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    Carmelics

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    Home/Original/inverse
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    Inverse View

    It is not the case that Physical realizability is not the sole criterion of theoretical significance; complexity classes defined by exponential parallelism illuminate fundamental structural boundaries in computation.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Exponential parallelism assumes unlimited communication and synchronization—physically unrealizable constraints that distort theoretical relevance.
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    • 2.Without grounding in physical realizability, complexity classes become mathematical artifacts disconnected from what computation actually achieves.
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    • 3.Fundamental structural boundaries should reflect real-world constraints; idealized models risk identifying pseudo-boundaries irrelevant to practice.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Physical realizability alone excludes theoretically rich structures (e.g., Turing machines) that reveal computation's abstract limits.
      ?

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    • 2.Exponential parallelism classes like NC and PRAM identify qualitative jumps in problem solvability independent of physical implementation.
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    • 3.Understanding computational boundaries requires abstract model diversity; physical constraints are empirical questions, not theoretical foundations.
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