If the relevant theoretical boundary is polynomial versus superpolynomial growth, then cross-model invariance under polynomial simulation is sufficient realism for complexity-theoretic purposes.
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Realism (in epistemology)(discussing what counts as genuinely real for purposes of complexity theory)
The philosophical view that something being studied actually exists or behaves in a real, meaningful way—not just as a helpful fiction or mental construct.
Sufficient
# Sufficient
Something is sufficient when it is enough to achieve a goal or make something true. For example, having a valid driver's license is sufficient to legally drive a car—you don't need anything else. In everyday language, we use "sufficient" to mean "adequate" or "meeting the minimum requirement needed."
Superpolynomial growth(comparing different rates of growth in complexity theory)
A mathematical pattern where something increases much faster than polynomial growth—so fast that it becomes extremely hard to manage or compute. Exponential growth (like doubling repeatedly) is a common example.