Coordinate Systems and Measurements: An Ontological Asymmetry in Corpus-Level AI Safety Audits

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Main Author: Williams, Andy E
Format: Recurso digital
Published: Zenodo 2026
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author Williams, Andy E
author_facet Williams, Andy E
contents <p>We designed a bidirectional corpus audit to test whether two AI safety research programs have complementary coverage gaps. The forward direction worked: a venue-relevant corpus (57 documents by the TAIGR workshop organizer) was evaluated against ten structural requirements derived from a minimal admissibility algebra, and specific gaps were identified. The reverse direction broke. The reason it broke is the paper’s main finding: the two corpora are different ontological kinds of objects. One is a collection of research contributions—experiments, methods, benchmarks. The other specifies a constraint algebra that functions as a coordinate system within which alignment approaches can be formulated and composed. A protocol designed to compare measurements with measurements does not generalize to comparing coordinate systems with measurements, because any finite subset of a coordinate system’s possible instantiations is a projection whose coverage depends on which projection was chosen. We report this ontological asymmetry as a scope condition on mutual-audit protocols in AI governance research, present the stable forward results as preliminary evidence of structural coverage gaps, and argue that the distinction between framework specifications and object-level contributions has practical consequences for how the TAIGR community evaluates its own research portfolio.</p>
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publishDate 2026
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spellingShingle Coordinate Systems and Measurements: An Ontological Asymmetry in Corpus-Level AI Safety Audits
Williams, Andy E
<p>We designed a bidirectional corpus audit to test whether two AI safety research programs have complementary coverage gaps. The forward direction worked: a venue-relevant corpus (57 documents by the TAIGR workshop organizer) was evaluated against ten structural requirements derived from a minimal admissibility algebra, and specific gaps were identified. The reverse direction broke. The reason it broke is the paper’s main finding: the two corpora are different ontological kinds of objects. One is a collection of research contributions—experiments, methods, benchmarks. The other specifies a constraint algebra that functions as a coordinate system within which alignment approaches can be formulated and composed. A protocol designed to compare measurements with measurements does not generalize to comparing coordinate systems with measurements, because any finite subset of a coordinate system’s possible instantiations is a projection whose coverage depends on which projection was chosen. We report this ontological asymmetry as a scope condition on mutual-audit protocols in AI governance research, present the stable forward results as preliminary evidence of structural coverage gaps, and argue that the distinction between framework specifications and object-level contributions has practical consequences for how the TAIGR community evaluates its own research portfolio.</p>
title Coordinate Systems and Measurements: An Ontological Asymmetry in Corpus-Level AI Safety Audits
url https://doi.org/10.5281/zenodo.19338723