Toward a Tractability Frontier for Exact Relevance Certification (arXiv 2504.06856)

Summary

This forum post introduces the paper 'Toward a Tractability Frontier for Exact Relevance Certification' by Tristan Simas (cs.CC, arXiv:2504.06856, posted April 9, 2025). The paper studies exact relevance certification: deciding which coordinates of a coordinate-structured decision problem are necessary for determining the optimal action. The main result is a meta-inpossibility theorem showing that any correct, efficiently checkable structural predicate that is closed under closure laws cannot remain invariant under the certification task. The proof is established by constructing same-orbit divergences for four families of obstruction instances. As a consequence, no correct tractable classifier can exist on the closed domain that exactly characterizes these families, delineating a tractability frontier for exact relevance certification. The post includes links to the arXiv page and was automatically collected by the forum on April 10, 2025.