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BACH: Path-Oriented Reachability Checker for Hybrid System Verification

Explore BACH, a tool for verifying hybrid systems using path-oriented reachability checking with bounded capabilities. Study cases and conclusions from FMCAD08.

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BACH: Path-Oriented Reachability Checker for Hybrid System Verification

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  1. Outline • Preliminary • BACH • Path-Oriented Reachability Checker • Bounded Reachability Checker • Case Study • Conclusion FMCAD08

  2. Preliminary • BACH • Path-Oriented Reachability Checker • Bounded Reachability Checker • Case Study • Conclusion FMCAD08

  3. Preliminary • Hybrid System: Systems contain both discrete and continuous components • Practical Examples: • Embedded System Controller • VLSI circuits • Linear Hybrid Automata: • Widely studied formal models for hybrid systems FMCAD08

  4. State of The Art General Reachability BMC Reachability Technique SAT+LP Tool HySAT MathSAT Limitation Encoding->Huge Formula->Memory…? • Technique • Polyhedral-Computation • Tool • HyTech • PHAVer • Limitation • Exponential Complexity FMCAD08

  5. Motivation • Path-oriented Reachability Checking By LP • Encoding: linear complexity • Solving: polynomial complexity • Depth First Search Enumeration • Online Checking: Only one path in the memory FMCAD08

  6. Preliminary • BACH • Path-Oriented Reachability Checker • Bounded Reachability Checker • Case Study • Conclusion FMCAD08

  7. BACH • LHA Reachability • Java Based Tool • Linear Programming Solver : OR-Objects. http://OpsResearch.com/OR-Objects/index.html • Available online: http://seg.nju.edu.cn/BACH/BACH.html FMCAD08

  8. BACH Structure FMCAD08

  9. BACH Functionality • Graphical LHA Editor • Reachability Checker • Path-oriented Reachability Checker • Bounded Reachability Checker FMCAD08

  10. Path-Oriented Reachability Check Water-Level Monitor Path: v0ˆv1ˆv2ˆv3ˆv4ˆv1ˆv5 • time sequence representation: (v0, t0)ˆ(v1, t1)ˆ(v2, t2)ˆ(v3, t3) ˆ(v4, t4)ˆ(v1, t5)ˆ(v5, t6) -> ti ≥ 0, t0 = 0 • location invariant encoding: y ≤ 10 in location v1 -> yv1in ≤ 10, yv1out ≤ 10, yv1in +t1 = yv1out , • transition guard encoding: y = 10 in transition e1-> yv1out = 10 • reset action encoding y := 1 in transition e0-> yv1in = 1 FMCAD08

  11. Bounded Reachability Check Water-Level Monitor Bound: 6 Target: v5 v0ˆv1 v0ˆv1ˆv2 v0ˆv1ˆv2ˆv3 v0ˆv1ˆv2ˆv3ˆv4 v0ˆv1ˆv2ˆv3ˆv4ˆv1 v0ˆv1ˆv2ˆv3ˆv4ˆv1ˆv2 v0ˆv1ˆv2ˆv3ˆv4ˆv1ˆv5 v0ˆv1ˆv5 Backtracking FMCAD08 • 2020/1/6 • 12

  12. Preliminary • BACH • Path-Oriented Reachability Checker • Bounded Reachability Checker • Case Study • Conclusion FMCAD08

  13. Case Study Water Level Monitor Temperature Controller FMCAD08

  14. Path-Oriented Reachability Check FMCAD08

  15. Bounded Reachability Check • Scalability • Performance FMCAD08

  16. Preliminary • BACH • Path-Oriented Reachability Checker • Bounded Reachability Checker • Case Study • Conclusion FMCAD08

  17. Conclusion • Convenient Tool • Graphical LHA Editor • Reachability Checker • Path-oriented Reachability Checker • Bounded Reachability Checker • Linear Programming Based Verification • Depth-First-Search Based Traverse • Good Scalability and Performance FMCAD08

  18. Thanks Q&A FMCAD08

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