Course Solutions Uncategorized (Solved) : Consider Language L W B C Nw Nw B Nw C Nw Z Number Occurrences Symbol Z String W Words L C Q37196832 . . . .

(Solved) : Consider Language L W B C Nw Nw B Nw C Nw Z Number Occurrences Symbol Z String W Words L C Q37196832 . . . .

 

Consider the language L = {w ∈ {a,b,c}∗ | nw(a) = nw(b) =nw(c)}, where nw(z) is the number of occurrences of the symbol z instring w. In other words, L contains all strings that have an equalnumber of a’s, b’s, and c’s. The symbols may be in any order.

  1. Describe a TM T that decides L. You may assume that a ⊔ symbolhas been placed at the beginning of the tape.

  2. Draw the state diagram of T. You do not need to include therejecting state.

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