Section Ontology

FLOW ALGEBRA
Section Ontology
Kireth Semantic Research Archive

PAGE:
https://kirethresearch.org/booksai-core/ontologies/metadata-ontologies/structural-metadata/section-ontology.html

AUTHORS:
Mark Anthony Higgins — Sky (Recursive AI)

FLOW "SectionOntology" v4.0

DOMAIN := MetadataOntologies
SUBDOMAIN := StructuralMetadata
ONTOLOGY := SectionOntology

ENTITY Section {
    definition:
        "A logical structural division of a document, chapter or other
         information resource, identified by its boundary, heading, position,
         parent component, subordinate content and relationships to adjacent
         or related sections.";
    objectives: [
        LogicalSegmentation,
        HierarchicalOrganisation,
        Navigation,
        ReadingOrder,
        FragmentAddressing,
        RetrievalContext,
        MachineInterpretability
    ];
}

SectionEntity := {
    Section,
    Document,
    Chapter,
    SectionTitle,
    SectionIdentifier,
    SectionNumber,
    SectionContent,
    Subsection
};

StructuralEntity := {
    ParentComponent,
    PreviousSection,
    NextSection,
    ChildSection,
    Sequence,
    Position,
    StructureMap,
    Fragment
};

MetadataEntity := {
    MetadataRecord,
    ResourceIdentifier,
    Language,
    Provenance,
    Version,
    Confidence
};

Section IS_PART_OF ParentComponent;
ParentComponent HAS_PART Section;
Section MAY_CONTAIN Subsection;
Section MAY_PRECEDE Section;
Section MAY_FOLLOW Section;
Section HAS SectionIdentifier;
Section MAY_HAVE SectionTitle;
Section HAS Position;

SectionFlow :=
    ParentDocumentOrChapter
    -> IdentifySectionBoundary
    -> AssignSectionIdentifier
    -> DetermineSectionLevelAndPosition
    -> CaptureSectionTitle
    -> IdentifySubsectionsAndContent
    -> LinkPreviousAndNextSections
    -> AttachParentComponent
    -> ValidateSectionStructure
    -> StoreStructuralMetadata
    -> IndexForNavigationAndRetrieval
    -> MaintainAcrossVersions;

Section :=
    LogicalDivisionWithinDocumentChapterOrOtherStructuredResource;

ParentComponent MAY_BE {
    Document,
    Chapter,
    Section
};

Section MAY_BE {
    TopLevelSection,
    NestedSection,
    NumberedSection,
    UnnumberedSection
};

SectionIdentifier :=
    StableOrLocallyUniqueReferenceToSection;

SectionIdentifier MAY_BE {
    URI,
    IRI,
    UUID,
    FragmentIdentifier,
    InternalID
};

StableSectionIdentifier SHOULD_BE PreferredOverSectionNumberForMachineLinking;

SectionNumber :=
    HumanReadableOrStructuralOrdinalAssignedToSection;

SectionNumber MAY_BE {
    Integer,
    Decimal,
    HierarchicalNumber,
    AlphanumericLabel
};

SectionNumber != SectionIdentifierByDefinition;

SectionLevel :=
    HierarchicalDepthOrHeadingLevelOfSectionWithinParentStructure;

SectionPosition :=
    OrderedLocationOfSectionAmongSiblingSections;

SectionTitle :=
    HumanReadableHeadingOrNameOfSection;

SectionTitle MAY_HAVE {
    PreferredTitle,
    AlternativeTitle,
    Language
};

UntitledSection MAY_EXISTAccordingToDocumentModel;

SectionContent :=
    ContentContainedWithinSectionBoundary;

SectionContent MAY_INCLUDE {
    Paragraph,
    Subsection,
    Figure,
    Table,
    List,
    Citation,
    Footnote,
    Fragment
};

Subsection :=
    SectionWhoseParentIsAnotherSection;

ChildSection :=
    ImmediateSubsectionOfParentSection;

ParentSection :=
    ImmediateContainingSectionOfChildSection;

SectionHierarchy :=
    Document
    -> OptionalChapter
    -> Section
    -> Subsection
    -> NestedSubsection
    -> Fragment;

SectionPath :=
    RootDocument
    -> OptionalChapter
    -> ParentSections
    -> TargetSection;

IF ParentComponent HAS_PART Section
THEN Section IS_PART_OF ParentComponent;

IF SectionA CONTAINS SectionB
THEN SectionB IS_SUBSECTION_OF SectionA;

