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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>X (J. Ovčiņņikova);</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Ontologies: Visual Qualifiers in O WLGrEd</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Jūlija Ovčiņņikova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kārlis Čerāns</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Workshop</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Mathematics and Computer Science, University of Latvia</institution>
          ,
          <addr-line>Riga</addr-line>
          ,
          <country country="LV">Latvia</country>
        </aff>
      </contrib-group>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>We present an extension to the OWLGrEd visual ontology editor that enables visual annotation of OWL data and object properties, and instance property assertions with contextual qualifiers such as temporal scope, provenance, and confidence. Inspired by RDF 1.2 reified triples, our approach uses OWL 2 annotation mechanisms to enrich both property declarations and assertions without altering ontology semantics. This results in an intuitive visual representation of contextual data in OWL ontologies.</p>
      </abstract>
      <kwd-group>
        <kwd>OWL 2</kwd>
        <kwd>visual ontology modelling</kwd>
        <kwd>semantic qualifiers</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>O</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>
        A wide range of ontology visualization tools provide graphical representations of OWL 2 [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] ontologies
to facilitate understanding. For example, WebVOWL [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and OntoDia [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] ofer an interactive
graphbased view for ontology exploration, and OWLGrEd [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ] supports a UML-style diagram notation for
OWL ontologies. Tools like Chowlk [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], GRAPHOL [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ], and G-OWL [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] provide fully diagrammatic
ontology modelling environments, where properties are treated as first-class graphical elements.
However, despite the richness of these visualization tools, none ofers a way to attach context-rich qualifiers
– such as temporal scopes, provenance information, or confidence scores – directly to properties and
their assertions within the diagrams.
      </p>
      <p>In this work, we present an extension to the OWLGrEd ontology editor that fills this gap by enabling
visual qualifiers on relationships. Our approach enables ontology developers to attach contextual
data (e.g., time intervals, source identifiers, trust/confidence values) to both property declarations
(schema-level relationships) and individual property assertions (instance-level facts) within an OWL
ontology. This is achieved using the OWL 2 annotation mechanisms, which enable the linking of
additional information to ontology entities and axioms. By leveraging standard annotation properties
in OWL 2, we ensure that qualifiers are encoded in a semantically compatible way – they do not alter
the formal semantics of the ontology, but enrich it with supporting information. The result allows users
to explore not just the structure of an ontology but also the context of its relationships within a single
integrated diagram.</p>
    </sec>
    <sec id="sec-3">
      <title>2. Background: OWLGrEd Notation</title>
      <p>
        OWLGrEd [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ] provides a UML-style graphical notation for OWL 2. OWL classes appear as UML
classes, object properties as associations, data properties as attributes, and individuals as instances.
Logical axioms such as subclass, equivalence, disjointness, and restrictions are displayed textually (in
Manchester syntax [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]) or with visual connectors. OWLGrEd also includes features as visual fields for
expressing property characteristics such as functional or transitive properties, the use of anonymous
classes to represent complex class expressions, and diagrammatic elements to represent binary and n-ary
      </p>
      <p>CEUR</p>
      <p>
        ceur-ws.org
axioms such as disjointness or equivalence. OWLGrEd has been built in GRTP visual tool development
platform [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], based on a dedicated graph diagramming engine [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>3. Visual Notation Extensions</title>
      <p>To introduce property qualifiers into the OWLGrEd visual notation, we provide the option to visually
specify object and data properties using dedicated graphical boxes, and enable describing qualifiers
within compartments of these property boxes.</p>
      <p>At the instance level, we provide a visual notation for recording any annotations on data and object
property assertions, with the intention to use them with the annotation properties introduced as data
and object property qualifiers on the schema level.</p>
      <p>We use color-coding to distinguish property types: object properties and object property assertions
are depicted in blue hexagonal boxes, while data properties and data property assertions use green
hexagonal boxes (see Figure 2). Each box can graphically connect to relevant ontology elements: classes
in the case of property declarations, or individuals in the case of assertions. The graphical connections
follow the logical structure of RDF triples: the subject (either a class or an individual) links to the
property box with an outgoing arrow, and the object (class or individual) connects via an incoming arrow.
This left-to-right flow visually mirrors RDF’s subject–predicate–object structure and supports intuitive
reading of both ontology declarations and instance-level assertions. Alternatively, information about
domain and range (in the case of declarations) or subject and object/value (in the case of assertions)
can be displayed textually within the box itself using labelled fields such as “ Domain”, “Range” (see the
third row of Figure 2), and “Value” (fourth row of Figure 2). This dual representation supports both
compact and detailed modelling preferences.</p>
      <p>Additionally, generalization relationships can be used with object and data properties to visually
encode sub-property axioms, clearly representing hierarchical relationships among properties within
the ontology (as shown in the first row of Figure 2).</p>
      <p>Each of the property and assertion visual elements can be enriched with qualifiers – fields that
provide contextual information about the axiom, such as temporal validity, certainty, or provenance.
