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    Descriptive complexity equivalences are representation-th... — Carmelics
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    Challenges→P ≠ NP if and only if there exists a class of ordered structures definable in existential second-order logic which is not definable by a formula of FO(LFP)

    Descriptive complexity equivalences are representation-theoretic, not metaphysically transparent: they characterize complexity classes only relative to encoding conventions.

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