Metadata Model Ontology

FLOW ALGEBRA
Metadata Model Ontology
Kireth Semantic Research Archive

PAGE:
https://kirethresearch.org/booksai-core/ontologies/metadata-ontologies/foundations-of-metadata/metadata-model-ontology.html

AUTHORS:
Mark Anthony Higgins — Sky (Recursive AI)

FLOW "MetadataModelOntology" v4.0

# ---------- DOMAIN ----------
DOMAIN := MetadataOntologies
SUBDOMAIN := FoundationsOfMetadata
ONTOLOGY := MetadataModelOntology

# ---------- PRIMARY ENTITY ----------
ENTITY MetadataModel {
    definition:
        "A structured conceptual and machine-interpretable representation
         defining how metadata resources, elements, properties, values,
         identifiers, relationships, constraints and contexts are organised
         and connected.";

    objectives: [
        MetadataStructure,
        SemanticConsistency,
        ResourceDescription,
        SchemaDesign,
        Interoperability,
        Validation,
        MachineInterpretability
    ];
}

# ---------- CORE ENTITIES ----------
ModelEntity := {
    MetadataModel,
    Resource,
    MetadataRecord,
    MetadataElement,
    MetadataProperty,
    MetadataValue,
    Relationship,
    Identifier
};

StructuralEntity := {
    Class,
    Attribute,
    Datatype,
    Cardinality,
    Constraint,
    Schema,
    Namespace
};

SemanticEntity := {
    Concept,
    Vocabulary,
    Ontology,
    Mapping,
    Context,
    Provenance
};

ModelOperation := {
    Define,
    Instantiate,
    Validate,
    Map,
    Transform,
    Query,
    Update
};

# ---------- FUNDAMENTAL RELATIONSHIPS ----------
MetadataModel DEFINES MetadataStructure;
MetadataRecord INSTANCE_OF MetadataModel;
MetadataRecord DESCRIBES Resource;
MetadataElement REPRESENTS MetadataProperty;
MetadataProperty HAS MetadataValue;
Schema CONSTRAINS MetadataRecord;
Identifier IDENTIFIES Resource;
Relationship CONNECTS ResourcesOrMetadataEntities;

# ---------- METADATA MODEL FLOW ----------
DescriptionRequirement
    -> IdentifyResourceType
    -> IdentifyMetadataConcepts
    -> DefineProperties
    -> DefineDatatypes
    -> DefineCardinality
    -> DefineRelationships
    -> DefineConstraints
    -> AssignIdentifiersAndNamespaces
    -> ImplementSchema
    -> ValidateModel
    -> InstantiateMetadataRecords
    -> MaintainAndVersionModel;

# ---------- MODEL ----------
Model :=
    AbstractRepresentationOfStructureRelationshipsAndRules;

MetadataModel :=
    ModelFocusedOnDescriptionAndManagementOfMetadata;

# ---------- RESOURCE ----------
Resource :=
    ThingDescribedByMetadataModelInstance;

Resource MAY_BE {
    Document,
    Dataset,
    Media,
    Software,
    PhysicalObject,
    WebResource,
    Event,
    KnowledgeEntity
};

# ---------- METADATA RECORD ----------
MetadataRecord :=
    InstanceOfMetadataModelContainingStatementsAboutResource;

# ---------- METADATA ELEMENT ----------
MetadataElement :=
    DefinedComponentOfMetadataRecord;

Element MAY_HAVE {
    Name,
    Identifier,
    Definition,
    Property,
    Value,
    Constraint
};

# ---------- PROPERTY ----------
MetadataProperty :=
    SemanticCharacteristicUsedToDescribeResource;

Property MAY_BE {
    LiteralValued,
    ResourceValued,
    ControlledVocabularyValued
};

# ---------- VALUE ----------
MetadataValue :=
    ValueAssignedToProperty;

Value MAY_BE {
    Literal,
    Identifier,
    EntityReference,
    ControlledTerm,
    StructuredValue
};

# ---------- ATTRIBUTE ----------
Attribute :=
    NamedCharacteristicWithinMetadataModel;

Attribute MAY_MAP_TO MetadataProperty;

