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    Most natural NP-complete reductions (e.g., Cook-Levin) do... — Carmelics
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    Challenges→Polynomial-time reducibility preserves decision-problem solvability in principle, but the reduction itself may introduce constant or hidden complexity factors that render the composed algorithm impractical even if formally polynomial.

    Most natural NP-complete reductions (e.g., Cook-Levin) do introduce overhead, but this reflects problem hardness, not a flaw in reducibility as a formal tool.

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