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Real-Time Systems, COSC-4301-01, Lecture 18

Real-Time Systems, COSC-4301-01, Lecture 18. Stefan Andrei. Reminder of the last lecture. Model checking of finite-state systems. Overview of This Lecture. Symbolic model checking of finite-state systems (Ordered) Binary Decision Diagrams. Boolean functions.

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Real-Time Systems, COSC-4301-01, Lecture 18

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  1. Real-Time Systems, COSC-4301-01, Lecture 18 Stefan Andrei COSC-4301-01, Lecture 18

  2. Reminder of the last lecture • Model checking of finite-state systems COSC-4301-01, Lecture 18

  3. Overview of This Lecture • Symbolic model checking of finite-state systems • (Ordered) Binary Decision Diagrams COSC-4301-01, Lecture 18

  4. Boolean functions COSC-4301-01, Lecture 18

  5. Representing boolean functions COSC-4301-01, Lecture 18

  6. Binary decision trees COSC-4301-01, Lecture 18

  7. Problems COSC-4301-01, Lecture 18

  8. Binary decision diagrams (BDDs) COSC-4301-01, Lecture 18

  9. Reduction rules COSC-4301-01, Lecture 18

  10. Reduction rules (cont) COSC-4301-01, Lecture 18

  11. Variable ordering COSC-4301-01, Lecture 18

  12. Summary of reduction rules COSC-4301-01, Lecture 18

  13. Operations on BDDs COSC-4301-01, Lecture 18

  14. Predicates COSC-4301-01, Lecture 18

  15. Equivalence of functions COSC-4301-01, Lecture 18

  16. Operations COSC-4301-01, Lecture 18

  17. Ordered BDDs (OBDDs) COSC-4301-01, Lecture 18

  18. Properties of OBBDs COSC-4301-01, Lecture 18

  19. Properties of reduced OBBDs COSC-4301-01, Lecture 18

  20. Properties of reduced OBBDs (cont) COSC-4301-01, Lecture 18

  21. OBBDs and variable ordering COSC-4301-01, Lecture 18

  22. Reduction for OBDDs COSC-4301-01, Lecture 18

  23. Labeling algorithm COSC-4301-01, Lecture 18

  24. Labeling algorithm COSC-4301-01, Lecture 18

  25. Complexity COSC-4301-01, Lecture 18

  26. Summary • Symbolic model checking of finite-state systems • (Ordered) Binary Decision Diagrams COSC-4301-01, Lecture 18

  27. Reading suggestions • Chapter 4 of [Cheng; 2002] • Chapter 6 of [Huth and Ryan; 2004], where this is: • M. Huth and M. Ryan: Logic in Computer Science. Modelling and Reasoning about Systems. Cambridge University Press, 2004, ISBN 978-0521-543101 COSC-4301-01, Lecture 18

  28. Coming up next • Visual formalism, statecharts, and STATEMATE (Chapter 5 of [Cheng; 2002]) COSC-4301-01, Lecture 18

  29. Thank you for your attention!Questions? COSC-4301-01, Lecture 18

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