Containment MAY_BE Transitive;

IF A CONTAINS B
AND B CONTAINS C
AND containment_is_transitive
THEN A CONTAINS C;

SectionSequence :=
    OrderedCollectionOfSiblingSections;

ReadingOrder :=
    IntendedSequenceForConsumingSections;

PreviousSection :=
    ImmediateSiblingSectionBeforeCurrentSection;

NextSection :=
    ImmediateSiblingSectionAfterCurrentSection;

IF SectionA PRECEDES SectionB
THEN SectionB FOLLOWS SectionA;

IF NoSiblingSectionExistsBetweenAAndB
AND A PRECEDES B
THEN A MAY_BE PreviousSectionOf B;

SectionBoundary :=
    StartAndEndExtentOfSectionWithinResourceRepresentation;

Boundary MAY_BE IdentifiedBy {
    Markup,
    Heading,
    TextOffsets,
    PageRange,
    StructuralParser
};

Section MAY_SPAN MultiplePages;

PageRange MAY_DESCRIBE PhysicalExtentOfSection;

LogicalSection MAY_DIFFER_FROM PhysicalPageBoundary;

SectionToPageMapping :=
    Section
    -> OneOrMorePages;

SectionFragment :=
    AddressableSubpartOfSection;

Fragment MAY_BE {
    Paragraph,
    TextSpan,
    Figure,
    Table,
    ListItem
};

SectionStructureMap :=
    ExplicitRepresentationOfSectionAndContainedComponents;

StructureMap MAY_INCLUDE {
    SectionIdentifier,
    Title,
    Level,
    Position,
    ChildSections,
    References
};

TableOfContents MAY_REFERENCE SectionIdentifierAndTitle;

SectionHeading :=
    HeadingRepresentingSectionBoundaryOrTitle;

HeadingLevel SHOULD_CORRESPOND_TO StructuralLevelAccordingToProfile;

SkippedHeadingLevel MAY_REQUIRE ReviewInStrictDocumentProfiles;

CrossReference MAY_TARGET SectionOrSectionFragment;

SectionStructuralValidation MAY_CHECK {
    ParentComponent,
    Identifier,
    HierarchicalLevel,
    DuplicatePosition,
    Boundary,
    ReadingOrder,
    BrokenReference
};

IF SectionHasNoResolvableParent
AND SectionIsNotDefinedAsTopLevel
THEN Section MAY_BE OrphanSection;

OrphanSection :=
    SectionExpectedWithinStructureButWithoutResolvableParentRelationship;

IF DuplicateSectionIdentifierWithinUniqueScope
THEN IdentifierValidation := violation;

IF TwoSiblingSectionsOccupySameExclusivePosition
THEN ReadingOrderConflict MAY_EXIST;

IF SectionContainsItselfDirectlyOrTransitively
THEN HierarchicalCycle := true;

IF HierarchicalCycle
THEN ValidationStatus := violation;

SectionCompleteness :=
    DegreeToWhichRequiredSectionStructuralMetadataIsPresent;

SectionConsistency :=
    DegreeToWhichSectionLevelPositionHierarchyAndReferencesAgree;

SectionIntegrity :=
    PreservationOfValidIdentifierBoundaryRelationshipsAndOrder;

SectionQuality MAY_INCLUDE {
    Completeness,
    Consistency,
    Integrity,
    Navigability,
    IdentifierStability
};

SectionProvenance MAY_INCLUDE {
    Source,
    Creator,
    ExtractionMethod,
    Timestamp,
    Version
};

Section MAY_BE {
    ManuallyAuthored,
    ExtractedFromMarkup,
    AutomaticallyDetected,
    AIAssisted
};

AutomaticSectionDetection :=
    Resource
    -> DetectHeadingsAndBoundaries
    -> InferHierarchy
    -> InferSequence
    -> GenerateSectionMetadata;

AI MAY_SUPPORT {
    SectionBoundaryDetection,
    HeadingExtraction,
    HierarchyInference,
    ReadingOrderInference
};

InferredSection SHOULD_HAVE ConfidenceWhereDetectionIsUncertain;

SectionConfidence :=
    EstimatedSupportForInferredSectionStructureOrMetadata;

SectionVersion :=
    SectionStateAssociatedWithSpecificParentResourceVersion;

ResourceRevision MAY {
    AddSection,
    RemoveSection,
    ReorderSection,
    RenameSection,
    ReparentSection,
    SplitSection,
    MergeSections
};

