* Prove that the associative law does not apply to ->. I.e., prove that (P_1 ->...

* Prove that the associative law does not apply to ->.  I.e., prove that
    (P_1 -> (P_2 -> P_3)) notLEQV ((P_1 -> P_2) -> P_3).
 * Right associating ...
   - Work out a simple rule to determine exactly when
      (P_1 -> (P_2 -> ( ... (P_{n-1} -> P_n)...)))
     is satisfied.
     Prove your rule by induction on n.
 * Left associating ...
   - Work out a simple rule to determine exactly when
      (((...(P_1 -> P_2) ...) -> P_{n-1}) -> P_n)
     is satisfied.
     Prove your rule by induction on n.

Expert Solution

Colby Messinger answered 1 year ago

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Question

* Prove that the associative law does not apply to ->. I.e., prove that (P_1 ->...

Solutions

Expert Solution

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