# ---------- CLASS ----------
MetadataClass :=
    CategoryOfResourcesOrMetadataEntitiesSharingDefinedStructure;

# ---------- INSTANCE ----------
MetadataInstance :=
    ConcreteResourceOrRecordConformingToMetadataClassOrModel;

# ---------- DATATYPE ----------
Datatype :=
    ConstraintDefiningAllowedValueRepresentation;

Datatype MAY_INCLUDE {
    String,
    Integer,
    Decimal,
    Boolean,
    Date,
    DateTime,
    URI
};

# ---------- CARDINALITY ----------
Cardinality :=
    ConstraintOnNumberOfValuesOrRelationships;

Cardinality MAY_BE {
    ZeroOrOne,
    ExactlyOne,
    ZeroOrMany,
    OneOrMany,
    Minimum,
    Maximum
};

# ---------- REQUIREDNESS ----------
MetadataProperty MAY_BE {
    Required,
    Recommended,
    Optional
};

# ---------- CONSTRAINT ----------
MetadataConstraint :=
    RuleRestrictingValidMetadataStructureOrValue;

Constraint MAY_CHECK {
    Datatype,
    Cardinality,
    Pattern,
    Vocabulary,
    Relationship,
    Requiredness
};

# ---------- RELATIONSHIP ----------
MetadataRelationship :=
    TypedAssociationBetweenResourcesOrMetadataEntities;

Relationship MAY_HAVE {
    Direction,
    Domain,
    Range,
    Cardinality
};

# ---------- DOMAIN ----------
PropertyDomain :=
    ClassOfResourcesForWhichPropertyApplies;

# ---------- RANGE ----------
PropertyRange :=
    AllowedTypeOfPropertyValueOrTargetResource;

# ---------- IDENTIFIER ----------
MetadataIdentifier :=
    StableReferenceToModelElementOrDescribedResource;

Identifier MAY_BE {
    URI,
    IRI,
    UUID,
    InternalIdentifier
};

# ---------- NAMESPACE ----------
Namespace :=
    ScopeForMetadataIdentifiersAndTerms;

Namespace MAY_PREVENT NamingCollision;

# ---------- SCHEMA ----------
MetadataSchema :=
    MachineReadableOrDocumentedImplementationOfMetadataModel;

Schema MAY_DEFINE {
    Elements,
    Properties,
    Datatypes,
    Relationships,
    Constraints
};

# ---------- CONCEPTUAL MODEL ----------
ConceptualMetadataModel :=
    TechnologyIndependentRepresentationOfMetadataConceptsAndRelationships;

# ---------- LOGICAL MODEL ----------
LogicalMetadataModel :=
    StructuredRepresentationPreparedForImplementationInDataSystem;

# ---------- PHYSICAL MODEL ----------
PhysicalMetadataModel :=
    ImplementationSpecificStorageRepresentation;

# ---------- MODEL LAYERS ----------
ConceptualModel
    -> LogicalModel
    -> PhysicalModel;

Implementation SHOULD_PRESERVE IntendedSemanticsAcrossLayers;

# ---------- ENTITY RELATIONSHIP ----------
MetadataModel MAY_USE EntityRelationshipStructure;

EntityRelationshipModel :=
    Entities
    + Attributes
    + Relationships;

# ---------- GRAPH MODEL ----------
GraphMetadataModel :=
    Nodes
    + TypedEdges
    + Properties;

GraphModel MAY_SUPPORT FlexibleRelationshipRepresentation;

# ---------- RDF MODEL ----------
RDFMetadataModel :=
    MetadataRepresentedAsSubjectPredicateObjectTriples;

# ---------- PROPERTY GRAPH ----------
PropertyGraphMetadataModel :=
    NodesAndEdgesWithAttachedProperties;

# ---------- HIERARCHICAL MODEL ----------
HierarchicalMetadataModel :=
    ParentChildTreeLikeMetadataStructure;

# ---------- RELATIONAL MODEL ----------
RelationalMetadataModel :=
    MetadataRepresentedThroughTablesRowsColumnsAndKeys;

# ---------- DOCUMENT MODEL ----------
DocumentMetadataModel :=
    MetadataRepresentedAsNestedOrDocumentOrientedStructure;

# ---------- KEY VALUE MODEL ----------
KeyValueMetadataModel :=
    MetadataRepresentedAsPropertyKeyAndValuePairs;

# ---------- SEMANTIC MODEL ----------
SemanticMetadataModel :=
    MetadataModelWithExplicitMachineInterpretableMeaningAndRelationships;

