ifc-0184

14.1 Three maintained theories

Let the current integrated state be

\[ \mathfrak M =\bigl(\mathbb S_C,\mathbb S_O,\mathbb S_R; \lambda _{CO},\lambda _{OR},\lambda _{RC}; \mathcal L,\mathcal A\bigr). \]

Here \(\mathbb S_C\), \(\mathbb S_O\), and \(\mathbb S_R\) are the current CLIC, OPTIC, and RELIC sketches. The maps \(\lambda \) are typed interfaces, not identifications of the three theories. In compact form, they carry

\[ \begin{aligned} \lambda _{CO}& :\text{causal packet}\longrightarrow \text{skill requirement},\\ \lambda _{OR}& :\text{skill packet}\longrightarrow \text{decision operation}. \end{aligned} \]

and \(\lambda _{RC}\) carries a decision-failure packet or information need to a causal experiment request. The store \(\mathcal L\) records versions, provenance, executions, and counter-witnesses. The admission family \(\mathcal A\) assigns domain-specific epistemic status. The notation \(O\) in OPTIC is used here to keep it distinct from the causal component \(C\) and the reinforcement-learning component \(R\).

The integrated target is therefore

\[ \mathsf{Target}_{\mathrm{meta}} =\bigl(Y_{COR},\mathbb S_{COR},\mathcal C_{COR}\bigr), \qquad Y_{COR}:=(Y_C,Y_O,Y_R), \]

where the deployable objects \(Y_C,Y_O,Y_R\) remain separate, while \(\mathbb S_{COR}\) presents their legal connections. The certificate family \(\mathcal C_{COR}\) produces both component admission records and tests of their interfaces. No component may silently promote another component’s proposal to an admitted fact.

Operationally, AGENTIC consumes status-bearing CLIC, OPTIC, and RELIC packets, not untyped summaries of their hidden states. It returns a workflow choice, new packet requests, or a versioned proposal for changing the meta-sketch, while preserving the status of every component claim. The interface may coordinate evidence acquisition, construction, and action; it may not replace their distinct admission records with one undifferentiated creativity score.

The maintained representational package is correspondingly broader than the three sketches:

\[ \mathfrak R_{\mathrm{AG}} =\bigl(\mathbb S_C,\mathbb S_O,\mathbb S_R; \lambda _{CO},\lambda _{OR},\lambda _{RC}; \mathsf{Obs}_{\mathrm{AG}},\mathsf{Adm}_{\mathrm{AG}}, \mathsf{Gram}_{\mathrm{AG}}\bigr). \]

The observer and admission components type interface evidence, while \(\mathsf{Gram}_{\mathrm{AG}}\) specifies the registered packet fields, workflow constructors, guards, and feedback laws. The AGENTIC creative mandate freezes this package, the component reference libraries, and the admissible control suite before an episode. Constructing a new legal graph inside \(\mathsf{Gram}_{\mathrm{AG}}\) is combinational or exploratory; changing a registered packet field, interface, constructor, observer, or admission rule requires a proposed package comparison

\[ \Upsilon _{\mathrm{AG}}: \mathfrak R_{\mathrm{AG}}\longrightarrow \mathfrak R_{\mathrm{AG}}^+. \]

Its presentation component may include \(J_{COR}:\mathbb S_{COR}\to \mathbb S_{COR}^+\), but that map is not the entire meta-level change.

The integrated artifact dossier retains all three operational outputs and their component dossiers, plus the package comparison \(\Upsilon _{\mathrm{AG}}\), transport and control records, and the interface admission records that justify their composition. In the experiments reported here, the constructed object is a response-conditioned workflow policy absent from the baseline declaration but assembled inside a registered packet and operation grammar. A genuinely new workflow constructor would be a stronger transformational artifact and is not established by those results.

. Integrate creativity systems by composing their declared interfaces and status-bearing admission records, not by concatenating their prompts or hidden states.