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  3. let xor be the exclusive or connective prove t

Let XOR be the eXclusive OR connective Prove that the associative law...

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Advance Math

Let XOR be the eXclusive OR connective  Prove that the associative law applies to XOR I.e., prove that  (P_1 XOR (P_2 XOR P_3)) LEQV ((P_1 XOR P_2) XOR P_3).  - Work out a simple rule to determine exactly when   (P_1 XOR P_2 XOR ... XOR P_n)   is satisfied.   Prove your rule by induction on n. * Prove that the associative law applies to <->. I.e., prove that  (P_1 <-> (P_2 <-> P_3)) LEQV ((P_1 <-> P_2) <-> P_3).  - Work out a simple rule to determine exactly when   (P_1 <-> P_2 <-> ... <-> P_n)   is satisfied.   Prove your rule by induction on n.

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