AC-3 puts back on the queue every arc (Xk, Xi) whenever any value is deleted from the domain of Xi, even if each value of Xk is consistent with several remaining values of X. Suppose that, for every arc (Xk, Xi), we keep track of the number of remaining values of Xk that are consistent with each value of Xk. Explain how to update these numbers efficiently and hence show that arc consistency can he enforced in total time O (n2d2).
Answer to relevant QuestionsShow how a single ternary constraint such as “A + B = C” can be turned into three binary constraints by using an auxiliary variable. You may assume finite domains. Next, show how constraints with more than three ...Consider the two-player game described in Figure.a. Draw the complete game tree, using the following conventions:• Write each state as (SA, SB) where SA and 5B denote the token locations.• Put each terminal state in ...The Chinook checkers program makes extensive use of endgame databases, which provide exact values for every position with eight or fewer pieces. How might such databases be generated efficiently?Consider a vocabulary with only four propositions, A, B, C, and D. How many models are there for the following sentences? a. (A Λ AB) V (B Λ C) b. A V B c. A ↔ B ↔ CDiscuss what is meant by optimal behavior in the wumpus world. Show that our definition of the PL-WUMPUS-AGENT is not optimal, and suggest ways to improve it.
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