If L(M) = {v € {a, b}": na (v) = nb (v)}, where €means (belongs to), and M is a P %3D %3D Input ab bb a a 2$ a, $ OS b, $ 1$ Stack a,0→00 a,1 E b,1 11 b,0 E current state ɛ, SS 12 Answer the following questions based on the above diagram for the PDA M. 1) Write in sequence the used Transition Functions for the provided input. 2) Write in sequence the stack alphabets for the provided input by mentioning whic the ex. (ex (pop 0, push 1), (pop S. push 1), etc). 3) is the input Accepted or Rejected?

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Author:James Kurose, Keith Ross
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theory of computation

If L(M) = {v € {a, b}: na (v) = nb (v)}, where € means (belongs to), and M is a PDA.
Input
a b
b b
a
a
a, $ O$
b, $1S
b, 1 11
b,0 →E
Stack
a,0 → 00
a,1-E
current
state
ɛ, S S
12
Answer the following questions based on the above diagram for the PDA M.
1) Write in sequence the used Transition Functions for
provided input.
2) Write in sequence the stack alphabets for the provided input by mentioning which is popped or pushed in pairs, as shown in
the ex. (ex: (pop 0, push 1), (pop $. push 1), .etc).
3) is the input Accepted or Rejected?
白
Transcribed Image Text:If L(M) = {v € {a, b}: na (v) = nb (v)}, where € means (belongs to), and M is a PDA. Input a b b b a a a, $ O$ b, $1S b, 1 11 b,0 →E Stack a,0 → 00 a,1-E current state ɛ, S S 12 Answer the following questions based on the above diagram for the PDA M. 1) Write in sequence the used Transition Functions for provided input. 2) Write in sequence the stack alphabets for the provided input by mentioning which is popped or pushed in pairs, as shown in the ex. (ex: (pop 0, push 1), (pop $. push 1), .etc). 3) is the input Accepted or Rejected? 白
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