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LECTURE 15 PSPACE-Complete

LECTURE 15 PSPACE-Complete. SPACE BOUNDED HALTING PROBLEM (SBHP). THEOREM. PROOF. QUANTIFIED BOOLEAN FORMULA. QBF. THEOREM. PROOF. 3-QBF. THEOREM. Geography Game. Example 1. BLUE ALWAYS WINS. Example 2. RED WINS. Example 2. BLUE WINS.

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LECTURE 15 PSPACE-Complete

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  1. LECTURE 15PSPACE-Complete

  2. SPACE BOUNDED HALTING PROBLEM (SBHP) THEOREM PROOF

  3. QUANTIFIED BOOLEAN FORMULA QBF THEOREM

  4. PROOF

  5. 3-QBF THEOREM

  6. Geography Game

  7. Example 1 BLUE ALWAYS WINS

  8. Example 2 RED WINS

  9. Example 2 BLUE WINS IF RED DOESN’T MAKE A MISTAKE, THENBLUE CANNOT WIN.

  10. Example 3 BLUE HAS A WINNING STRATEGY!!!

  11. Geography Problem WIINNIG STRATEGY

  12. THEOREM PROOF Construction Such that

  13. BLUE HAS A WINNING STRATEGY!!!

  14. Thanks, end.

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