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[Paper] Toward a Tractability Frontier for Exact Relevance Certification

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Summary

This theoretical paper investigates "exact relevance certification," a problem focused on identifying the essential coordinates for optimal decision-making in structured problems. It reveals that while some tractable families have a finite basis, the complexity of optimizer-quotient realizability prevents a simple characterization of the tractability frontier. The research also establishes a meta-impossibility theorem concerning efficiently checkable structural predicates.

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