Computer Networking: A Top-Down Approach (7th Edition)
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ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Given the Nondeterministic Finite Automaton (NFA). Need help proving, by induction on n, that for all positive integers n, the string (aba)n is accepted by this NFA. (This string is obtained by n repetitions of aba.) Thank you :)
Transcribed Image Text:Consider the following Nondeterministic Finite Automaton (NFA).
a
1
a
a
4
(a) What are the possible states that this NFA could be in, after reading the input string aba?
(b) Prove, by induction on n, that for all positive integers n, the string (aba)" is accepted by this NFA. (This string is obtained by n repetitions of aba.)
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(a)
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Path: p
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Expert Solution
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Step 1
(a) There are two possible states after string (aba)^n, that is
1. 1 -> a -> 2 -> b -> 4 -> a -> 1, which is non final state
2. Final state, 1 -> a -> 4 -> b -> 2 -> a -> 3
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