HM Logic with Recursion <ul><ul><li>Mayank Pandey </li></ul></ul><ul><ul><li>Motilal Nehru National Institute of Technolog...
Verifying Reactive Systems
Verifying Reactive Systems
Verifying Reactive Systems
Power of HM Logic
Power of HM Logic
Power of HM Logic
Temporal Properties: Can’t be expressed
Temporal Properties: Can’t be expressed
Temporal Properties: Can’t be expressed
Solution:
Solution:
Solution:
Solving Equations:
Solving Equations:
Solving Equations:
The Lattice theory
The Lattice theory
Supremum and Infimum
Supremum and Infimum
Complete Lattice and monotonic functions
Complete Lattice and monotonic functions
Tarski’s Theorem
Tarski’s Theorem
Computing Fixed Points
Computing Fixed Points
Computing Fixed Point
HM Logic: Denotational Semantics
The Correspondence Theorem
Image Finite LTS
HM Logic and Strong Bisimilarity
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Lecture 9

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Lecture 9

  1. 1. HM Logic with Recursion <ul><ul><li>Mayank Pandey </li></ul></ul><ul><ul><li>Motilal Nehru National Institute of Technology, </li></ul></ul><ul><ul><li>Allahabad, Uttar Pradesh, India </li></ul></ul>
  2. 2. Verifying Reactive Systems
  3. 3. Verifying Reactive Systems
  4. 4. Verifying Reactive Systems
  5. 5. Power of HM Logic
  6. 6. Power of HM Logic
  7. 7. Power of HM Logic
  8. 8. Temporal Properties: Can’t be expressed
  9. 9. Temporal Properties: Can’t be expressed
  10. 10. Temporal Properties: Can’t be expressed
  11. 11. Solution:
  12. 12. Solution:
  13. 13. Solution:
  14. 14. Solving Equations:
  15. 15. Solving Equations:
  16. 16. Solving Equations:
  17. 17. The Lattice theory
  18. 18. The Lattice theory
  19. 19. Supremum and Infimum
  20. 20. Supremum and Infimum
  21. 21. Complete Lattice and monotonic functions
  22. 22. Complete Lattice and monotonic functions
  23. 23. Tarski’s Theorem
  24. 24. Tarski’s Theorem
  25. 25. Computing Fixed Points
  26. 26. Computing Fixed Points
  27. 27. Computing Fixed Point
  28. 28. HM Logic: Denotational Semantics
  29. 29. The Correspondence Theorem
  30. 30. Image Finite LTS
  31. 31. HM Logic and Strong Bisimilarity
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