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When are two propositional forms logically equivalent?
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Two propositional forms $\Phi(P, Q, R, \ldots)$ and $\Psi(P, Q, R, \ldots)$ are said to be logically equivalent when their truth tables are identical, or when the equivalence $\Phi(P, Q, R, \ldots) \Leftrightarrow \Psi(P, Q, R, \ldots)$ is a tautology. Such equivalence is also called a logical identity.
by Diamond (44,715 points)

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