If L is the set of all strings over Σ= {a,b}, which has the form xby, where x is any string whose length is divisible by 3 such that the first of every 3 characters of x is a, and y is any string containing substring abba. State the deterministic finite automaton which generates L. Examples: babbbaa E L aaaabbaabbabbbaa = L aaabaaababbbaaaaa E L aaababbbaba & L aaaaaaabbbaa & L aaaababbbaa L

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3.1

If L is the set of all strings over Σ= {a,b), which has the form xby, where x is any string whose
length is divisible by 3 such that the first of every 3 characters of x is a, and y is any string
containing substring abba.
State the deterministic finite automaton which generates L.
Examples:
babbbaa € L
aaaabbaabbabbbaa = L
aaabaaababbbaaaaa
€ L
aaababbbaba & L
aaaaaaabbbaa L
aaaababbbaa L
Transcribed Image Text:If L is the set of all strings over Σ= {a,b), which has the form xby, where x is any string whose length is divisible by 3 such that the first of every 3 characters of x is a, and y is any string containing substring abba. State the deterministic finite automaton which generates L. Examples: babbbaa € L aaaabbaabbabbbaa = L aaabaaababbbaaaaa € L aaababbbaba & L aaaaaaabbbaa L aaaababbbaa L
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