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SReach: A Probabilistic Bounded Delta-Reachability Analyzer for Stochastic Hybrid Systems

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Computational Methods in Systems Biology (CMSB 2015)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 9308))

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Abstract

In this paper, we present a new tool SReach, which solves probabilistic bounded reachability problems for two classes of models of stochastic hybrid systems. The first one is (nonlinear) hybrid automata with parametric uncertainty. The second one is probabilistic hybrid automata with additional randomness for both transition probabilities and variable resets. Standard approaches to reachability problems for linear hybrid systems require numerical solutions for large optimization problems, and become infeasible for systems involving both nonlinear dynamics over the reals and stochasticity. SReach encodes stochastic information by using a set of introduced random variables, and combines \(\delta \)-complete decision procedures and statistical tests to solve \(\delta \)-reachability problems in a sound manner. Compared to standard simulation-based methods, it supports non-deterministic branching, increases the coverage of simulation, and avoids the zero-crossing problem. We demonstrate SReach’s applicability by discussing three representative biological models and additional benchmarks for nonlinear hybrid systems with multiple probabilistic system parameters.

This research was sponsored by the Air Force Office of Scientific Research (FA9550-12-1-0146) and the Office of Naval Research (N000141310090).

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Authors and Affiliations

  1. Computer Science Department, Carnegie Mellon University, Pittsburgh, USA

    Qinsi Wang, Soonho Kong & Edmund M. Clarke

  2. School of Computing Science, Newcastle University, Newcastle upon Tyne, UK

    Paolo Zuliani

  3. CSAIL, Massachusetts Institute of Technology, Cambridge, USA

    Sicun Gao

Authors
  1. Qinsi Wang
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  2. Paolo Zuliani
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  3. Soonho Kong
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  4. Sicun Gao
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  5. Edmund M. Clarke
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Corresponding author

Correspondence to Qinsi Wang .

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Editors and Affiliations

  1. École Centrale de Nantes, Nantes, France

    Olivier Roux

  2. Université de Nantes, Nantes, France

    Jérémie Bourdon

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Wang, Q., Zuliani, P., Kong, S., Gao, S., Clarke, E.M. (2015). SReach: A Probabilistic Bounded Delta-Reachability Analyzer for Stochastic Hybrid Systems. In: Roux, O., Bourdon, J. (eds) Computational Methods in Systems Biology. CMSB 2015. Lecture Notes in Computer Science(), vol 9308. Springer, Cham. https://doi.org/10.1007/978-3-319-23401-4_3

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  • DOI: https://doi.org/10.1007/978-3-319-23401-4_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23400-7

  • Online ISBN: 978-3-319-23401-4

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