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Lecture 11 Polynomial Time Hierarchy

Lecture 11 Polynomial Time Hierarchy. Oracle TM. Query tape. yes. Query state. no. Remark:. A is polynomial-time Turing-reducible to B if there exists a polynomial-time DTM with oracle B, accepting A. Example. Example. Definition. Definition. Definition. Remark. Theorem. Proof.

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Lecture 11 Polynomial Time Hierarchy

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  1. Lecture 11Polynomial Time Hierarchy

  2. Oracle TM Query tape yes Query state no Remark:

  3. A is polynomial-time Turing-reducible to B if there exists a polynomial-time DTM with oracle B, accepting A.

  4. Example

  5. Example

  6. Definition

  7. Definition

  8. Definition Remark

  9. Theorem Proof

  10. PSPACE P

  11. Characterization THEOREM PROOF by induction on k

  12. Induction Step on k>1

  13. Characterization THEOREM PROOF by induction on k

  14. Induction Step on k>1

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