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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 of the operations that can represent any logical statement.
State the result of the operation p ∧ ¬p.
What does AND mean with a statement and its negation?
Which of the following sets is functionally complete?
Think about how each operator can combine truth values.
A proposition is a tautology if its negation is:
Remember the definitions of tautology and negation.
Given the expression (A ∧ B) → (C ∨ D), show through transformations it's equivalent to using only AND and NOT operators.
What transformations apply to implications in your logical toolkit?
Show using resolution that the clauses {¬P, P ∨ Q} and {¬Q} lead to an unsatisfiable conclusion.
Identify pairs and systematically resolve until you observe a cancellation.
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