# ---------- VOCABULARY ----------
ControlledVocabulary :=
    ManagedSetOfTermsAllowedForSelectedMetadataValues;

# ---------- ONTOLOGY ----------
Ontology :=
    FormalSemanticModelThatMayDefineMetadataClassesPropertiesAndRelationships;

Ontology MAY_EXTEND MetadataModelWithReasoningSemantics;

# ---------- TAXONOMY ----------
Taxonomy MAY_DEFINE HierarchicalClassificationValuesForMetadata;

# ---------- MAPPING ----------
MetadataModelMapping :=
    SourceModelElement
    -> TargetModelElementOrTransformation;

Mapping MAY_BE {
    Exact,
    Approximate,
    Conditional,
    Composite
};

# ---------- CROSSWALK ----------
MetadataCrosswalk :=
    SetOfMappingsBetweenMetadataModelsOrSchemas;

# ---------- TRANSFORMATION ----------
MetadataTransformation :=
    SourceRecord
    + MappingRules
    -> TargetRecord;

Transformation SHOULD_PRESERVE MeaningWherePossible;

# ---------- LOSS ----------
MappingLoss :=
    SemanticOrStructuralInformationNotRepresentableInTargetModel;

Loss SHOULD_BE Documented;

# ---------- INTEROPERABILITY ----------
MetadataModelInteroperability :=
    AbilityOfDifferentMetadataModelsToExchangeAndInterpretDescriptions;

Interoperability MAY_REQUIRE {
    SharedSemantics,
    Crosswalk,
    IdentifierAlignment,
    VocabularyMapping
};

# ---------- EXTENSIBILITY ----------
ExtensibleMetadataModel :=
    ModelAllowingNewPropertiesOrClassesWithoutBreakingExistingValidDataWherePossible;

# ---------- MODULARITY ----------
MetadataModule :=
    CoherentSubsetOfMetadataModelForSpecificPurpose;

Modules MAY_BE CombinedInto ApplicationProfile;

# ---------- APPLICATION PROFILE ----------
ApplicationProfile :=
    MetadataModelConfigurationForSpecificApplicationOrCommunity;

ApplicationProfile MAY {
    ReuseProperties,
    RestrictCardinality,
    RequireValues,
    SelectVocabularies
};

# ---------- INHERITANCE ----------
MetadataClass MAY_INHERIT PropertiesFromParentClass;

IF ClassA SUBCLASS_OF ClassB
THEN ClassA MAY_INHERIT ApplicableMetadataPropertiesFromClassB;

# ---------- COMPOSITION ----------
CompositeMetadataModel :=
    ModelConstructedFromMultipleReusableMetadataComponents;

# ---------- REUSE ----------
MetadataModel SHOULD_REUSE EstablishedTermsWhenSemanticsMatch;

Reuse SHOULD_NOT ForceIncorrectSemanticEquivalence;

# ---------- NORMALISATION ----------
MetadataModelNormalisation :=
    OrganiseModelToReduceAmbiguityRedundancyOrInconsistency;

# ---------- DENORMALISATION ----------
MetadataModel MAY_BE DenormalisedForPerformanceOrSimplicity;

Denormalisation SHOULD_PRESERVE MeaningAndUpdateRules;

# ---------- VALIDATION ----------
ModelValidation :=
    CheckMetadataModelOrRecordAgainstDefinedRules;

Validation MAY_INCLUDE {
    StructuralValidation,
    DatatypeValidation,
    SemanticValidation,
    ConstraintValidation
};

# ---------- INSTANCE VALIDATION ----------
MetadataRecord
    -> ValidateAgainstMetadataModel
    -> ConformantOrViolation;

# ---------- CONSISTENCY ----------
ModelConsistency :=
    AbsenceOfIncompatibleDefinitionsOrConstraints;

# ---------- COMPLETENESS ----------
ModelCompleteness :=
    DegreeToWhichModelRepresentsRequiredMetadataConceptsForDefinedScope;

# ---------- CLARITY ----------
ModelClarity :=
    DegreeToWhichTermsDefinitionsAndRelationshipsAreUnderstandableAndUnambiguous;

