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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