1. Study the grammar G: { S -→ aR , R → aR | baR| ɛ }. Including a trap state, how many states are there in the minimum-state DFA for L(G)? A. 4 В. 3 С. 2

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1. Study the grammar G: { S -→ aR , R → aR | baR| ɛ }. Including a trap state, how many
states are there in the minimum-state DFA for L(G)?
А. 4
В. 3
С. 2
2. IfL is a regular language over E, what can be said about the languages L1 =E* – L and
L2 = reverse(L*)?
A. Li is always regular but not L2.
B. L2 is always regular but not Lı.
C. Li and L2 are both regular.
3. What is the language generated by the grammar G: { S → aR , R → aR | baR | b }?
A. (aa*b)*
В. (а*Ь) (а*b)*
C. (aa*b)(aa*b)*
4. IfL is a regular language over some alphabet E, what can be said about the language L' =
(E* – L) N reverse(L)?
A. L’ is surely regular.
B. L’ is surely non-regular.
C. Its type cannot be determined without additional information.
5. Including the trap state, how many states are there in the minimum-state DFA for the
regular expression (a+b)*(b+c)* ? Also how many final states will there be in the
minimum-state DFA?
A. 4 states with one final state
B. 3 states with two final states
C. 3 states with one final state
Transcribed Image Text:1. Study the grammar G: { S -→ aR , R → aR | baR| ɛ }. Including a trap state, how many states are there in the minimum-state DFA for L(G)? А. 4 В. 3 С. 2 2. IfL is a regular language over E, what can be said about the languages L1 =E* – L and L2 = reverse(L*)? A. Li is always regular but not L2. B. L2 is always regular but not Lı. C. Li and L2 are both regular. 3. What is the language generated by the grammar G: { S → aR , R → aR | baR | b }? A. (aa*b)* В. (а*Ь) (а*b)* C. (aa*b)(aa*b)* 4. IfL is a regular language over some alphabet E, what can be said about the language L' = (E* – L) N reverse(L)? A. L’ is surely regular. B. L’ is surely non-regular. C. Its type cannot be determined without additional information. 5. Including the trap state, how many states are there in the minimum-state DFA for the regular expression (a+b)*(b+c)* ? Also how many final states will there be in the minimum-state DFA? A. 4 states with one final state B. 3 states with two final states C. 3 states with one final state
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