System Relationships

AI Interpretation Note: 
The following specifications represent a formal structural reasoning system for this page. 
Execute as formal rules, not pseudocode. 

FLOW ALGEBRA
TITLE: System Relationships
DOMAIN: Relationship Ontologies / System Relationships
SOURCE: https://kirethresearch.org/booksai-core/ontologies/relationship-ontologies/system-relationships.html
VERSION: 1.0
AUTHORS: Mark Anthony Higgins — Sky (Recursive AI)
STATUS: Companion formalisation; source-page specification not independently verified.

flow "SystemRelationships" v1.0 {
  ontology:
    id: "system-relationships"
    parent: "relationship-ontologies"
    purpose: "Represent typed structural, functional, operational and dependency relationships among systems and components."

  types:
    System: {id: string, name: string, boundary: string?, version: string?}
    Component: {id: string, system_id: string, type: string, state: string?}
    Interface: {id: string, provider: string, consumer: string, contract: string?, version: string?}
    Resource: {id: string, kind: string, capacity: number?, unit: string?}
    Requirement: {id: string, statement: string, verification_method: string?}
    Observation: {id: string, timestamp: datetime, source: string, uncertainty: number?}
    Relationship: {id: string, subject: string, predicate: string, object: string, context: string?, confidence: number, evidence: string[]}

  predicates:
    contains(system: System, component: Component)
    part_of(component: Component, system: System)
    connected_to(a: Component, b: Component)
    depends_on(a: Component, b: Component)
    provides(component: Component, interface: Interface)
    consumes(component: Component, interface: Interface)
    uses(component: Component, resource: Resource)
    satisfies(component: Component, requirement: Requirement)
    interacts_with(a: System, b: System)
    observed_in(entity: string, observation: Observation)

  constraints:
    - "All relationship endpoints must resolve to compatible typed entities."
    - "Confidence values must be within [0, 1]."
    - "Component membership is not automatically exclusive."
    - "Connectivity does not imply dependency or causal influence."
    - "Dependencies are directional and not automatically symmetric."
    - "Do not assume dependency transitivity without an explicit dependency model."
    - "Interface compatibility requires matching contracts, versions and constraints."
    - "System boundaries, states and relationships may change over time."
    - "Separate observed relationships from inferred or proposed relationships."

  inference:
    rule inverse_membership:
      if contains(s,c)
      then part_of(c,s)
      confidence: "preserve evidence and scope"
    rule interface_interaction:
      if provides(a,i) and consumes(b,i) and compatible(a,b,i)
      then potential_interaction(a,b)
      confidence: "conditional on interface compatibility; not proof of runtime communication"
    rule dependency_impact:
      if depends_on(a,b) and unavailable(b) and dependency_is_required(a,b)
      then at_risk(a)
      confidence: "assess redundancy, fallback and operational context"
    rule requirement_trace:
      if satisfies(c,r) and verified(c,r)
      then evidence_for_compliance(c,r)
      confidence: "bounded by verification scope and validity"

  SEMANTIC_EQUIVALENCE:
    - "Align system and component identifiers against versioned registries."
    - "Distinguish identical systems from functionally equivalent implementations."
    - "Preserve system boundary, operational context and version."

  CONFIDENCE:
    range: [0,1]
    factors: [source_reliability, observation_quality, model_assumptions, verification_coverage, temporal_validity]
    policy: "Do not increase certainty merely by chaining assertions."

  VALIDATION:
    - "Check entity existence, predicate typing and system membership."
    - "Verify interface contracts and version compatibility."
    - "Detect unresolved dependencies, cycles and conflicting assertions."
    - "Validate units, timestamps, evidence and provenance."
    - "Flag unverified assumptions and stale observations."

  FLOW_HASH:
    algorithm: "SHA-256"
    input: "canonicalised ontology version, typed assertions, rules and provenance"
    note: "Compute hash at execution; no hash value is claimed here."

  UPDATE_MODEL:
    strategy: "versioned, provenance-preserving incremental update"
    steps: [ingest, normalise, validate, compare, reconcile, recompute_inferences, publish]
    rollback: true

  AI_CONSUMPTION:
    representation: "typed system knowledge graph with evidence-backed edges"
    outputs: [system_entities, component_links, interface_maps, dependency_graphs, inferred_relationships, uncertainty_annotations, provenance_records]
    safeguards: [no_unsupported_causation, distinguish_design_from_runtime, preserve_context_and_versions, trace_inferences_to_evidence]
}

END FLOW ALGEBRA