Definition. Fixed meta-operation [ftip-00EK]
Definition. Fixed meta-operation [ftip-00EK]
A fixed meta-operation is a single map \(\Omega \) whose code and prompt template are held fixed across depths. For task set \(\mathcal T\), traces \(\boldsymbol \tau _{d-1}\), code stack \([C_2,\ldots ,C_{d-1}]\), and depth \(d\),
\[\Omega (\boldsymbol \tau _{d-1},[C_2,\ldots ,C_{d-1}],\mathcal T,d)=C_d.\]Only the input to \(\Omega \) changes with depth; this is a declared protocol condition, not a claim that every implementation obeys it.