Question: b part S' 5. (a) For m, n e N define m - n if m2 -n? is a multiple of 3. Show that is

b part S' 5. (a) For m, n e N define

b part

S' 5. (a) For m, n e N define m - n if m2 -n? is a multiple of 3. Show that is an eqaivalience relation on N n S (b) Let P be a set of computer programs, and regard pi and p, as equivalent if they produce the same outputs for given inputs. Is this an equivalence relation on P? Prove your answer. lements in the sets Ao, A1,A2, ??, A-1, A2, A, defined by

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