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Problem Reduction Search
AND/OR Search
Min-Max Search
(Lecture-20)
Hema Kashyap
1
Problem Reduction Search
• Planning how best to solve a problem that can
be recursively decomposed into sub-problems
in multiple ways
– Matrix Multiplication problem
– Tower of Hanoi
2
Formulations
• AND/OR Graph
– An OR node represents a choice between possible
decompositions
– An AND node represents a given decomposition
• Game Trees
– Max nodes represent the choice of my opponent
– Min nodes represent my choice
3

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Lecture 20 problem reduction search

  • 1. Problem Reduction Search AND/OR Search Min-Max Search (Lecture-20) Hema Kashyap 1
  • 2. Problem Reduction Search • Planning how best to solve a problem that can be recursively decomposed into sub-problems in multiple ways – Matrix Multiplication problem – Tower of Hanoi 2
  • 3. Formulations • AND/OR Graph – An OR node represents a choice between possible decompositions – An AND node represents a given decomposition • Game Trees – Max nodes represent the choice of my opponent – Min nodes represent my choice 3