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    Any P≠NP proof must explain why NP machines gain computat... — Carmelics
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    Challenges→The BGS oracle argument presupposes that a valid P≠NP proof must be syntactically relativizable, but this is a methodological assumption, not a logical necessity.

    Any P≠NP proof must explain why NP machines gain computational power over P machines. Oracles test whether a proof mechanism is robust to this variation.

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