Results A01 - Cycle 1 (Pilot)

Theorem: A01 - Established ordering in AI pipelineCycle date: 2026-04-16Cycle type: operational pilot (setup + pre-registration)

Cycle objective

Prepare A01 for robust empirical validation:1. definition of metrics and criteria;2. definition of test scheme P_ord vs P_cls;3. verify traceability in the manuscript.

Execution Cycle 1

1. Alignment of metrics with protocol:- Coh_Omega(D_t), Phi_Omega(D_t), Delta_Omega(D_t), Err_sem.2. Definition of criteria:- E[Delta_cum(P_ord)] < E[Delta_cum(P_cls)]- E[Err_sem(P_ord)] < E[Err_sem(P_cls)]3. Definition of falsification criteria:- no robust advantage across multiple benchmarks.

Outcome

• Cycle status 1: PASS (pilot setup)- Theorem status: in_proof (not yet validated)

What is validated in this cycle

• formal consistency of the theorem with the typified baseline;- complete minimum experimental protocol;- pre-registered confirmation/falsification criteria.

What's missing for validated

1. execution on independent benchmark #1;2. execution on independent benchmark #2;3. replicates in at least 2 contexts Omega;4. statistical evidence and reproducible logs.

Decision

A01 remains in_proof and advances to Cycle 2 (empirical benchmark).