Input statement: XIV-A: the observable ledger

With $\mathcal{O}={{\Phi }^{(2)}}_{\mathrm{D}}+{\mathcal{A}}_1[f,g](r_g[\varphi ];\varphi )$ the unchanged lift, ${{\mathcal{C}}_{\mathrm{sol}}}^{\mathrm{bos}}=\{\square \gamma =0,P_m\varphi =0,b=D\gamma \}$ and ${{\mathcal{C}}_{\mathcal{W}}}^{\mathrm{bos}}=\{u\in {{\mathcal{C}}_{\mathrm{sol}}}^{\mathrm{bos}}:D^{\ast }b=0\text{ on }W\}$, under {(UCP${}_W$)}

and, for relative ghosts $c\in {\mathfrak{g}}_W\otimes {\Lambda }^{\mathrm{odd}}$ on ${{\mathcal{C}}_{\mathrm{sol}}}^{\mathrm{bos}}$,

with $⟨{{\mathcal{O}}^{\prime \prime }}_{\gamma \gamma },K\xi \otimes K\xi ⟩=0$ on ${{\mathcal{C}}_{\mathrm{sol}}}^{\mathrm{bos}}$. The master equation does not decide XII-F XIVA,XIIF.