Institution-Relative Pairwise Information Necessity for Metadata-Conditioned Black-Box Acceptance

Abstract

This preprint develops a mathematical theory of institution-relative black-box acceptance under metadata-conditioned auditing, where decisions rely on publicly auditable evidence rather than internal model states. It formalizes common-law control states, certified support, selector legality, provenance factorization, and non-vacuity boundaries, and proves necessity lower bounds on witness-level divergence and source information under declared false-accept and false-reject constraints.

Keywords

• black-box acceptance
• metadata-conditioned auditing
• institution-relative admissibility
• common-law control state
• auditability
• AI audit theory
• model evaluation
• Kullback-Leibler divergence
• provenance factorization
• certified support
• selector legality
• non-vacuity boundary

Identifiers and source records

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