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Majority voting

Majority voting. Mehrdad Mahdavi 83206054. Winning an election. Predicates:. ( s trict m ajority). ( e xists m ajority). ( c onditional m ajority). Abstract program :. A straightforward attempt. Disjunction inherent. using. (i). (ii). First refinement. (i).

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Majority voting

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  1. Majority voting Mehrdad Mahdavi 83206054

  2. Winning an election Predicates: (strict majority) (exists majority) (conditional majority) Abstract program :

  3. A straightforward attempt

  4. Disjunction inherent using (i) (ii)

  5. First refinement (i) If there is no majority is a as i, then the only possible maj . In as (i+1) is as[i]

  6. Introduction count c

  7. A Second attemp is faster

  8. Define variable

  9. Refine…

  10. Count c

  11. Linear Time Code

  12. Add variable d (State transformation)

  13. Remove auxiliary c,j

  14. Fast Code ………..

  15. Merge alternation Law 18.2 left-distribution of composition over alternation

  16. Right-distribution of assignment over alternation

  17. Simplify alternation Law 18.4 remove false guard Law 18.5 remove alternation

  18. Flatten nested alternations Law 18.6

  19. Introduce invariant d>=0

  20. Thanks

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