Abstraction Engineering with the Prototype Verification System (PVS) - Introduction to Interactive Theorem Proving

Abstraction Engineering with the Prototype Verification System (PVS) - Introduction to Interactive Theorem Proving

Topos Institute via YouTube Direct link

Group Homomorphism

22 of 26

22 of 26

Group Homomorphism

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Classroom Contents

Abstraction Engineering with the Prototype Verification System (PVS) - Introduction to Interactive Theorem Proving

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  1. 1 Introduction
  2. 2 Abstraction Engineering
  3. 3 Modern Software Stack
  4. 4 Classes of Abstractions
  5. 5 PBS
  6. 6 PBS Development
  7. 7 PBS Timeline
  8. 8 Formalism
  9. 9 PBS Libraries
  10. 10 Subtyping
  11. 11 Partial Functions
  12. 12 PVS Language
  13. 13 Expressions
  14. 14 Rounding
  15. 15 Theory of Functions
  16. 16 Proof Obligation Generation
  17. 17 Proof Application
  18. 18 Finding Bugs
  19. 19 Weaponizing Subtyping
  20. 20 Dependent Record
  21. 21 Tasky Translate Theorem
  22. 22 Group Homomorphism
  23. 23 Standalone executable code
  24. 24 PBS features
  25. 25 Conclusion
  26. 26 VS Code

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