Hypergendered Logic Source
Hypergendered Logic — Page 278
Supra finite literal expansion remains approximately six-way under naive copied syntax, while DAG storage shares predecessor state objects. Higher-category coordinate successor formulas contain five roles for Hyper and three for Ultra/Apex, but their source states are shared objects rather than recursively copied strings. PSIH/BSIH, SIH, and DimDomain remain symbolic bound descriptors. A limit at lambda stores the descriptor [1,lambda), not lambda-many materialized edges; proof queries synthesize the requested beta-specific closure fact. This is essential because lambda can be transfinite and the Hyperomega bound is not finitely enumerable. A compiler complexity estimate must distinguish formula-role count from source-domain cardinality. Five Hyper roles do not mean “five times aleph_omega physical objects” in memory; typed closures can be one descriptor plus lazy provenance rules. Likewise two architectures may both have aleph_omega-sized source domains and yet differ in coordinate dimension, role signature, and provenance topology. Appendix BV — Final Canonical Quick Reference: Axis-Complete Edition ORDER: SF/SM -> HF/HM -> UF/UM -> AF/AM. All category lifts are strict constructions, never endpoint identities. SUPRA: SF2=8; Stage3+=6; Supra limits=6-role LSCC Profile-Exclusion closure. SIH TAIL: SIH_axis(X[a]) sweeps a..Omega. PREFIX: PSIH_axis(X;<lambda) sweeps 1..lambda exclusively. HYPER COORD STEP=5 roles: IH-own + IH-NOT-opposite + PH-own + NOT-PH-opposite + UD-own. ULTRA/APEX COORD STEP=3 roles: IH-own + IH-NOT-opposite + UD-own. HYPER COORD LIMIT=prefix inheritance + PH-own + NOT-PH-opposite + UD-own over beta<lambda. ULTRA/APEX COORD LIMIT=prefix inheritance + UD-own over beta<lambda. HYPER DIM LIFT=5-role SIH-based recurrence. ULTRA/APEX DIM LIFT=3-role SIH+UD recurrence. QUALITY: SUQB Supra successor; CUQB H/U/A coordinate successor; generalized LQSA limits; DUQB dimensional lift; CSQB category lift; major bridge major transition. LOCAL NONFLAW: Supra guarantees NOT-FD own; H/U/A do not. Open FD status is not proof of damage. PH-10 strict profile novelty remains OPEN, not canonical. Appendix BW — Verifier Scope Contract: Axis-Complete Edition The accompanying Python suite verifies the stipulated fictional HGL syntax, bounded-domain semantics, coordinate/dimensional/category typing, category-specific role signatures, limit-constructor existence, prefix non-self/future inheritance, quality-bridge typing, strict nonidentity, named category order, representative transordinal bounds, and document-level regression rules. It cannot finitely enumerate Hyperomega-sized domains and therefore verifies symbolic membership/ordering claims. It does not prove real biology. Causal-inference and illustrative phenotype statements are status-checked rather than promoted to theorems.
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:278.