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Conjunction
True if both p and q are true. False otherwise

Disjunction
False if both p and q are false. True Otherwise

Exclusive OR
True if exactly one of p and q are true. False otherwise

Implication
False if p is true and q is false.True otherwise

Converse
q → p
Contrapositive
¬q → ¬p
Inverse
¬p → ¬q
Biconditional
True if p and q are the same value. False otherwise

Proposition
a declarative sentence (that is, a sentence that declares a fact) that is either true or false, but not both.
propositional variable
a variable that represents a proposition
truth value
true or false
bit