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    Inverse View

    It is not the case that Polynomial-time tractability is defined relative to a specific machine model; problems tractable on parallel or quantum architectures may remain intractable on Turing machines, undermining the universality CET requires.

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    Reasons For

    1 perspective
    Reason for
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    • 1.CET defines tractability relative to standard Turing machines, not all possible architectures—it makes no universality claim about quantum or parallel models.
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    • 2.Quantum speedups exploit superposition/entanglement, not fundamentally new computational principles; polynomial hierarchy still constrains what's efficiently solvable.
      ?

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    • 3.Machine-relative tractability is expected and unproblematic; CET's universality applies within Church-Turing equivalence class, where polynomial-time is robust.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Quantum computers solve certain problems (factoring, discrete log) in polynomial time where classical Turing machines require exponential time.
      ?

      Think about whether this reason is strong or weak

    • 2.If computational tractability varies across machine models, then P≠NP on classical machines may not reflect fundamental problem difficulty universally.
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    • 3.CET claims polynomial-time captures a natural, machine-independent notion of efficiency, but empirical tractability contradicts this universality claim.
      ?

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