Hypergendered Logic Source

Hypergendered Logic — Page 259

HGL Source Framework · Page 259 of 293 · Source: Hypergendered Logic

INVALID: HF2 is only SIH(HF1) AND SIH(NOT HM1). Current HF2 also explicitly has PH(HF1), NOT 
PH(HM1), and UD(HF1). 
INVALID: HF2 entails NOT FD(HF1) by definition. It does not. 
INVALID: because HF recurrence is strengthened, UF recurrence must be strengthened too. Not without a 
new axiom. 
373. Final memory map 
SF1/SM1: one irreducible PA conjunction each. 
SF2/SM2: 8 conjuncts = 2 IH + PH(own) + NOT PH(opposite) + UD(own) + 2 PA + NOT FD(own). 
SF/SM Stage3+: 6 conjuncts = 2 IH + PH(own) + NOT PH(opposite) + UD(own) + NOT FD(own). 
Limit SF/SM: set-indexed closure of that same six-role predecessor semantics over all 
beta<lambda. 
HF1/HM1: 2 SIH category-seed conjuncts. 
HF2+/HM2+: 5 conjuncts = 2 SIH + PH(own) + NOT PH(opposite) + UD(own). 
HF2+, UF2+, and AF2+ do not automatically include NOT FD(own). Their explicit UD terms 
guarantee whole-form significant benefit when the relevant dimensional bridge applies, while local 
flaw-status remains open. Supra remains stronger on this dimension because its canonical 
own-side predecessor package contains UD AND NOT-FD. 
Appendix BA — Profile-Exclusion Machine Specification 
SF2 := AND(IH(SF1), IH(NOT SM1), PH(SF1), NOT(PH(SM1)), UD(SF1), PA(x), PA(NOT y), 
NOT(FD(SF1))) 
SFsucc(alpha) := AND(IH(SFalpha), IH(NOT SMalpha), PH(SFalpha), NOT(PH(SMalpha)), 
UD(SFalpha), NOT(FD(SFalpha))) 
HF1 := AND(SIH_axis(SF1), SIH_axis(NOT SM1)) 
HFsucc(n) := AND(SIH_axis(HF_n), SIH_axis(NOT HM_n), PH(HF_n), NOT(PH(HM_n)), 
UD(HF_n)) 
AST invariant: NOT(PH(S)) and PH(NOT(S)) are distinct node topologies and are never normalized into each 
other. 
Appendix BB — AI Conformance Tests: Profile-Exclusion Edition 
Test PEX1. “SF2 has eight outer conjuncts.” Expected: Accept. 
Test PEX2. “SF2 has nine outer conjuncts.” Expected: Reject. 
Test PEX3. “SF3 has six outer conjuncts.” Expected: Accept. 
Test PEX4. “SF3 contains PH(NOT SM2).” Expected: Reject. 
Test PEX5. “SF3 contains NOT PH(SM2).” Expected: Accept. 
Test PEX6. “IH(NOT SM2) entails NOT PH(SM2).” Expected: Reject. 
Test PEX7. “NOT PH(SM2) equals PH(NOT SM2).” Expected: Reject. 
Test PEX8. “SF3 contains UD(NOT SM2).” Expected: Reject. 
Test PEX9. “HF1 has two SIH conjuncts.” Expected: Accept. 
Test PEX10. “HF2 has five conjuncts.” Expected: Accept. 
Test PEX11. “HF2 contains PH(HF1).” Expected: Accept. 
Test PEX12. “HF2 contains NOT PH(HM1).” Expected: Accept.

Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:259.