Graph Projection
Reference: This page is a source-based technical synthesis of the LaTeX chapter cited below. For exact syntax, availability or ABI signatures, verify the versioned source, manifest and executable tests.
Scope and source boundary
A graph view of the Hypergraph is a projection for traversal and display; it must preserve the identity and roles of the underlying multi-ary relations.
The conceptual Hypergraph represents concepts, instances, and relations rather than a simple collection of binary edges. Its structure preserves semantic roles and supports querying conceptual compositions. Native graph construction and construction through H-Logic are different authoring surfaces for the semantic layer; the source guides distinguish them from application metadata and runtime execution objects.
Engineering rules
- Identify concept types and instances before defining relations.
- Preserve the identity and role mapping of a polyadic relation during traversal or query.
- Keep the semantic representation distinct from a visual projection or an execution cache.
- Use the source contract when choosing direct native construction or an H-Logic parser.
Chapter outline (original LaTeX headings)
- Why Hypergraph Memory Matters
- Concepts, Relations and Hyperedges
- A YAML Example: Hypergraph and Database Facets
- Hypergraph Memory and Runtime Execution
- Relation with AI and Semantic Memory
- Persistent Structural Pattern Evaluation
LaTeX provenance
Primary chapter: Declarative Conceptual Programming with the logiCells Platform/developer-guide/chapters/conceptual-graphs-and-hypergraph-memory.tex.