Q5 Consider a language L over the binary alphabet For any two binary strings x, y we say x, y are distinguishable by L if there exists a string w L such that exactly one of the strings xw, yw is in L x, y are indistinguishable by L otherwise (denoted by idL Prove that idL is an equivalence relation 5 Consider a language L over the binary alphabet For any two binary strings x,y we say x,y are distinguishable by L if there exists a string wL such that exactly one of the strings xw,yw is in L x,y are indistinguishable by L otherwise (denoted by idL Prove that idL is an equivalence relation

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Question: Q5. Consider a language L over the binary alphabet. For any two binary strings x, y we say x, y are distinguishable by L if

Q5.

Consider a language L over the binary alphabet. For any two binary strings x, y we say x, y are distinguishable by L if there exists a string w L such that exactly one of the strings xw, yw is in L. x, y are indistinguishable by L otherwise (denoted by idL. Prove that idL is an equivalence relation.

Q5. Consider a language L over the binary alphabet. For any two

5. Consider a language L over the binary alphabet. For any two binary strings x,y we say x,y are distinguishable by L if there exists a string wL such that exactly one of the strings xw,yw is in L.x,y are indistinguishable by L otherwise (denoted by idL. Prove that idL is an equivalence relation

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