Question

Which of the following is idempotent law of propositional logic?

• A. \(p \lor p = p\)
• B. \(p \land t = p\)
• C. \(p \lor t = t\)
• D. \(p \lor (\neg p) = t\)

Hint:

Idempotent laws show that duplication in logical expressions doesn't change their value.

Answer 1

The Correct Option is A

The idempotent laws in propositional logic state that: \[ p \lor p = p \quad \text{and} \quad p \land p = p \] These express that repeating the same proposition using OR or AND results in the same proposition.