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3 cards from this section. Quick, good the night before a test.
What does it mean for a set of logical operators to be functionally complete?
Think about what it means to represent all logical scenarios.
Convert the implication p → q using logical operators in the functionally complete set.
Remember that implication can always be expressed in terms of ORs.
Which of the following sets is functionally complete?
Think about how each set can express logical statements.
True or False: The expression p ↔ q can be rewritten as (p → q) AND (q → p).
Recall the definition of 'if and only if.'
Demonstrate through transformations that the set {¬, ∨} can express any logical statement involving conjunction.
Consider how negation flips the truth conditions.
Create a complex logical proposition and determine its satisfiability using truth assignment techniques.
Systematically try combinations until all parts of the proposition are satisfied.
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