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Paper · arXiv

Minimum-Cost Robust Evidence Certificates for Horn Reasoning under Correlated Source Failures

A small justification for a rule-based conclusion may disappear when a source is withdrawn, and multiple derivations need not provide independent evidence. We study minimum-cost certificates that preserve a Horn conclusion under every withdrawal of at most k source domains. Evidence records remain distinct from asserted facts, supporting replicated attestations and overlapping failure dependencies. Transversals of minimal-support footprints characterize robustness and explain why disjoint-proof requirements can reject valid certificates. An exact procedure alternates weighted evidence selection with a source-failure oracle. A rule-closed counterinterpretation yields a globally valid selec...

AuthorsYukun Yang
Primary categorycs.AI
Published19 October 2026
Last updated at source19 October 2026
cs.AI
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