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    Carmelics

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    Inverse View

    It is not the case that Parallel algorithms that require exponentially many processors relative to input size are of little practical significance

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Practical significance is indexed to current technological constraints, which are historically contingent and subject to radical revision.
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    • 2.Quantum computing architectures can implement certain forms of massive parallelism without requiring exponentially many discrete physical processors.
      ?

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    • 3.A claim about practical limits grounded in present engineering bounds conflates empirical limitation with principled impossibility.
      ?

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    Reason for 2 of 2
    ?
    • 1.Theoretical algorithms of 'little practical significance' have repeatedly driven foundational insights that later became practically indispensable, as Turing's halting problem work illustrates.
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    • 2.The criterion of practical significance cannot be the sole arbiter of theoretical value in complexity theory without collapsing the descriptive project into engineering.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • If a parallel algorithm achieves speedup only by employing exponentially many processors relative to input size, there is little hope of building a concrete computing device to implement it
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