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arXiv

Researchers propose certified mechanistic edits, proving skill removal and preservation over continuous embedding regions via sound bound propagation and showing no finite black-box test can certify removal

The work upgrades mechanistic edits (ablations, weight edits, activation steering) from test-based validation to behavioral certification: for every input in a continuous embedding-space region it proves that disabling a circuit removes one skill and preserves another, demonstrating removal and preservation from toy ReLU networks up to a standard softmax + LayerNorm transformer, and using sound bound propagation to reach roughly 9x the input-perturbation dimension an exact solver can handle; it further proves that no finite deterministic black-box test can certify removal, exhibiting an edit that passes exhaustive testing yet provably fails on a survivor pocket that can be made arbitrarily small.