7. Let M = ({90: 91; 42}, {a, b}, ô, qo; {42}) be the DFA with transition table: a | b qo 90 91 q1 91 92 q2 92 92 The initial state is qo and the set of accepting states is F = {q2}. (a) Construct the state diagram for M. (b) Compute d(qo, aab). (c) Determine whether the word w = aab is accepted by M. (d) Compute L(M).

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.4: Classification Of States In A Markov Chain
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7. Let M = ({90: 91; 42}, {a, b}, ô, qo; {42}) be the DFA with transition table:
a | b
qo 90 91
q1 91 92
q2 92 92
The initial state is qo and the set of accepting states is F = {q2}.
(a) Construct the state diagram for M.
(b) Compute d(qo, aab).
(c) Determine whether the word w = aab is accepted by M.
(d) Compute L(M).
Transcribed Image Text:7. Let M = ({90: 91; 42}, {a, b}, ô, qo; {42}) be the DFA with transition table: a | b qo 90 91 q1 91 92 q2 92 92 The initial state is qo and the set of accepting states is F = {q2}. (a) Construct the state diagram for M. (b) Compute d(qo, aab). (c) Determine whether the word w = aab is accepted by M. (d) Compute L(M).
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