Course Solutions Uncategorized (Solved) : 5 10 Points Question Show Dfas Nfas Extremely Limited Computing Devices Cannot Even Comput Q32006724 . . . .

(Solved) : 5 10 Points Question Show Dfas Nfas Extremely Limited Computing Devices Cannot Even Comput Q32006724 . . . .

 

5. (10 Points) In this question you will show that DFAs and NFAs are extremely limited as computing devices. They cannot even compute multiplication and iterated exponen- tiation (although it is easy to compute each of these on a general-purpose computer) (a) Let Σ {a,b,c} and consider the task of multiplication encoded in the language Lan n 0, k 0. Prove that L is not regular using the pumping lemma. (b) Let f(n) denote iterated exponentiation with base 2. Formally, it is defined as follows For your intuition, consider f(1) 2, f(2) 22, f(3)22(4) 22, and so 

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