Course Solutions Uncategorized (Solved) : 3 Recall Use Mi Denote Th Turing Machine String Encoding Mi M Exactly Wi Th Word Dictiona Q33345853 . . . .

(Solved) : 3 Recall Use Mi Denote Th Turing Machine String Encoding Mi M Exactly Wi Th Word Dictiona Q33345853 . . . .

 

Automata

3. Recall that we use Mi to denote the i-th Turing Machine. That is, the string encoding (Mi) of M is exactly wi, the i-th word in the dictionary ordering. Show that, for each Turing machine M, there are infinitely many i such that L(M)-L(Mi) (i.e., M and M, accept the same language.). (If a program is understood as a Turing machine, what does this exercise say about the program?) 4. For a TM M, a L-instruction (resp. R-instruction) is a move in the form of (a,a)-(p, b, L) (resp. 5(q,a)-(p, b, R)). Show that the following problem is decidable Given a TM M, whether M contains the same number of L- instructions and R-instructions?

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