Relativization results (Baker-Gill-Solovay 1975) demonstrate that there exist oracles relative to which standard separation arguments fail, meaning the hierarchy theorems establish class separation only in unrelativized models.

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Baker-Gill-Solovay (1975)(historical reference in computer science): Three computer scientists (Baker, Gill, and Solovay) who published a landmark 1975 paper proving an important limitation about what we can and cannot prove in computational complexity theory.
Hierarchy theorems(as used in computational complexity theory): Mathematical proofs showing that complexity classes form a strict ranking—that harder problems genuinely require more time or resources to solve than easier ones.
Separation arguments(as used in computational complexity theory): Logical methods used to prove that two different complexity classes (groups of problems) are actually different from each other.
Unrelativized models(as used in computational complexity theory): The normal way we think about computation without any special helper tools or assumptions—just regular computers solving problems on their own.

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