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satisfiability
there is an interpretation where at least 1 is true; p—> p
unsatisfiability
it cannot be made true; all 0’s; p ^ ¬p
tautology
true in every interpretation (all 0’s); p —> p
contradiction
false in every interpretation; all 0’s; p ^ ¬p
implication
x implies y iff every interpretation that makes x true also makes y true; x = p; y = q; p v q
equivalence
x=y, y=x; have the same truth value in EVERY interpretation; ¬¬p and p