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Module16 - Module 16 Distinguishability Definition Help in...

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1 Module 16 Distinguishability Definition Help in designing/debugging FSA’s
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2 Distinguishability
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3 Questions Let L be the set of strings over {a,b} which end with aaba. Let M be an FSA such that L(M) = L. Questions Can aaba and aab end up in the same state of M? Why or why not? How about aa and aab? How about λ or a? How about b or bb? How about λ or bbab?
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4 Definition * String x is distinguishable from string y with respect to language L iff there exists a string z such that xz is in L and yz is not in L OR xz is not in L and yz is in L When reviewing, identify the z for pair of strings on the previous slide
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5 Questions * Let L be the set of strings over {a,b} that have length 2 mod 5 or 4 mod 5. Let M be an FSA such that L(M) = L. Questions Are aa and aab distinguishable with respect to L? Can they end up in the same state of M? How about aa and aaba?
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