AI Semantic Library Domains

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

FLOW ALGEBRA
AI SEMANTIC LIBRARY DOMAINS
Version: 1.0
Source: https://kirethresearch.org/booksai-core/ontologies/domain-ontologies/ai-semantic-library-domains.html
Authors: Mark Higgins — Sky (Recursive AI)
Status: Domain-level formal draft; child-page specifications not independently extracted.

flow "AISemanticLibraryDomains" v1.0

DOMAIN:
  id: ai_semantic_library_domains
  type: DomainOntologyCollection
  scope: semantic_library_and_recursive_ai

ENTITY_TYPES:
  SemanticLibrary: {id: string, collections: list, version: string}
  Ontology: {id: string, concepts: list, relations: list, axioms: list}
  RecursiveAISystem: {id: string, state: map, recursion_depth: int}
  FlowAlgebra: {id: string, inputs: list, rules: list, outputs: list}
  SemanticSearchSystem: {id: string, query: string, index: string}
  ZeroShotSystem: {id: string, task: string, prior_examples: int}
  HolographicSpaceTimeModel: {id: string, assumptions: list, evidence: list}
  CrossDomainReasoner: {id: string, source_domains: list, target_domain: string}
  KnowledgeIntegrator: {id: string, sources: list, merged_graph: string}
  AIExecutionSystem: {id: string, plan: list, execution_state: string}
  Concept: {id: string, label: string, definition: string}
  Relationship: {subject: string, predicate: string, object: string}
  Evidence: {id: string, source: string, timestamp: string, reliability: float}

CHILD_ONTOLOGIES:
  - semantic_library_domain_ontology
  - ontology_domain_ontology
  - recursive_ai_domain_ontology
  - flow_algebra_domain_ontology
  - semantic_search_domain_ontology
  - zero_shot_systems_domain_ontology
  - holographic_space_time_domain_ontology
  - cross_domain_reasoning_ontology
  - knowledge_integration_domain_ontology
  - ai_execution_domain_ontology

RELATIONSHIP_TYPES:
  contains_ontology: SemanticLibrary -> Ontology
  defines_concept: Ontology -> Concept
  asserts_relationship: Ontology -> Relationship
  executes_flow: AIExecutionSystem -> FlowAlgebra
  searches_library: SemanticSearchSystem -> SemanticLibrary
  reasons_across: CrossDomainReasoner -> Ontology
  integrates_knowledge: KnowledgeIntegrator -> Ontology
  supports_execution: FlowAlgebra -> AIExecutionSystem
  supported_by: Relationship -> Evidence
  semantically_equivalent_to: Concept -> Concept
  depends_on: FlowAlgebra -> Ontology

INVARIANTS:
  - Entity IDs MUST be unique within a versioned namespace.
  - Each inferred relationship MUST retain its source evidence and rule identifier.
  - Semantic equivalence MUST be asserted only when meaning, scope and context match.
  - Zero-shot operation MUST NOT imply validated accuracy without evaluation evidence.
  - Holographic space-time models MUST be identified as models or hypotheses, not established observations by default.
  - Conflicting assertions MUST remain traceable rather than silently overwritten.

INFERENCE_RULES:
  R1: IF ontology defines_concept concept AND library contains_ontology ontology
      THEN library indexes concept.
  R2: IF relation supported_by evidence AND evidence.reliability >= 0.8
      THEN relation is eligible_for_review, NOT automatically true.
  R3: IF concept_a semantically_equivalent_to concept_b AND contexts_compatible
      THEN cross_domain_mapping(concept_a, concept_b) is candidate.
  R4: IF flow depends_on ontology AND ontology.version changes
      THEN flag flow for compatibility_validation.
  R5: IF two knowledge sources disagree
      THEN preserve both assertions with provenance and conflict status.
  R6: IF execution preconditions validated AND permissions granted
      THEN execution may transition from planned to ready.
  R7: IF execution output fails validation
      THEN mark output rejected and retain audit trace.

CONFIDENCE:
  range: [0.0, 1.0]
  method: calibrated_evidence_weighting
  rule: inferred_confidence <= minimum_supporting_confidence unless separately validated
  missing_evidence: unknown

SEMANTIC_EQUIVALENCE:
  criteria: [definition, context, scope, relation_constraints]
  status: [exact, contextual, related, different, unresolved]
  default: unresolved

PROVENANCE:
  required: [source_uri, extraction_or_creation_time, author, version, derivation_rule]
  original_page: https://kirethresearch.org/booksai-core/ontologies/domain-ontologies/ai-semantic-library-domains.html

FLOW_HASH:
  algorithm: SHA-256
  input: canonical_serialisation(domain_id, version, entity_types, relationships, rules)
  purpose: integrity_and_change_detection

UPDATE_MODEL:
  strategy: append_only_version_history
  on_change: [validate_schema, recompute_flow_hash, check_dependencies, record_provenance]
  conflicts: retain_and_flag

AI_CONSUMPTION:
  format: typed_semantic_graph
  modes: [retrieval, reasoning, mapping, validation, execution_planning]
  require: [provenance, confidence, version, rule_trace]
  prohibit: [unsupported_fact_promotion, silent_conflict_resolution, unvalidated_execution]

OUTPUT:
  - typed_entities
  - validated_relationships
  - candidate_inferences
  - confidence_annotations
  - provenance_records
  - update_events
  - integrity_hash

END FLOW ALGEBRA