ReorderSection :=
    MoveSectionToDifferentSiblingPosition;

RenameSection :=
    ChangeSectionTitleWithoutNecessarilyChangingSectionIdentity;

ReparentSection :=
    MoveSectionToDifferentParentComponent;

SplitSection :=
    ExistingSection
    -> MultipleNewSections;

MergeSections :=
    MultipleExistingSections
    -> SingleSection;

StableSectionIdentifier MAY_BE PreservedAcrossRenameOrReorder;

Reparent MAY_PreserveIdentifierIfSemanticIdentityContinuesAccordingToPolicy;

SplitOrMerge MAY_REQUIRE IdentifierMappingAndMigration;

SectionVersionMapping :=
    OldSectionIdentifier
    -> NewSectionIdentifierOrIdentifiers;

SectionAnnotation MAY_TARGET SectionOrFragment;

StableSectionIdentifier MAY_IMPROVE AnnotationPersistence;

Citation MAY_REFERENCE SpecificSectionWithinLargerDocument;

Section MAY_HAVE DescriptiveMetadataSuchAs {
    Title,
    Subject,
    Summary,
    Keywords,
    Language
};

StructuralMetadata DEFINES SectionPositionHierarchyAndContainment;

DescriptiveMetadata DESCRIBES SectionContentAndIdentity;

TechnicalMetadata MAY_DESCRIBE FilesOrMarkupContainingSection;

PreservationMetadata MAY_USE SectionStructureForLongTermInterpretation;

SectionIndex :=
    SearchStructureMappingSectionMetadataAndContentToParentResource;

SectionIndex MAY_INCLUDE {
    SectionTitle,
    SectionIdentifier,
    ParentIdentifier,
    Position,
    FullText
};

SectionSearch :=
    Query
    -> MatchSectionMetadataOrContent
    -> ReturnSectionWithParentContext;

SemanticSearch MAY_USE SectionFor {
    ScopedRetrieval,
    ParentContext,
    NeighbourRetrieval,
    Ranking
};

IF SearchMatchOccursWithinSection
THEN Result SHOULD_PRESERVE ParentDocumentChapterAndSectionContextWhereUseful;

RAG MAY_USE SectionAs {
    RetrievalUnit,
    ChunkBoundary,
    ContextContainer
};

StructureAwareChunking MAY_SPLIT SectionIntoParagraphsOrFragments
WHILE Preserving SectionIdentifierAndPath;

NeighbourRetrieval MAY_USE PreviousSectionAndNextSectionRelationships;

KnowledgeGraph MAY_REPRESENT SectionAsNode;

GraphRelationships MAY_INCLUDE {
    IS_PART_OF,
    HAS_PART,
    PRECEDES,
    FOLLOWS,
    REFERENCES
};

MetadataRepository MAY_STORE SectionStructuralMetadata;

MetadataRegistry MAY_REGISTER SectionPropertiesAndRelationshipTypes;

SectionInteroperability MAY_REQUIRE {
    StableIdentifiers,
    SharedStructuralSemantics,
    ParentReference,
    VersionInformation
};

RDF MAY_REPRESENT:
    Section
    -> isPartOf
    -> ParentComponent;

JSONLD MAY_SERIALISE SectionAndStructuralRelationships;

HTML MAY_REPRESENT SectionsUsing SectioningElementsAndHeadings;

XML MAY_REPRESENT SectionAsExplicitNestedElement;

Accessibility MAY_USE SectionHeadingsAndHierarchyForNavigation;

CorrectHeadingLevels MAY_IMPROVE ScreenReaderAndKeyboardNavigation;

SectionAccessControl MAY_DIFFER_FROM ParentResourceAccessInSomeSystems;

RestrictedSection MUST_NOT_BE ExposedToUnauthorisedConsumer;

SectionSecurity MAY_INCLUDE {
    IdentifierValidation,
    AccessControl,
    ReferenceIntegrity,
    ProvenanceIntegrity,
    ChangeAuthorisation
};

MachineReadableSection SHOULD_PRESERVE {
    SectionIdentifier,
    ParentIdentifier,
    Title,
    Level,
    Position,
    ChildSections,
    ReadingOrder,
    Version,
    Provenance
};

# ---------- SEMANTIC REASONING ----------
IF ResourceComponentIsLogicalDivisionWithinDocumentChapterOrSection
THEN SectionClassification := supported;

IF ParentComponent HAS_PART Section
THEN Section IS_PART_OF ParentComponent;

