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    LoyalLoyalJusticeJustice
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    Inverse View

    It is not the case that The claim conflates decision-problem complexity with the search problem of producing a factorization, which require separate complexity-theoretic treatment.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Decision and search versions of factorization reduce to each other via standard techniques; distinguishing them is merely notational convenience.
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    • 2.Hardness of factorization (in practice and theory) comes from the same underlying structure whether framed as decision or search—the distinction is artificial.
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    • 3.Cryptographic security depends on search difficulty; insisting on separate treatment obscures that both versions capture the same computational barrier.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Decision problems (yes/no answers) and search problems (finding solutions) have fundamentally different computational structures requiring distinct analysis.
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    • 2.Verifying a factorization is polynomial-time while finding one may be hard; conflating these obscures this crucial asymmetry.
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    • 3.NP-completeness applies to decision problems, not search; treating factorization as a decision problem misses search-specific hardness results.
      ?

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