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    The NP-completeness reduction IS the inference justificat... — Carmelics
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    Challenges→The inference from 'a polynomial algorithm exists for one NP-complete problem' to 'polynomial algorithms exist for all NP problems' treats existence as a transferable property, but Kripkean possible-worlds semantics demands we specify in which worlds and under which interpretations such algorithms exist.

    The NP-completeness reduction IS the inference justification: it logically entails that solving one implies solving all. No modal ambiguity needed.

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