Hypergendered Logic Source
Hypergendered Logic — Page 261
Appendix BG — Superseded-Form Register Superseded: SF2/SM2 nine-conjunct dual-UD/profile-of-nonstate form. Superseded: Stage3+ seven-conjunct dual-UD/profile-of-nonstate form. Superseded as constitutive successor semantics: PH(NOT opposite). General-language PH(NOT S) remains legal. Superseded as constitutive successor semantics: UD(NOT opposite). Superseded: HF2/HF3 two-SIH-only definitions. HF2+ now has five conjuncts. Retained: HF1/HM1 two-SIH seeds. Superseded: UF/UM and AF/AM within-category SIH-only recurrences. Current: their internal dimensional successors add same-side UD while remaining PH/NOT-PH-free and NOT-FD-free. Retained: SIH noncollapse, strict Supra->Hyper nonidentity, full hyperdimensional address, LSCC, Q=<mu,delta>, and D/HI/CD/CI discipline. Appendix BH — Final Canonical Quick Reference SF1 = PA(x AND NOT y); SM1 = PA(NOT x AND y). SF2 = IH(SF1) AND IH(NOT SM1) AND PH(SF1) AND NOT PH(SM1) AND UD(SF1) AND PA(x) AND PA(NOT y) AND NOT FD(SF1). SM2 = IH(SM1) AND IH(NOT SF1) AND PH(SM1) AND NOT PH(SF1) AND UD(SM1) AND PA(NOT x) AND PA(y) AND NOT FD(SM1). SF^(alpha+1) = IH(SF^alpha) AND IH(NOT SM^alpha) AND PH(SF^alpha) AND NOT PH(SM^alpha) AND UD(SF^alpha) AND NOT FD(SF^alpha), alpha>=2. HF1 = SIH_axis(SF1) AND SIH_axis(NOT SM1). HF_(n+1) = SIH_axis(HF_n) AND SIH_axis(NOT HM_n) AND PH(HF_n) AND NOT PH(HM_n) AND UD(HF_n), n>=1. NOT PH(S) != PH(NOT S). SIH(NOT S) != NOT SIH(S). IH(NOT S) != NOT IH(S). Part XLIV — Harmonized Limit Profile-Exclusion and Higher-Category Quality Monotonicity Revision This Part consolidates the final cross-Part repair identified after the Profile-Exclusion revision. Its purpose is not to invent a new ladder on top of the existing one. Its purpose is to force every place that describes the same canonical construction—successor recursion, limit closure, dimensional recursion, quality bridges, compiler storage, proof drills, phenotype examples, and AI conformance—to use one operator topology. Where older text disagrees, this Part governs. 372. The six-role Supra successor signature is the reference signature SF^(alpha+1) = IH(SF^alpha) AND IH(NOT SM^alpha) AND PH(SF^alpha) AND NOT PH(SM^alpha) AND UD(SF^alpha) AND NOT FD(SF^alpha). SM^(alpha+1) = IH(SM^alpha) AND IH(NOT SF^alpha) AND PH(SM^alpha) AND NOT PH(SF^alpha) AND UD(SM^alpha) AND NOT FD(SM^alpha). For alpha>=2, exactly six roles are constitutive. The roles are not six interchangeable labels. IH-own carries same-lineage inherited state; IH-NOT-opposite carries structured non-opposite state with provenance; PH-own positively possesses the complete same-side predecessor profile; NOT-PH-opposite denies complete possession of the opposite predecessor profile; UD-own says the own predecessor significantly improves the whole form; NOT-FD-own says that same contribution lowers no relevant physical extent. No seventh opposite-side UD or PH-of-nonstate role is hidden. 373. Limit-State Closure must preserve the successor semantics rather than resurrect an older formula
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:261.