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    Carmelics

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    Home/Original/inverse
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    It is not the case that Constructing a truth table is exponential in the number of variables, not polynomial, so it cannot serve as the baseline for 'no harder than'.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Truth tables directly encode logical equivalence; their exponential size reflects the problem's inherent information content, not measurement error.
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    • 2.Comparison is meaningful even between intractable methods; we can still say algorithm A is 'no harder than' algorithm B if A's complexity ≤ B's.
      ?

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    • 3.Restricting baselines to polynomial algorithms begs the question by assuming only polynomial bounds count as legitimate reference points.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Exponential algorithms (2^n) are fundamentally distinct from polynomial ones in computational complexity theory and practice.
      ?

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    • 2.Using an exponential-time procedure as a baseline allows intractable problems to appear tractable by comparison.
      ?

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    • 3.For complexity comparisons to be meaningful, the reference point must itself be efficiently computable.
      ?

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