Question: A) Develop a formal proof of correctness for alpha-beta pruning, i.e., justify that the alpha-beta search is complete and optimal for zero-sum adversary games. B)

A) Develop a formal proof of correctness for alpha-beta pruning, i.e., justify that the alpha-beta search is complete and optimal for zero-sum adversary games.

B) Lets consider a two-agent cooperative search where both agents look for the optimum of the shared objective function f and both perform consecutive moves like in minimax. Is it possible to derive some equivalent of pruning, i.e., cooperative alpha-beta?. Will it be complete and optimal?

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