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    TIME(t1(n)) is a proper subset of TIME(t2(n)) when t2 gro... — Carmelics
    Home/Modality & Possibility
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    TIME(t1(n)) is a proper subset of TIME(t2(n)) when t2 grows sufficiently faster than t1

    Modality & Possibility
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    1 reason for
    0 reasons against

    Reasons For

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    Reason for
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    • 1.t1(n) and t2(n) are time constructible
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    • 2.The limit of t1(n)log(t1(n)) / t2(n) as n approaches infinity equals 0
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    Modality & PossibilityProof of definition segments

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    Related

    The limit of t1(n)log(t1(n)) / t2(n) as n approaches infinity equals 0t1(n) and t2(n) are time constructible

    Similar

    NTIME(t1(n)) is a proper subset of NTIME(t2(n)) when t2 grows sufficie...100%TIME(t1(n)) is a proper subset of TIME(t2(n)) when t2(n) grows suffici...100%NTIME(t1(n)) is a proper subset of NTIME(t2(n)) when t2(n) grows suffi...99%SPACE(s1(n)) is a proper subset of SPACE(s2(n)) when s2(n) grows suffi...95%

    Source

    AI-extracted1/3 agreementValid
    SEP: computational-complexity
    View source passageHide passage
    On the other hand, if \(x \not\in X\), then all of \(N\)’s computations from \(C_0(x)\) are required to lead to rejecting states. Non-deterministic machines are sometimes described as making undetermined ‘choices’ among different possible successor configurations at various points during their computation. But what the foregoing definitions actually describe is a tree \(\mathcal{T}^N_{C_0}\) of all possible computation sequences starting from a given configuration \(C_0\) for a deterministic mac
    Extraction notes

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

    Details

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