Conjunction
The conjunction "p and q" is denoted by p∧q.
The conjunction p∧q is true when both p and q are true and is false otherwise.
Disjunction
The disjunction "p or q" is denoted by p∨q.
The disjunction p∨q is false when both p and q are false and is true otherwise.
E...
Discrete Math
Chapter 1 (CSCI
2610 @ UGA)
Conjunction - answer The conjunction "p and q" is
denoted by p∧q.
The conjunction p∧q is true when both p and q are
true and is false otherwise.
Disjunction - answer The disjunction "p or q" is
denoted by p∨q.
The disjunction p∨q is false when both p and q are
false and is true otherwise.
Exclusive Or (XOR) - answer The exclusive or "p
xor q" is denoted by p⊕q.
The exclusive or p⊕q is true when exactly one of p
or q is true and is false otherwise.
, Conditional Statement (Implication) - answer The
implication "if p then q" is denoted by p→q.
The implication p→q is false when p is true and q is
false. It is true otherwise.
Negation Operator - answer The negation operator
"not" is denoted by the symbol ¬.
∴¬p represents "not p"
Converse - answer q → p
Inverse - answer ¬p → ¬q
Contrapositive (*) - answer ¬q → ¬p
Biconditional Statement - answer The Biconditional
Statement "p if and only if q" or "p iff q" is denoted
by p ↔ q.
The biconditional statement p ↔ q is true when p
and q have the same truth values and is false
otherwise.
p↔q = p→q ∧ q→p
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