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Let S Be the Set of All Strings of 0's

Question 17

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Let S be the set of all strings of 0's and 1's of length 3. Define a relation R on S as follows: for all strings s and t in S,
Let S be the set of all strings of 0's and 1's of length 3. Define a relation R on S as follows: for all strings s and t in S,   (a) Prove that R is an equivalence relation on S. (b) Find the distinct equivalence classes of R.
(a) Prove that R is an equivalence relation on S.
(b) Find the distinct equivalence classes of R.

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a. Proof:
R is reflexive because for each...

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