1
\[ E_{t_1}(x)\equiv_{\text{byte}}E_{t_2}(x)\ \ \forall\,t_1,t_2,\qquad s(x)=H_{\textsf{SHA-256}}\!\big(\operatorname{canon}(E(x))\big),\qquad \sigma=1. \]
2
\[ c:\mathcal{O}\longrightarrow\mathcal{V},\qquad |\mathcal{V}|<\infty,\qquad \mathcal{V}\ \text{frozen at inception}. \]
3
\[ \Phi:\mathcal{T}\to\mathbb{R}^{9},\qquad C=1-\frac{\dim\Phi(\tau)}{\dim\tau}\approx 0.965,\qquad \rho=\frac{S_{\text{after}}}{S_{\text{before}}}\approx 1.06. \]
\[ \Delta C\cdot\Delta S\ \ge\ \kappa. \]
4
\[ G=\bigwedge_{i=1}^{6} g_i,\qquad \text{Class}=A \iff G=\top. \]
\[ \text{replay collapse}\ \succ\ \text{governance failure}\ \succ\ \text{architecture instability}\ \succ\ \text{drift}. \]
5
\[ \texttt{forced}\Rightarrow\texttt{keep},\quad \texttt{critical}\Rightarrow\texttt{keep},\quad \text{density}<0.35\Rightarrow\texttt{prune?};\qquad \text{preservation}=1.0. \]
6
| |
| | |
| high_d | same_fam | 28 | 14 | 0.500 |
| low_d | same_fam | 26 | 2 | 0.077 |
| high_d | diff_fam | 60 | 38 | 0.633 |
| low_d | diff_fam | 76 | 10 | 0.132 |
1
\[ G:\ \text{stochastic generation}\qquad E:\ \text{deterministic evaluation},\quad E \perp G. \]
2
\[ v_t = E(x_t, S_t),\qquad S_{t+1}=U(S_t,x_t),\qquad S_t \neq \varphi(x_t). \]
3
\[ H_{\mathrm{norm}}(p) = -\frac{1}{\log n}\sum_{i=1}^{n} p_i \log p_i \in [0,1],\qquad H_{\mathrm{norm}}(p) > \tau_3 \ \Rightarrow\ \text{suspend}. \]
4
\[ \mathrm{JSD}(P\Vert Q)=\tfrac12 D_{\mathrm{KL}}(P\Vert M)+\tfrac12 D_{\mathrm{KL}}(Q\Vert M),\quad M=\tfrac12(P+Q),\qquad \mathrm{JSD}>\tau_4 \ \Rightarrow\ \text{fork}. \]