Skip to content
Carmelics
TopicsThinkersChangesContributorsLoading account…

    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

    Navigate

    • Topics
    • Search
    • Recent Changes
    • Contribute
    • How It Works
    • Glossary
    • Thinkers
    • Contributors
    • About
    • Statistics
    • Terms
    • Privacy

    Database

    Statements
    —
    Perspectives
    —
    Topics
    —

    Press ? for keyboard shortcuts

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

    It is not the case that Computational indistinguishability results and oracle separations already demonstrate that the classes behave differently under relativization.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Oracle separations show classes differ *relative to specific oracles*, not that they behave differently in absolute terms within standard computational models.
      ?

      Think about whether this reason is strong or weak

    • 2.Indistinguishability results concern black-box limitations, which may not reflect how non-relativizing techniques (like diagonalization or algebraic methods) actually work.
      ?

      Think about whether this reason is strong or weak

    • 3.Relativized behavior is artificial; natural complexity questions (P vs NP) resist oracle insights precisely because the answer may require non-relativizing proof methods.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Oracle separations (e.g., P^A ≠ NP^A for some oracle A) directly show computational classes have fundamentally different power under relativization.
      ?

      Think about whether this reason is strong or weak

    • 2.Indistinguishability results prove no black-box algorithm can distinguish between certain complexity classes using only oracle queries, indicating structural differences.
      ?

      Think about whether this reason is strong or weak

    • 3.These results are mathematically rigorous and model-independent, making them stronger evidence than unrelativized conjectures about class behavior.
      ?

      Think about whether this reason is strong or weak

    Next step

    Based on where you are in your exploration

    Strongest counterpoint
    Explore the most compelling reason on the other side.