Exercise · ZW-LOGICAL-EQUIVALENCE-008 · ★★☆ Intermediate

Which equivalence is correct?

Choose one option.

Show answer
  • A. P∧T ≡ P

Explanation

\(P\wedge T\equiv P\) holds because conjoining with true leaves \(P\) unchanged. The other three equivalences fail.

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Review the concept: Logical equivalence

\(P\) and \(Q\) are logically equivalent if they have the same truth value under every assignment.

\[P\Leftrightarrow Q\]

More practice problems: logical equivalence

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