
What happened
Kenya Kondo's Ariadne Boundary Repair Theorem, illustrated on a three-value model, shows repair is possible without observations, but a concrete repair needs x and y — 2 queries if both unknown, 1 if one is known.
Why it matters
This separates the cost of judging 'can this be fixed?' from the cost of returning an actual fix, suggesting AI-assisted refactors could be checked against a spec without humans reading every line.
What to watch
The result holds only in the small finite-field model; applying it to real code still requires verifying the code-to-model mapping, building it into ArchSig, and real-world validation, all listed as future work.
WHO IT HITSDevelopers and teams delegating refactors to AI agents may benefit most, since the result points to a way of confirming a protected spec is preserved without reading every generated line — though the practical tooling, ArchSig, does not yet exist.
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