Question: Exercises 445 IN OUT -H Reduction Semideciding TM. Turing enumerable, or Unrestricted grammar SD Deciding TM Lexicicographically enumerable, or L and complement in SD Diagonalization,

Exercises 445 IN OUT -H Reduction Semideciding TM. Turing enumerable, or

Unrestricted grammar SD Deciding TM Lexicicographically enumerable, or L and complement in

Exercises 445 IN OUT -H Reduction Semideciding TM. Turing enumerable, or Unrestricted grammar SD Deciding TM Lexicicographically enumerable, or L and complement in SD Diagonalization, or Reduction CF grammar, PDA. or Closure Pumping, or Closure Context Free Regular la'bj FSM. Regular expression. Regular grammar. or Closure Pumping, or Closure FIGURE 20.7 Relating four language classes. have mentioned unrestricted grammars, which we will discuss in Chapter 23. You'll also note, in the figure, one example language in each class. Exercises 1. Show that the set D (the decidable languages) is closed under: a. Uniorn b. Concatenation c. Kleene star d. Reverse e. Intersection Show that the set SD (the semidecidable languages) is closed under: a. Uniorn b. Concatenation c. Kleene star d. Reverse e. Intersection 2. 3. Let L1.2. . . . . Lk be a collection of languages over some alphabet such that For all i , Lin Lj = . . Vi (Li is in SD). Prove that each of the languages L through L is in D

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