If threads are not paused, threads can execute code that would break this invariant.

at least if the GC is St W (Stop the World), meaning it will pause all threads while collecting garbage.

If it is concurrent, a tri-color GC has an invariant that must hold true at all times: A black object must not refer to a white object!

This holds true automatically for a St W GC, since every object that is colored black has been examined previously and all white objects it was pointing to were colored gray, thus a black object may only refer to other black objects or gray objects.

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Let me give you a short introduction to a tri-color GC (in case somebody reads it who has never heard of it); if you don't care, skip it and jump to The Problem.

In a tri-color GC an object has one out of three possible colors; white, gray and black.

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