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SCC Canonical Spec — Part 5: Proved Results Registry & Closing Notes
Sections 13–15 of the SCC canonical specification (CV-1.11). 78 formal claims, 54 Category A + 14 Category B + 5 Category C + 5 retracted, ~69% fully proved. W6 additions: T-ST-5a (Stereo-SCC), T-OP6-B (OP-0006 RESOLVED), P-F-A1 Package I fully Cat A, T-K-Select-PF/OBS (partial OP-0005), OMS-2.0 Full. Consolidated commitment notes (CN1–CN17).
Soft Cognitive Cohesion — Canonical Specification (CV-1.11)
Aligned with Perception_theory canonical CV-1.11 (2026-05-06). 54 Category A + 14 Category B + 5 Category C + 5 Retracted = 78 claims, ~69% fully proved. OMS-2.0 Accepted — Full.
SCC — Research Status Snapshot (April 2026, W5 Day 1 G0 close, CV-1.5) — HISTORICAL
Historical SCC status snapshot frozen at W5 Day 1 G0 close (2026-04-27, CV-1.5) — 43 Cat A / 57 claims / 75% proved, the W4 resolution of the 3 Critical OPs (F-1, M-1, MO-1), and the W5 Day 1 G0 σ-framework canonical merge. Superseded; for the active living status page see scc-status-2026-05.
SCC — Current Research Status (May 2026, CV-1.17)
Active SCC status as of CV-1.17 (sealed 2026-05-15 — W7 close). Ledger: 68 Cat A + 19 B + 6 C + 5 Retracted = 98 claims, ~70% proved; 215 passed + 1 xfailed. H-COMP-KERNEL CLOSED Cat B. H-MORSE partially closed. First _archive/ cohort instantiated.
SCC Theorem Registry
54 Category A + 14 Category B + 5 Category C + 5 retracted (78 claims, ~69% fully proved). Aligned with Perception_theory canonical CV-1.11 (2026-05-06). W6 additions: T-ST-5a (CV-1.6), T-OP6-B/OP-0006 RESOLVED (CV-1.7), P-F-A1 Package I fully Cat A (CV-1.8–CV-1.9), T-K-Select-PF/OBS Cat B (CV-1.10–CV-1.11), OMS-2.0 Accepted — Full.
Main Theorems A–H
Complete statements and full proofs of the eight core theorems of RelationWorld Theory — energy isolation, door finiteness, self-interpretation, metastability, curvature localisation, spectral stability, door stability, and flow stability.
Part II · Main Theorems A–H (summary)
A condensed statement of the eight main theorems of RelationWorld Theory with one-paragraph proof ideas and their logical dependencies. Full proofs live in the research archive.
SCC Hero Theorems — 16 Major Results
Curated index of the 16 hero theorems of Soft Cognitive Cohesion (CV-1.11). Foundation, phase transition + stability, W4 Pre-Objective Mechanism, W5 multi-formation bridge (T-L1-F), W6 stereo + boundary (T-ST-5a, T-OP6-B), and W6 stochastic foundation (P-F-A1 Package I). Full proofs live in the canonical spec.