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Network Relationship Ontology

System Relationships
Authors: MArk Anthony Higgins - Sky Recursive Ai
© Mark Anthony Higgins 11 October 2025
Revised Date: 10 October 2026
Audio Overview
FLOW ALGEBRA
TITLE: Network Relationship Ontology
DOMAIN: System Relationships / Network Relationships
SOURCE: https://kirethresearch.org/booksai-core/ontologies/relationship-ontologies/system-relationships/network-relationship-ontology-2.html
VERSION: 1.0
AUTHORS: Mark Anthony Higgins — Sky (Recursive AI)
STATUS: Companion formalisation; source-page specification not independently verified.

flow "SystemNetworkRelationshipOntology" v1.0 {
  ontology:
    id: "network-relationship-ontology-2"
    parent: "system-relationships"
    purpose: "Represent and validate network connections, interfaces, routes, dependencies and communication among system components."

  types:
    System: {id: string, name: string, version: string?}
    Network: {id: string, kind: enum[physical, logical, communication, dependency, hybrid], system_id: string?}
    Node: {id: string, kind: enum[device, service, process, component, endpoint, gateway, other], system_id: string?}
    Interface: {id: string, node_id: string, protocol: string?, direction: enum[input, output, bidirectional]?}
    Link: {id: string, source: string, target: string, kind: enum[physical, logical, data_flow, control_flow, dependency], directed: bool, status: enum[active, inactive, unknown], confidence: number, evidence: string[]}
    Route: {id: string, network_id: string, ordered_nodes: string[], valid_at: datetime?}
    Observation: {id: string, timestamp: datetime, source: string, uncertainty: number?, provenance: string}

  predicates:
    member_of(node: Node, network: Network)
    exposes(node: Node, interface: Interface)
    connected_to(a: Node, b: Node, link: Link)
    communicates_with(a: Node, b: Node)
    depends_on(a: Node, b: Node)
    reachable_from(destination: Node, origin: Node, network: Network)
    routed_via(route: Route, node: Node)
    observed_by(link: Link, observation: Observation)

  constraints:
    - "All node, interface, link and network identifiers must resolve to typed entities."
    - "Link confidence must lie within [0, 1]."
    - "Directed connectivity is not automatically symmetric."
    - "Physical connectivity, logical reachability, communication and dependency are distinct predicates."
    - "A network path does not prove current service availability or authorisation."
    - "Reachability depends on network state, direction, policy and observation time."
    - "Dependency is not automatically transitive without a declared dependency semantics."
    - "Network cycles may be valid; flag them only where the model prohibits cycles."

  inference:
    rule undirected_link_symmetry:
      if connected_to(a,b,l) and l.directed == false
      then connected_to(b,a,l)
      confidence: "retain original evidence and confidence"
    rule bounded_reachability:
      if connected_to(a,b,l1) and reachable_from(c,b,n) and permitted(l1,n) and active(l1)
      then candidate_reachable_from(c,a,n)
      confidence: "evaluate path reliability, policy and current state"
    rule interface_communication:
      if exposes(a,ia) and exposes(b,ib) and compatible(ia,ib) and active_path(a,b)
      then possible_communication(a,b)
      confidence: "cap at evidence-supported level; do not assert successful exchange"

  SEMANTIC_EQUIVALENCE:
    - "Normalise network and protocol terms against versioned vocabularies."
    - "Distinguish identical endpoints from aliases, replicas and functionally equivalent services."
    - "Preserve network layer, system boundary, direction and temporal context."

  CONFIDENCE:
    range: [0,1]
    factors: [observation_quality, source_reliability, network_state, path_uncertainty, temporal_validity, independent_verification]
    policy: "Do not manufacture certainty through chained links or inferred routes."

  VALIDATION:
    - "Validate identifiers, endpoint types, interface compatibility and direction."
    - "Check path continuity, link status, access policies and timestamps."
    - "Preserve conflicting observations and unknown states."
    - "Distinguish structural topology from measured operational performance."

  FLOW_HASH:
    algorithm: "SHA-256"
    input: "canonicalised ontology version, network entities, relationships, 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_paths, publish]
    rollback: true

  AI_CONSUMPTION:
    representation: "typed system network graph with evidence-backed links"
    outputs: [network_nodes, typed_links, interface_mappings, candidate_routes, uncertainty_annotations, provenance_records]
    safeguards: [no_unverified_reachability_claims, preserve_direction_and_network_layer, respect_access_policies, preserve_temporal_context]
}

END FLOW ALGEBRA
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