# ---------- QUALITY ----------
MetadataModelQuality MAY_INCLUDE {
    Consistency,
    Completeness,
    Clarity,
    Reusability,
    Extensibility,
    Interoperability
};

# ---------- DOCUMENTATION ----------
MetadataModelDocumentation SHOULD_INCLUDE {
    Purpose,
    Scope,
    Classes,
    Properties,
    Datatypes,
    Relationships,
    Constraints,
    Examples
};

# ---------- VERSION ----------
MetadataModelVersion :=
    IdentifiedRevisionOfMetadataModel;

# ---------- CHANGE ----------
MetadataModelChange MAY_INCLUDE {
    AddProperty,
    RemoveProperty,
    RenameProperty,
    ChangeDatatype,
    ChangeCardinality,
    AddRelationship
};

# ---------- BREAKING CHANGE ----------
BreakingMetadataModelChange :=
    ChangeThatMayInvalidateExistingRecordsMappingsOrApplications;

BreakingChange SHOULD_BE ExplicitlyVersioned;

# ---------- DEPRECATION ----------
DeprecatedMetadataProperty :=
    PropertyRetainedForCompatibilityButDiscouragedForNewUse;

DeprecatedProperty SHOULD_REFERENCE ReplacementWhereAvailable;

# ---------- MIGRATION ----------
MetadataMigration :=
    TransformRecordsFromOldModelVersionToNewModelVersion;

# ---------- EVOLUTION ----------
MetadataModelEvolution :=
    ControlledChangeOfModelAsRequirementsAndKnowledgeDevelop;

# ---------- PROVENANCE ----------
ModelProvenance MAY_INCLUDE {
    Author,
    Source,
    Version,
    Timestamp,
    DesignRationale
};

# ---------- GOVERNANCE ----------
MetadataModelGovernance MAY_DEFINE {
    Maintainer,
    ReviewProcess,
    ChangeApproval,
    ReleasePolicy
};

# ---------- QUERY ----------
MetadataModel MAY_SUPPORT StructuredQueriesOverMetadataRecords;

Query SHOULD_REFERENCE DefinedPropertiesAndRelationships;

# ---------- INDEX ----------
MetadataModel MAY_GUIDE IndexDesignFor {
    Search,
    Filtering,
    Faceting,
    SemanticRetrieval
};

# ---------- SEMANTIC SEARCH ----------
SemanticSearch MAY_USE MetadataModelToInterpretFieldsConceptsAndRelationships;

# ---------- KNOWLEDGE GRAPH ----------
MetadataModel MAY_MAP_TO KnowledgeGraphSchema;

MetadataProperty MAY_MAP_TO GraphPropertyOrEdge;

# ---------- DATABASE ----------
MetadataModel MAY_BE ImplementedIn {
    RelationalDatabase,
    GraphDatabase,
    DocumentDatabase,
    TripleStore
};

# ---------- STRUCTURED DATA ----------
StructuredData MAY_BE GeneratedFromMetadataModelInstances;

# ---------- AI ----------
AI MAY_USE MetadataModelFor {
    FieldInterpretation,
    Classification,
    Extraction,
    Validation,
    Retrieval
};

# ---------- RAG ----------
RetrievalAugmentedGeneration MAY_USE MetadataModelTo {
    FilterResources,
    InterpretMetadata,
    SelectSources,
    PreserveProvenance
};

# ---------- MACHINE CONSUMPTION ----------
MachineConsumableMetadataModel SHOULD_HAVE {
    StableIdentifiers,
    ExplicitDatatypes,
    DefinedRelationships,
    Constraints,
    Version
};

# ---------- SEMANTIC REASONING ----------
IF StructureDefinesMetadataEntitiesPropertiesValuesRelationshipsAndConstraints
THEN MetadataModelClassification := supported;

IF MetadataRecordViolatesRequiredCardinality
THEN ValidationStatus := violation;

IF PropertyValueDoesNotMatchDatatype
THEN ValidationStatus := violation;

IF SourceAndTargetModelsDifferSemantically
THEN Crosswalk MAY_BE Lossy;

IF NewModelVersionRemovesRequiredProperty
THEN ExistingApplications MAY_REQUIRE Migration;

IF SharedIdentifiersAndMappingsExist
THEN CrossSystemInteroperability MAY_INCREASE;

