Negation
T | F
F | T
Conjunction
p q | p . q --------------- T T | T T F | F F T | F F F | F
Disjunction
p q | p v q ------------------ T T | T T F | T F T | T F F | F
Conditional
p q | p --> q --------------------- T T | T T F | F F T | T F F | T
Biconditional
p q | p q ----------------------- T T | T T F | F F T | F F F | T
Tautology
True regardless of the truth values of its atomic components.
Contradiction
False regardless of the truth values of its atomic components.
Contingent
If it is true on some assignments of truth values to its atomic components and false on others.
Logically equivalent
If they agree in truth value regardless of the truth values assigned to their atomic components.