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Com S 280 - Logic and Proofs

# Com S 280 - Logic and Proofs - Logic and Proofs Definitions...

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Logic and Proofs - Definitions o proposition: A statement that is true or false o propositional Variable: a variable that represents a proposition o truth value: true or false o ¬ p (negation of p): the proposition with the true value opposition to the truth value of p o logical operators: operators used to combine propositions o compound proposition: a proposition constructed by combining propositions using logical operators o truth table: a table displaying the truth values of propositions o q p (disjunction of p and q): the proposition “p or q,” which is true if and only if at least one of p and q is true o q p (conjunction of p and q): the proposition “p and q,” which is true if and only if both p and q are true o q p (exclusive or of p and q): the proposition “p XOR q,” which is true when exactly one of p and q are true o q p (p implies q): the proposition “if p, then q,” which is false if and only if p is true and q is false o converse of q p : the conditional statement p q o contrapositive of q p : the conditional statement p q ¬ ¬ o inverse of q p : the conditional statement q p ¬ ¬ o q p (biconditional): the proposition “p if and only if q,” which is true if and only if p and q have the same truth value o bit: either a 0 or a 1 o boolean variable: a variable that has a value of 0 or 1 o bit operation: an operation of a bit or bits o bit string: a list of bits o

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