Logical Equivalences Quiz
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Questions and Answers

Which logical connective represents the logical operation of 'OR' in the expressions?

  • ¬
  • (correct)
  • What does the expression (p → q) ↔ (¬p → ¬q) represent?

  • Disjunctive syllogism
  • Conditional equivalence
  • Contrapositive relationship (correct)
  • Negation of conjunction
  • In the expression (p ∨ ¬(p ∧ q)), what is the effect of the negation (¬) on the conjunction (p ∧ q)?

  • It makes it always true
  • It acts as a conjunction
  • It negates the entire conjunction (correct)
  • It negates only p
  • What is the logical implication of the expression ((a ∨ b) ∧ (a → c) ∧ (¬b → c)) → c?

    <p>c must be true if a or b is true</p> Signup and view all the answers

    What does the expression (p ∨ q) → ¬r imply in terms of r?

    <p>If either p or q is true, then r must be false</p> Signup and view all the answers

    Study Notes

    Logical Equivalences

    • p V ¬(p ∧ q)
    • (p → q) ↔ (¬p → ¬q)
    • (p V q) → ¬r
    • ((a V b) ∧ (a → c) ∧ (¬b → c)) → c

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    Description

    Test your understanding of logical equivalences with this quiz. The questions cover key concepts including disjunction, conjunction, and implications. Challenge yourself to select the correct equivalencies and improve your logic skills.

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