Consider the following Nondeterministic Finite Automaton (NFA). 1 a b a 3 4 2 (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.)
Consider the following Nondeterministic Finite Automaton (NFA). 1 a b a 3 4 2 (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.)
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter12: Review Of Calculus And Probability
Section12.5: Random Variables, Mean, Variance, And Covariance
Problem 5P
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Transcribed Image Text:Consider the following Nondeterministic Finite Automaton (NFA).
1
a
b
a
3
4
2
(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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