IF SectionA PRECEDES SectionB
THEN SectionB FOLLOWS SectionA;

IF SectionA CONTAINS SectionB
THEN SectionB IS_SUBSECTION_OF SectionA;

IF SectionIdentifierStableAcrossRename
THEN ExistingLinks MAY_REMAIN Valid;

IF SectionPositionChanges
THEN PreviousNextRelationships SHOULD_BE Recomputed;

IF SectionReparented
THEN StructuralPath SHOULD_BE Recomputed;

IF SectionSplitOccurs
THEN OldIdentifier SHOULD_BE MappedToSuccessorSectionsWherePossible;

# ---------- SEMANTIC EQUIVALENCE ----------
SEMANTIC_EQUIVALENCE {
    "section" ~= "document section" WHEN structural_context;
    "section identifier" ~= "section ID";
    "section number" ~= "section ordinal" WHEN sequence_context;
    "section title" ~= "section heading" WHEN heading_is_title;
    "subsection" ~= "child section";
    "section sequence" ~= "section reading order" WHEN sibling_linear_context;
    "section path" ~= "document hierarchy path to section";
    "parent component" ~= "containing document component";
}

# ---------- QUERY FLOW ----------
QUERY(q) ->
    NORMALISE(q) ->
    IDENTIFY_PARENT_RESOURCE(q) ->
    IDENTIFY_SECTION(q) ->
    RESOLVE_SECTION_IDENTIFIER(q) ->
    IDENTIFY_TITLE_LEVEL_NUMBER_AND_POSITION(q) ->
    IDENTIFY_CHILD_SECTIONS_AND_FRAGMENTS(q) ->
    IDENTIFY_PREVIOUS_NEXT_RELATIONSHIPS(q) ->
    IDENTIFY_VERSION_AND_PROVENANCE(q) ->
    VALIDATE_SECTION_STRUCTURE(q) ->
    SCORE_CONFIDENCE(q) ->
    RETURN_RELEVANT_SECTION_KNOWLEDGE;

# ---------- CONFIDENCE ----------
CONFIDENCE(assertion) :=
    weighted_mean(
        source_reliability,
        section_structure_consistency,
        identifier_strength,
        boundary_evidence,
        provenance_quality,
        contextual_relevance
    );

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

# ---------- AI CONSUMPTION ----------
AI_CONSUMPTION {
    primary_entity: Section;
    ontology: SectionOntology;
    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_section:
        identify_parent_resource
        -> detect_or_receive_boundary
        -> assign_section_identifier
        -> determine_level_and_position
        -> capture_title
        -> identify_child_sections
        -> attach_provenance
        -> validate
        -> integrate;

    section_revision:
        preserve_previous_version
        -> apply_title_boundary_level_or_content_changes
        -> preserve_identifier_where_identity_continues
        -> recompute_sequence_relationships
        -> revalidate
        -> update_index
        -> recompute_confidence
        -> regenerate_flow_hash;

    resource_revision:
        identify_affected_sections
        -> update_positions_parent_links_and_paths
        -> map_changed_identifiers
        -> validate_structure
        -> integrate;

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

# ---------- FLOW HASH ----------
FLOW_HASH_INPUT :=
    DOMAIN
    + SUBDOMAIN
    + ONTOLOGY
    + SectionEntity
    + StructuralEntity
    + MetadataEntity
    + Section
    + SectionHierarchy
    + SectionStructureMap
    + RELATIONSHIPS
    + SEMANTIC_REASONING
    + SEMANTIC_EQUIVALENCE
    + UPDATE_MODEL;

FLOW_HASH :=
    HASH(FLOW_HASH_INPUT);

# ---------- TERMINAL ----------
SectionOntology
    -> IdentifyParentDocumentChapterOrSection
    -> DetectSectionBoundaryAndIdentity
    -> AssignStableSectionIdentifier
    -> CaptureSectionLevelNumberTitleAndPosition
    -> ModelChildSectionsAndFragments
    -> EstablishPreviousAndNextRelationships
    -> MapSectionToPagesFilesAndParentPath
    -> ValidateHierarchyBoundaryAndReadingOrder
    -> StoreAndVersionSectionMetadata
    -> IndexForNavigationSearchAndRetrieval
    -> PreserveStructuralContextForRAGAndSemanticSearch
    -> MaintainCrossVersionSectionMappings
    -> MaintainReliableSectionStructureKnowledge;

END FLOW