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Prove that for two machines M and N, M indistinguishable from N does not imply that M has the same behavior as N. Hint: one

Prove that for two machines M and N, M indistinguishable from N does not imply that M has the same behavior as N. Hint: one way to prove this is to exhibit two machines, a two state machine M and a three state machine N, both over X = {0,1} and Y= {0,1} with this property.

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