If redness is an essential property fixed by its intrinsic physical constitution, then filling a causal-functional role is neither necessary nor sufficient for being redness across all possible worlds.

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Causal-functional role(philosophy of mind/metaphysics): What something does and how it works in a system—the effects it has and the purpose it serves. For example, a hammer's causal-functional role is to drive nails by striking them.
Intrinsic physical constitution(metaphysics/physics): The basic physical makeup of something when you look at it on its own, without considering its relationships to other things—like the atoms and molecules that make it up.
essential property(Counterpart theory / modal metaphysics): A property P is had essentially by individual a if every counterpart b of a is a member of P
necessary and sufficient conditions(in philosophical analysis): A 'necessary' condition is something that must be true for something else to happen; a 'sufficient' condition is something that guarantees it will happen. This phrase describes what must be true (and what's enough) for a definition to apply.
possible worlds(Leibniz's modal semantics, anticipating contemporary possible-worlds semantics): Worlds that have existence in a tenuous sense; fictional worlds used to characterize the nature of possibles that are never actualized

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