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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that Baker, Gill, and Solovay (1975) demonstrated that relativized proofs cannot settle P vs NP, suggesting the question resists standard formal methods.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Relativization limitations don't preclude non-relativizing proof techniques; arithmetic circuit lower bounds have bypassed relativization barriers.
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    • 2.The claim conflates 'standard relativizable methods fail' with 'the problem resists all formal methods,' which is an unwarranted leap.
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    • 3.Natural proofs and other metamathematical barriers are separate obstacles; relativization alone doesn't establish fundamental unsolvability.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Relativization shows that many proof techniques (diagonalization, algebraic methods) provably fail to distinguish P from NP in relativized worlds.
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    • 2.Multiple decades of failed attempts using standard formal systems suggest fundamental obstacles rather than mere technical difficulty.
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    • 3.The existence of natural oracles where P=NP and others where P≠NP demonstrates the question transcends relativizable reasoning.
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