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    Some proof systems cannot decide P vs NP (Razborov-Rudich... — Carmelics
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    Supports→NP-hardness is established via polynomial-time many-one reductions, which themselves presuppose P ≠ NP is not provably false—a claim independent of ZFC under some interpretations.

    Some proof systems cannot decide P vs NP (Razborov-Rudich barrier); independence from ZFC is technically consistent with known results.

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    NP-hardness is established via polynomial-time many-one reductions, which themse...

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