Please answer the following question in detail. With all the proofs and assumptions explained. We have seen various search strategies in class, and analyzed their worst-case running time. Prove that any deterministic search algorithm will, in the worst case, search the entire state space. More formally, we define a search problem by a finite set of states S, a set of actions A, and a cost function c : S ×A×S → {1,∞} (i.e. the cost is uniform, but some states cannot be reached from some others, or equivalently have a cost of ∞), and a starting state s0 ∈ S. We assume that every state s ∈ S is reachable from s0, i.e. that there is a sequence of actions one can take from state s0 such that one reaches the state s after performing this sequence of actions, and such that the cost of reaching s is finite. Prove the following theorem. Theorem1. LetAlgbesomecomplete, deterministic uninformed search algorithm. Then for any search problem defined as above, there exists some choice of a state s∗ ∈ S such that Alg checks every state in S.
Please answer the following question in detail. With all the proofs and assumptions explained.
We have seen various search strategies in class, and analyzed their worst-case running time. Prove that any deterministic search
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