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5 cards from this section. Quick, good the night before a test.
What is a tautology?
Think about statements that can't be false.
Give an example of a contradiction.
Consider combinations that make both statements false.
What type of statement is always true?
Consider statements that cannot be false.
A statement that is always false is called a?
Think of combinations that cannot hold true.
Show using logical identities that '¬(p ∧ q) ∧ (¬p ∨ r)' can be simplified. Prove it results in an equivalent expression.
Think about how negation affects conjunctions.
Given p → q and r → s, prove that 'p ∧ r → q ∧ s' is logically equivalent using logical identities.
Consider the implications separately and how they relate.
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