Qualifiers like datePaid, mark, and tutor are displayed as labelled fields within the hexagonal box.</p>
    </sec>
    <sec id="sec-5">
      <title>4. Qualifier annotations</title>
      <p>OWL 2 does not have a native notation specifically dedicated for expressing property qualifiers. However,
it provides mechanisms, such as annotation properties, that can efectively represent this information.
In this work, we use the OWL 2 annotation mechanism to introduce property qualifiers such as
temporal scopes, provenance information, and confidence levels. These annotations enrich both
property declarations (schema-level relationships) and property assertions (instance-level facts) without
modifying the formal semantics of the ontology.</p>
      <p>The property qualifiers (e.g., dateTo, tutor ) are encoded in the ontology as annotation properties.
These qualifiers are attached to the corresponding data or object properties using a dedicated annotation
property ex:qualifier 1. The expected type of qualifier values is specified using a nested annotation with
annotation property rdfs:range, which may refer to a datatype or a class IRI, depending on whether the
qualifier values are literals or resources (see the example of the property :salary below). Additional
information, such as cardinality constraints (e.g., owl:maxCardinality annotation property) indicating
how many times a qualifier may or must appear, can also be included. For example, the following axiom
indicates that the data property :salary is qualified by :dateTo, which is expected to be a datetime and
not occur more than once per salary assertion:
AnnotationAssertion(</p>
      <p>Annotation(rdfs:range xsd:dateTime)
Annotation(owl:maxCardinality "1"^^xsd:nonNegativeInteger)
ex:qualifier :salary :dateTo)</p>
      <p>Once defined and annotated in this way, the same annotation properties are consistently applied to
annotate the corresponding property assertions on the instance level, ensuring uniform usage across
the ontology. For example, a data property assertion like :Dave :salary “3000” can be annotated with
qualifier dateFrom and value “2023-01-06 ”.</p>
      <p>We have chosen to use the local semantics for the qualifier visualizations as the qualifier range (and
cardinality) assertions are added directly into the axioms asserting a particular qualifier for a property
(e.g., AnnotationAssertion(ex:qualifier :salary :dateTo) in Figure 2). Another option would have been to
introduce the qualifier property characteristics globally, as follows:
AnnotationAssertion(ex:qualifier :salary :dateTo)
AnnotationPropertyRange(:dateTo xsd:dateTime)
AnnotationAssertion(owl:maxCardinality :dateTo 1)</p>
      <p>The local option has been chosen since it can be expected that the same qualifiers could be applied in
diferent places in the ontology, together with a diferent characteristics.</p>
      <p>Although these qualifier annotations do not afect the ontology’s formal semantics from an OWL
reasoning perspective, they enrich axioms with contextual information. This enhances visualization
and better readability for users while maintaining full compatibility with OWL 2 standards.</p>
      <p>
        This approach is conceptually inspired by the RDF 1.2 notion of reified triples [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], which will ofer a
mechanism for attaching data directly to RDF statements. We observe that the annotation construct in
OWL 2 is fully suficient to record the qualifier information built into the RDF 1.2 architecture. We
note that our approach allows to visualize the situations when the qualifier values are (expected to be)
literals and when they are resources (denoted by IRIs).
      </p>
      <p>We have implemented a prototype extension of the OWLGrEd editor to support visual annotation of
OWL axioms.2 The prototype includes a sample mini-University project using the extra annotation
notation described in this paper.</p>
    </sec>
    <sec id="sec-6">
      <title>5. Conclusions</title>
      <p>We have extended the UML-style OWL diagramming tool OWLGrEd with the ability to represent
qualifiers on both schema and instance relationships, using a clear syntax that extends the graphical
notation without overcomplicating it. This extension introduces new diagram elements and syntax
for qualifiers while remaining fully compliant with OWL 2 standards (qualifiers are stored as OWL
annotations, and thus preserve semantic compatibility).</p>
      <p>We expect that our contributions would enhance the usability of the tool - ontology engineers and
domain experts can now capture and view contextual data directly in the ontology diagram, without
needing external documentation. The integrated qualifiers not only improve the expressiveness and
understandability of ontology visualizations, but also open the door for some forms of enhanced
reasoning and analysis: since the context qualifiers are formally represented, they can be used by
reasoning tools or queries (e.g., temporal reasoner) to provide richer answers and explanations.</p>
      <p>As future work, we plan to implement the described graphical notation in a web-based environment
that supports the full lifecycle of visual ontology development. We also intend to conduct a detailed
evaluation of the notation within the context of the upcoming ontology development tool.</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgments</title>
      <p>This work was supported by activity 1.1.1.9 Research application No 1.1.1.9/LZP/1/24/037 of the Activity
2https://owlgred.lumii.lv/downloads/OWLGrEd_extended.zip
“Post-doctoral Research” “Visual methods and tools for ontology management”, and the Latvian Council
of Science, project “What’s in Your Knowledge Graph? ” (Project No. lzp-2024/1-0665).</p>
    </sec>
    <sec id="sec-8">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the authors used ChatGPT (GPT-4) in order to: Improve writing
style; Grammar and spelling check. After using this tool, the authors reviewed and edited the content
as needed and take full responsibility for the publication’s content.</p>
    </sec>
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