A logic that requires non-trivial translation overhead with signature expansion to simulate another logic's native expressiveness constitutes a genuine, not merely apparent, extension of that logic.

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Apparent vs. genuine(distinguishing between seeming to extend a logic versus actually extending it): Apparent means something seems true on the surface; genuine means it's actually true in substance.
Extension (of a logic)(describing the relationship between two logical systems): A new logical system that can do everything an older system could do, plus additional things.
Genuine extension(contrasted with 'merely apparent' extension in the statement): A real, meaningful upgrade to a system, not just a cosmetic or superficial change.
Logic(Introduced as an overarching category encompassing rhetoric, poetics, sophistical syllogistic, dialectic, and demonstration.): The universal instrument for distinguishing between the true and the false, whose nature varies according to its objects and ends.

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