Can you please help me with this problem because I don't understand this I need help with problem 1.10 part C. i keep getting an incorrect answer with this problem and I don't know why can you help me find the correct answer I have attached the theorem and the incorrect answer. question that I need help with: 1.10 Use the construction in the proof of Theorem 1.49 to give the state diagrams of NFAs recognizing the star of the languages described in   c. Exercise 1.6m.   question that you will need to answer 1.10 part c 1.6 Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}.   m. The empty set

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Can you please help me with this problem because I don't understand this I need help with problem 1.10 part C.

i keep getting an incorrect answer with this problem and I don't know why can you help me find the correct answer I have attached the theorem and the incorrect answer.

question that I need help with:

1.10 Use the construction in the proof of Theorem 1.49 to give the state diagrams of NFAs recognizing the star of the languages described in
 
c. Exercise 1.6m.
 
question that you will need to answer 1.10 part c
1.6 Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}.
 
m. The empty set
THEOREM
1.49
The class of regular languages is closed under the star operation.
PROOF IDEA We have a regular language A₁ and want to prove that A₁ also
is regular. We take an NFA N₁ for A₁ and modify it to recognize At, as shown in
the following figure. The resulting NFA N will accept its input whenever it can
be broken into several pieces and N₁ accepts each piece.
We can construct N like N₁ with additional e arrows returning to the start
state from the accept states. This way, when processing gets to the end of a piece
that N₁ accepts, the machine N has the option of jumping back to the start state
to try to read another piece that N₁ accepts. In addition, we must modify N
so that it accepts e, which always is a member of A. One (slightly bad) idea is
simply to add the start state to the set of accept states. This approach certainly
adds e to the recognized language, but it may also add other, undesired strings.
Exercise 1.15 asks for an example of the failure of this idea. The way to fix it is
to add a new start state, which also is an accept state, and which has an e arrow
to the old start state. This solution has the desired effect of addinge to the
language without adding anything else.
N₁
O
ORANG OROWODRE UNA BORGO DOO ONASION 300 000
O
N
E
O
O
E
Transcribed Image Text:THEOREM 1.49 The class of regular languages is closed under the star operation. PROOF IDEA We have a regular language A₁ and want to prove that A₁ also is regular. We take an NFA N₁ for A₁ and modify it to recognize At, as shown in the following figure. The resulting NFA N will accept its input whenever it can be broken into several pieces and N₁ accepts each piece. We can construct N like N₁ with additional e arrows returning to the start state from the accept states. This way, when processing gets to the end of a piece that N₁ accepts, the machine N has the option of jumping back to the start state to try to read another piece that N₁ accepts. In addition, we must modify N so that it accepts e, which always is a member of A. One (slightly bad) idea is simply to add the start state to the set of accept states. This approach certainly adds e to the recognized language, but it may also add other, undesired strings. Exercise 1.15 asks for an example of the failure of this idea. The way to fix it is to add a new start state, which also is an accept state, and which has an e arrow to the old start state. This solution has the desired effect of addinge to the language without adding anything else. N₁ O ORANG OROWODRE UNA BORGO DOO ONASION 300 000 O N E O O E
Incorrect The empty string is an example.
Automaton Size
Submit
X
qo
q3
0
q4
q6
0
q2
95
Transcribed Image Text:Incorrect The empty string is an example. Automaton Size Submit X qo q3 0 q4 q6 0 q2 95
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