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    Home/Original/inverse
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    Inverse View

    It is not the case that History of complexity theory shows that problems once deemed inherently hard (e.g., primality testing) later yielded to unexpected algorithmic techniques, undermining inductive confidence in current parallelization barriers.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Primality testing improvements involved changing problem variants or lowering guarantees, not solving inherent sequential dependencies like NC vs P.
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    • 2.Some barriers (e.g., logarithmic depth for P-complete problems) have conditional lower bounds independent of algorithm discovery rates.
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    • 3.Inductive inference from algorithmic breakthroughs to parallelization remains logically weak—historical examples don't establish absence of actual limits.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.AKS primality test and elliptic curve methods were genuinely unexpected breakthroughs, suggesting algorithmic creativity remains underexplored.
      ?

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    • 2.P vs NP remains unsolved; absence of proof for parallelization barriers doesn't establish they are fundamental rather than merely undiscovered.
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    • 3.Historical pattern shows computational barriers often reflect incomplete technique exploration, not intrinsic problem structure.
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