Editing Openai/690e5821-e2c8-8007-a5a4-e71fe35fb0ce (section)

===== 2.2.3 Integration Diagram (Figure Placeholder) =====

Figure 3. Embedding of CFSD Categories into the PCT Meta-Category

<syntaxhighlight>                        ┌────────────────────────────────────────┐
                        │       Pattern Category Theory (PCT)    │
                        │        Meta-category of pattern systems │
                        └───────────────┬────────────────────────┘
                                        │
                                        │  contains subcategories
                                        │
         ┌──────────────────────────────┼──────────────────────────────┐
         │                              │                              │
┌────────────────┐          ┌────────────────────┐          ┌────────────────────┐
│  CArtefacts    │          │  CProblemPatterns  │          │  CAnalysisPatterns │
│ (Observed data)│──F₁────▶│ (Diagnostic forms) │──F₂────▶│ (Analytical maps)  │
└────────────────┘          └────────────────────┘          └────────────────────┘
         │                              │                              │
         ▼                              ▼                              ▼
   Trace patterns                Log patterns                AI reasoning patterns
   Memory dumps                  Failure signatures          Cognitive anomalies

</syntaxhighlight>

Figure description:
This diagram situates the CFSD triad—artefacts, problem patterns, and analysis patterns—within the broader meta-category of Pattern Category Theory (PCT).
Each of CFSD’s categories becomes a sub-object or subcategory of the global pattern category P\mathcal{P}P, connected via functors representing pattern translation across representational domains.
These mappings generalize from diagnostic analysis to cognitive pattern reasoning, making software diagnostics a specific instantiation of a universal categorical mechanism.