NeuroSymbolic V8.0 — Cohomology-Reduced Narrative Generator
90% structural reduction via cohomology isomorphisms. Redundant chain complexes (centroid 4D→scalar, saw-wave→flat temp, fuzzy controller→linear, activator→hash-embed) collapsed to their H₀ invariants. Probability distributions: low differentiation (high add_k, uniform temperature).
0 3000
100 800
2 6
0.8 2.5
Cohomology Isomorphisms Applied
| V7.2 Component | Reduced To | Invariant Preserved |
|---|---|---|
CentroidComputer (4D vectors, Betti proxies) |
centroid_boost() scalar |
H₀ semantic proximity |
NeuronalActivator (LSTM + training) |
HashEmbedder dot product |
Pairwise token affinity |
FuzzyWeightController (5 rules, MFs) |
Fixed temperature | Distribution softness |
DiscreteHemiContinuity (top-k tracking) |
EMA (α=0.3) | Distributional continuity |
| Saw wave modulation (8-tooth) | Uniform temp | Entropy floor |
QuadgramLM (4-gram) |
NGramLM (trigram, add_k=1.5) |
Flat next-token dist |