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algorithm search value figure alpha-beta solution section solution tree proof heuristic search tree network database procedure game tree itemset lemma result number node n theorem min node depth child order minimax value max solution tree table function minimax mining estimate length state instance bidirectional max node iteration paper parameter target version model graph selection transaction research transposition process problem ab-ss method program property nition node v min solution tree inequality support transposition table label distance solution trees execution vertex information sss -2 game trees game value example simulation database b experiment postcondition data mining children leaf nodes intelligence memory search space