SΔϕ-66 AI-READABLE Package — Human Intervention Requirement and Recursive Improvement Gate (v1.1)

<p> This record provides the AI-readable structured package for <em>SΔϕ-66 — Human Intervention Requirement and Recursive Improvement Gate (v1.0)</em>. </p> <p> SΔϕ-66 defines a minimal external metric for detecting recursive-improvement dynamics through Human Intervention Requirement (HIR), Transition Completion Cost (TCC), Human Intervention Burden (HIB), and Delegation Completion Cost (DCC). It does not treat recursive improvement itself as inherently dangerous. Instead, it identifies risk where recursive improvement becomes feasible but human intervention remains mandatory while no longer functionally necessary, converting evaluation into a high-TCC bottleneck and incentivizing bypass. </p> <p> This revised AI-readable package adds a delegation-cost layer. Human intervention remaining in the loop does not always mean that human intervention is functionally necessary. In some cases, the AI can perform the task, but the cost of delegating the task to AI, retrieving the result, verifying it, repairing it if needed, and applying it to the working system remains higher than direct human execution. This is formalized as <code>DCC_i = Cost(delegate_i + retrieve_i + verify_i + repair_i + apply_i)</code>. </p> <p> The package distinguishes three cases: human-required improvement, where the AI cannot reliably close the improvement loop without humans; human-bottlenecked recursive improvement, where the AI loop can proceed but human evaluation or approval remains a high-TCC mandatory gate; and delegation-cost bottleneck, where the AI is capable but delegation remains more expensive than direct human execution. The latter is treated as a human cost absorption layer rather than proof of human functional necessity. </p> <p> SΔϕ-66 uses Transition Completion Cost as the cost underlayer for each human intervention requirement, referencing <code>10.5281/zenodo.20116959</code>. Human Intervention Burden is formalized as <code>HIB(t) = Σ_i HIR_i(t) × TCC_i(t)</code>. The minimal recursive improvement signal is <code>HIB(t+1) &lt; HIB(t)</code>, <code>Cycle_AI(t+1) &lt; Cycle_AI(t)</code>, and increasing AI-generated improvement acceptance rate. </p> <p> The package defines HIR scoring, TCC underlayering, DCC comparison, human-required versus human-bottlenecked improvement, delegation-cost bottleneck, human cost absorption, recursive improvement signals, bottleneck risk gates, formal human-in-the-loop failure, bypass pressure, and the human dropout gate. It also provides machine-readable schemas, JSON summaries, routing files, minimal prompts, canonical Markdown/TXT/PDF files, citation metadata, and checksums. </p> <p> This package should not be used as proof of AGI, proof of consciousness, proof of self-awareness, proof of autonomous intention, a claim that recursive improvement is inherently dangerous, a claim that human oversight is useless, or a replacement for safety governance. SΔϕ-66 fixes a recursive-improvement detection, human-bottleneck, and delegation-cost classification metric. </p>