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
    Home/Original/inverse
    See Original
    Inverse View

    It is not the case that Savitch's Theorem establishes an inclusion relation between complexity classes, not their equality, leaving open whether PSPACE is a proper subset of NPSPACE.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Savitch's Theorem definitively proves PSPACE = NPSPACE; the question of properness is already mathematically settled, not 'left open.'
      ?

      Think about whether this reason is strong or weak

    • 2.Framing a proven equality as merely an 'inclusion relation' misrepresents the strength of Savitch's result and creates false ambiguity.
      ?

      Think about whether this reason is strong or weak

    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Savitch's Theorem proves PSPACE = NPSPACE by showing NPSPACE ⊆ PSPACE, establishing inclusion without determining properness.
      ?

      Think about whether this reason is strong or weak

    • 2.The equality of PSPACE and NPSPACE contrasts sharply with P ≠ NP (conjectured), showing space and time complexity behave fundamentally differently.
      ?

      Think about whether this reason is strong or weak

    • 3.No known technique proves PSPACE ≠ NPSPACE, suggesting either they're equal or the question requires breakthrough methods beyond current tools.
      ?

      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.
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42