neural networks…

Machine Learning · Computer Science 2024-05-03 Yuang Geng , Jake Brandon Baldauf , Souradeep Dutta , Chao Huang , Ivan Ruchkin

In this paper, we propose a decision procedure of reachability for linear system {\xi}' = A{\xi} + u, where the matrix A's eigenvalues can be arbitrary algebraic numbers and the input u is a vector of trigonometric-exponential polynomials.…

Symbolic Computation · Computer Science 2022-04-04 Shiping Chen , Xinyu Ge

Efficient implementations of atomic objects such as concurrent stacks and queues are especially susceptible to programming errors, and necessitate automatic verification. Unfortunately their correctness criteria - linearizability with…

Logic in Computer Science · Computer Science 2015-05-26 Ahmed Bouajjani , Michael Emmi , Constantin Enea , Jad Hamza

Decision-theoretic troubleshooting is one of the areas to which Bayesian networks can be applied. Given a probabilistic model of a malfunctioning man-made device, the task is to construct a repair strategy with minimal expected cost. The…

Artificial Intelligence · Computer Science 2013-08-02 Václav Lín

Iterative imperative programs can be considered as infinite-state systems computing over possibly unbounded domains. Studying reachability in these systems is challenging as it requires to deal with an infinite number of states with…

Logic in Computer Science · Computer Science 2013-02-15 Arnaud Gotlieb , Tristan Denmat , Nadjib Lazaar

Modern traceability technologies promise to improve supply chain management by simplifying recalls, increasing visibility, or verifying sustainable supplier practices. Initiatives leading the implementation of traceability technologies must…

Optimization and Control · Mathematics 2023-09-01 Philippe Blaettchen , Andre P. Calmon , Georgina Hall
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