dReach: δ-Reachability Analysis for Hybrid Systems

@inproceedings{Kong2015dReachA,
  title={dReach: $\delta$-Reachability Analysis for Hybrid Systems},
  author={Soonho Kong and Sicun Gao and Wei Chen and Edmund M. Clarke},
  booktitle={International Conference on Tools and Algorithms for Construction and Analysis of Systems},
  year={2015}
}
dReach is a bounded reachability analysis tool for nonlinear hybrid systems. It encodes reachability problems of hybrid systems to first-order formulas over real numbers, which are solved by delta-decision procedures in the SMT solver dReach. In this way, dReach is able to handle a wide range of highly nonlinear hybrid systems. It has scaled well on various realistic models from biomedical and robotics applications. 

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References

SHOWING 1-10 OF 17 REFERENCES

Delta-Complete Analysis for Bounded Reachability of Hybrid Systems

The framework of delta-complete analysis for bounded reachability problems of general hybrid systems is presented and it is proved that the verification problems become much more mathematically tractable in this new framework.

Reachability Analysis of Nonlinear Differential-Algebraic Systems

The procedure computes reachable sets for uncertain initial states and inputs in an overapproximative way, i.e. it is guaranteed that all possible trajectories of the system are enclosed, and can be used for formal verification of system properties that can be specified in the state space as unsafe or goal regions.

SpaceEx: Scalable Verification of Hybrid Systems

We present a scalable reachability algorithm for hybrid systems with piecewise affine, non-deterministic dynamics. It combines polyhedra and support function representations of continuous sets to

Satisfiability modulo ODEs

δ-complete algorithms for SMT formulas that are purely existentially quantified, as well as ∃∀-formulas whose universal quantification is restricted to the time variables are developed.

Analysis of Hybrid Systems Using HySAT

In this paper we describe the complete workflow of analyzing the dynamic behavior of safety-critical embedded systems with HySAT. HySAT is an arithmetic constraint solver with a tightly integrated

Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems

This work presents two semidecision procedures for verifying safety properties of piecewiselinear hybrid automata, in which all variables change at constant rates, and demonstrates that for many of the typical workshop examples, the procedures do terminate and thus provide an automatic way for verifying their properties.

Parameter Identification Using δ-Decisions for Biological Hybrid Systems

This work presents a parameter identification framework for biological hybrid systems using δ-complete decision procedures, which can solve satisfiability modulo theories (SMT) problems over the reals with a wide range of nonlinear functions, including ordinary differential equations (ODEs).

SMT-Based Verification of Hybrid Systems

This paper surveys the recent advances in the application of Satisfiability Modulo Theories (SMT) to the analysis of hybrid automata networks.

Verifying robust frequency domain properties of non linear oscillators using SMT

  • H. AsadK. JonesF. Surre
  • Computer Science, Mathematics
    17th International Symposium on Design and Diagnostics of Electronic Circuits & Systems
  • 2014
This work uses SAT modulo ODE for Bounded Model Checking (BMC) of the non-linear hybrid automata and shows that the oscillator hybrid timed traces satisfy frequency domain specifications.