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LECTURE 21 Probabilistic TM

LECTURE 21 Probabilistic TM. Work tape. Random-bit tape. Random-bit Generator Ø. Finite control. 0. 1. B. B. Random-bit tape. Random-bit Generator Ø. Finite control. Work tape. Random-bit tape. Finite control. Random-bit Generator Ø. Halt and Accept. PROBABILITY.

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LECTURE 21 Probabilistic TM

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  1. LECTURE 21Probabilistic TM

  2. Work tape Random-bit tape Random-bit Generator Ø Finite control

  3. 0 1 B B Random-bit tape Random-bit Generator Ø Finite control

  4. Work tape Random-bit tape Finite control Random-bit Generator Ø

  5. Halt and Accept PROBABILITY

  6. Time Complexity

  7. LEMMA PROOF

  8. Accepting Input

  9. Complexity Class

  10. Characterization of ZPP PROOF (<=)

  11. (=>)

  12. Lecture 22 Power of Randomness Does the randomness increases the power of computation?

  13. ARE ALL OPEN!!!

  14. THEOREM PROOF

  15. THEOREM THEOREM PROOF

  16. THEOREM

  17. Relationship

  18. Puzzle 1

  19. Puzzle 2

  20. Thanks, End

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