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    Made withinDC&Austin
    NC is a subset of P — Carmelics
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    Home/Truth & Knowledge
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    NC is a subset of P

    All sources support itTruth & Knowledge
    ?Rate how convincing each reason is below to see the overall strength.
    4 reasons for
    0 reasons against

    Reasons For

    4 perspectives
    Reason for 1 of 4
    ?
    • 1.Any PRAM machine which runs in time O(log^c(n)) using O(n^k) processors can be simulated by a polynomial time sequential machine
      ?

      Think about whether this reason is strong or weak

    • 2.NC is defined as the class of problems solvable in polylogarithmic time using polynomially many processors
      ?

      Think about whether this reason is strong or weak

    Reason for 2 of 4
    ?
    • 1.Any PRAM machine running in time O(log^c(n)) using O(n^k) processors can be simulated by a polynomial-time sequential machine
      ?

      Think about whether this reason is strong or weak

    • 2.NC is defined as the class of problems solvable by PRAM machines in polylogarithmic time with polynomially many processors
      ?

      Think about whether this reason is strong or weak

    Reason for 3 of 4
    ?
    • 1.Any PRAM machine which runs in time O(log^c(n)) using O(n^k) processors can be simulated by a polynomial time sequential machine
      ?

      Think about whether this reason is strong or weak

    • 2.NC is defined as the class of problems solvable by PRAM machines running in polylogarithmic time with polynomially many processors
      ?

      Think about whether this reason is strong or weak

    Reason for 4 of 4
    ?
    • 1.Any PRAM machine running in time O(log^c(n)) using O(n^k) processors can be simulated by a polynomial time sequential machine
      ?

      Think about whether this reason is strong or weak

    • 2.NC is defined as the class of problems solvable by PRAM machines in polylogarithmic time with polynomially many processors
      ?

      Think about whether this reason is strong or weak

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    Proof of definition segments3 linkedModality & Possibility2 linked

    Related

    Any PRAM machine running in time O(log^c(n)) using O(n^k) processors can be simu...Any PRAM machine running in time O(log^c(n)) using O(n^k) processors can be simu...Any PRAM machine which runs in time O(log^c(n)) using O(n^k) processors can be s...NC is defined as the class of problems solvable by PRAM machines in polylogarith...
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    NC is defined as the class of problems solvable by PRAM machines running in poly...NC is defined as the class of problems solvable in polylogarithmic time using po...

    Similar

    PSPACE is a subset of NPSPACE100%P is a subset of NP100%P is a subset of BPP100%PSPACE is a subset of NPSPACE (PSPACE ⊆ NPSPACE)96%

    Source

    AI-extracted1/3 agreementValid
    SEP: computational-complexity
    View source passageHide passage
    Nonetheless, \(\mathfrak{P}\) is a useful theoretical model in that it provides a formal medium for implementing procedures which call for certain operations to be carried out simultaneously in parallel. g. , Papadimitriou 1994). But this observation would still be of little practical significance if the algorithms in question achieved such speed up only at the cost of having to employ exponentially many processors relative to the size of their inputs. For in this case it seems that we would hav
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    4 (4 for, 0 against)
    Edits
    1 edit