A4 - Hints, Tips, and FAQ ========================= Q: 3(a) and 3(b) don't make sense. Is there a typo? A: Though, given my track record, I completely understand why you would think this, they are *not* typos. Q: If I have two formulas down to the same format, but with different propositional variables, are they logically equivalent? A: Generally speaking, no. Consider two formulas A /\ B and A /\ C. While they have the same format, they are not logically equivalent *unless* you happen to know that B and C are logically equivalent. For instance the truth assignment A = 1, B = 1, C = 0 results in different values for the two formulas. Hint: Particularly for the confusing ones in question three, you may find that a logical equivalence or two that isn't in our given laws might be useful. For instance, it might help if you could claim that P \/ (Q /\ P) LEQV P. (Speaking hypothetically, of course.) Tip: You must prove any logical equivalence you use that we did not discuss in class. This can be tricky. If you find yourself in a position where the equivalence laws we've given you aren't quite getting you where you need to be, you might want to go back to the alternate definitions of what it means for two formulas to be logically equivalent.