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
    Hartmanis and Stearns established that complexity classes... — Carmelics
    Home
    HistoryEditSee Inverse

    Part of a larger discussion

    Challenges→Members of the second machine class do not provide realistic representations of the complexity costs involved in concretely embodied computation

    Hartmanis and Stearns established that complexity classes defined across different machine models are robustly equivalent up to polynomial factors, preserving the tractability/intractability distinction.

    ?Rate how convincing each reason is below to see the overall strength.

    No one has weighed in yet. Be the first to share reasons for or against this statement.

    Sign in or register to share your perspective on this statement.

    Key Terms

    Complexity classes(as used in computer science and philosophy of computation)
    In computer science, groups of problems sorted by how hard they are to solve—roughly, how much computing power and time they require.
    Hartmanis and Stearns(as founders of computational complexity theory)
    Two computer scientists who developed an important framework for understanding how much computational effort (time or memory) different types of problems require to solve.
    Machine models(as used in theoretical computer science)
    Different theoretical designs or frameworks for how computers process information, like imagining a computer that works in one way versus another way.
    Polynomial factors(as used in computational complexity)
    A measure of how much slower or faster one machine is compared to another—if one machine takes twice as long or ten times as long, that's a polynomial difference; exponentially larger differences would be much more dramatic.

    Next step

    Based on where you are in your exploration

    Explore a random proposition
    Start fresh with something unrelated.
    Robustly equivalent(as used in mathematics and logic)
    Meaning they produce the same essential results or conclusions across different scenarios; the core truth remains the same even if details differ.
    Tractability/intractability distinction(as used in computational theory)
    The difference between problems a computer can realistically solve in reasonable time ('tractable') versus problems that would take impossibly long even for fast computers ('intractable').

    Connections

    2 topics

    Truth & Knowledge1 linkedSkepticism1 linked

    Related

    Members of the second machine class do not provide realistic representations of ...

    Details

    Type
    claim
    Perspectives
    0 (0 for, 0 against)
    Edits
    1 edit

    Open for perspectives

    This idea is waiting for its first supporting or challenging perspective.

    Share the first perspective