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2 cards from this section. Quick, good the night before a test.
Define a functionally complete set of logical operators.
Think about the basic logical operators you know.
What does negation do to a proposition?
Remember the effect of NOT on true statements.
Which of the following sets of operators is functionally complete?
Think of the basic logical operations.
True or False: If a proposition is a tautology, its negation is satisfiable.
Consider the definitions of tautology and satisfiability.
Show that the expression p ∨ q is equivalent to ¬(¬p ∧ ¬q) using truth tables.
Remember that equivalence means they must have the same output for every input.
Prove that the expression p → (q ∧ r) is functionally complete by expressing it with AND and NOT.
Focus on breaking down the implication step-by-step.
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