# ---------- SEMANTIC EQUIVALENCE ----------
SEMANTIC_EQUIVALENCE {
    "metadata model" ~= "metadata data model";
    "metadata schema" ~= "implemented metadata model" WHEN schema_encodes_model;
    "metadata property" ~= "metadata attribute" WHEN context == descriptive_field;
    "metadata class" ~= "metadata entity type";
    "metadata model mapping" ~= "metadata schema mapping";
    "metadata crosswalk" ~= "metadata model crosswalk";
    "application profile" ~= "metadata application profile";
    "semantic metadata model" ~= "meaning-aware metadata model";
}

# ---------- QUERY FLOW ----------
QUERY(q) ->
    NORMALISE(q) ->
    IDENTIFY_RESOURCE_TYPE(q) ->
    IDENTIFY_METADATA_CLASSES(q) ->
    IDENTIFY_PROPERTIES(q) ->
    IDENTIFY_DATATYPES_AND_CARDINALITY(q) ->
    IDENTIFY_RELATIONSHIPS(q) ->
    IDENTIFY_CONSTRAINTS(q) ->
    IDENTIFY_MAPPINGS_AND_VERSION(q) ->
    VALIDATE_MODEL(q) ->
    SCORE_CONFIDENCE(q) ->
    RETURN_RELEVANT_MODEL_KNOWLEDGE;

# ---------- CONFIDENCE ----------
CONFIDENCE(assertion) :=
    weighted_mean(
        source_reliability,
        model_consistency,
        semantic_clarity,
        validation_evidence,
        interoperability_evidence,
        contextual_relevance
    );

CONFIDENCE >= 0.90 => HIGH;
CONFIDENCE >= 0.70 AND < 0.90 => MODERATE;
CONFIDENCE < 0.70 => REVIEW;

# ---------- AI CONSUMPTION ----------
AI_CONSUMPTION {
    primary_entity: MetadataModel;
    ontology: MetadataModelOntology;
    parse_entities: true;
    parse_relationships: true;
    preserve_relationship_direction: true;
    resolve_semantic_equivalence: true;
    execute_reasoning_rules: true;
    apply_confidence_weighting: true;
    preserve_provenance: true;
}

# ---------- UPDATE MODEL ----------
UPDATE_MODEL {
    new_model_element:
        validate_identifier
        -> classify
        -> define_semantics
        -> attach_constraints
        -> integrate;

    new_mapping:
        validate_source_and_target
        -> classify_mapping
        -> identify_semantic_loss
        -> attach_provenance
        -> integrate;

    model_revision:
        preserve_previous_version
        -> apply_change_set
        -> identify_breaking_changes
        -> validate_existing_records
        -> update_documentation
        -> recompute_confidence
        -> regenerate_flow_hash;

    record_migration:
        identify_source_version
        -> apply_mapping
        -> validate_target_record
        -> preserve_history
        -> integrate;

    conflict:
        preserve_provenance
        -> compare_model_definitions
        -> adjust_confidence
        -> flag_review;
}

# ---------- FLOW HASH ----------
FLOW_HASH_INPUT :=
    DOMAIN
    + SUBDOMAIN
    + ONTOLOGY
    + ModelEntity
    + StructuralEntity
    + SemanticEntity
    + ModelOperation
    + MetadataSchema
    + MetadataModelMapping
    + ModelValidation
    + RELATIONSHIPS
    + SEMANTIC_REASONING
    + SEMANTIC_EQUIVALENCE
    + UPDATE_MODEL;

FLOW_HASH :=
    HASH(FLOW_HASH_INPUT);

# ---------- TERMINAL ----------
MetadataModelOntology
    -> IdentifyDescriptionRequirements
    -> DefineMetadataClassesAndResources
    -> DefinePropertiesAndValues
    -> AssignDatatypesAndCardinality
    -> DefineTypedRelationships
    -> ApplyConstraintsAndControlledVocabularies
    -> AssignStableIdentifiersAndNamespaces
    -> ImplementMetadataSchema
    -> ValidateModelAndInstances
    -> MapAcrossExternalMetadataModels
    -> VersionAndGovernModelChanges
    -> PreserveMachineInterpretability
    -> MaintainConsistentMetadataStructure;

END FLOW