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ProbReach: verified probabilistic delta-reachability for stochastic hybrid systems

Authors:

Fedor Shmarov,

Paolo ZulianiAuthors Info & Claims

HSCC '15: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control

Pages 134 - 139

https://doi.org/10.1145/2728606.2728625

Published: 14 April 2015 Publication History

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Abstract

We present ProbReach, a tool for verifying probabilistic reachability for stochastic hybrid systems, i.e., computing the probability that the system reaches an unsafe region of the state space. In particular, ProbReach will compute an arbitrarily small interval which is guaranteed to contain the required probability. Standard (non-probabilistic) reachability is undecidable even for linear hybrid systems. In ProbReach we adopt the weaker notion of delta-reachability, in which the unsafe region is overapproximated by a user-defined parameter (delta). This choice leads to false alarms, but also makes the reachability problem decidable for virtually any hybrid system. In ProbReach we have implemented a probabilistic version of delta-reachability that is suited for hybrid systems whose stochastic behaviour is given in terms of random initial conditions. In this paper we introduce the capabilities of ProbReach, give an overview of the parallel implementation, and present results for several benchmarks involving highly non-linear hybrid systems.

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ProbReach: verified probabilistic delta-reachability for stochastic hybrid systems

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Published In

HSCC '15: Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control

April 2015

321 pages

ISBN:9781450334334

DOI:10.1145/2728606

Program Chairs:
Antoine Girard
Université Joseph Fourier, Grenoble, France
,
Sriram Sankaranarayanan
University of Colorado at Boulder

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 14 April 2015

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HSCC '15: 18th International Conference on Hybrid Systems: Computation and Control

April 14 - 16, 2015

Washington, Seattle

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https://dl.acm.org/doi/10.1016/j.ijar.2023.109044
Lal RPrabhakar P(2024)Verification of Parametric Properties of Linear Discrete-time Stochastic SystemsIFAC-PapersOnLine10.1016/j.ifacol.2024.07.44758:11(195-200)Online publication date: 2024
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Niehage MRemke A(2024)The Best of Both Worlds: Analytically-Guided Simulation of HPnGs for Optimal ReachabilityPerformance Evaluation Methodologies and Tools10.1007/978-3-031-48885-6_5(61-81)Online publication date: 3-Jan-2024
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Bayesian statistical model checking with application to Simulink/Stateflow verification

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Bayesian statistical model checking with application to Simulink/Stateflow verification

Repairing Errors in PRISM Programs Using Probabilistic Abduction Reasoning

Two CEGAR-based approaches for the safety verification of PLC-controlled plants

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