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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>LawV: Towards an Ontology-based Visual Modeling Language in the Legal Domain</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Cristine Griffo</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Maria das Grac¸as da Silva Teixeira</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Joa˜o Paulo A. Almeida</string-name>
          <email>jpalmeida@ieee.org</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Frederik Gailly</string-name>
          <email>frederik.gailly@ugent.be</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Giancarlo Guizzardi</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Conceptual and Cognitive Modeling Research Group (CORE) Free University of Bozen-Bolzano Piazza Domenicani</institution>
          ,
          <addr-line>3, 39100, Bolzano</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Faculty of Economics and Business Administration. Ghent University Campus Tweekerken.</institution>
          <addr-line>Tweekerkenstraat 2. 9000 Ghent.</addr-line>
          <country country="BE">Belgium</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>NEMO Conceptual Modeling &amp; Ontologies Research Group Federal University of Esp ́ırito Santo (UFES) Av. Fernando Ferrari</institution>
          ,
          <addr-line>514, 29075-910, Vito ́ria</addr-line>
          ,
          <country country="BR">Brazil</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>There has been an increase use of Domain-Specific Visual Modeling Language (DSVML) as a means of improving models' comprehensibility and, consequently, stakeholders' productivity. Combining the benefits of DSVMLs and of an ontological approach for designing and evaluating DSVMLs, we present, in this paper, the first-steps towards an ontology-based DSVML in the legal domain called LawV. The main purpose of LawV is to provide for a visual symbolic representation for legal statements. LawV has been built by applying an ontology-based language engineering method called PoNTO-S and UFO-L, a legal core ontology. To evaluate LawV, we instantiate a judicial case selected from the database of Appeal Court of the Esp´ırito Santo State in Brazil.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        In Conceptual Modeling, Visual Modeling Languages (VMLs) are important instruments
for improving communication among stakeholders. In particular, studies reveal that the
use of Domain-Specific Visual Modeling Languages (DSVML) increases productivity in
Software Engineering by 5 to 10 times when compared to general-purpose languages (e.g.
UML) [
        <xref ref-type="bibr" rid="ref24">Ka¨rna¨ et al. 2009</xref>
        ]. Also, it significantly increases the quality of the generated
model, the level of reuse, and the modelers’ perceived ease of use [
        <xref ref-type="bibr" rid="ref24">Ka¨rna¨ et al. 2009</xref>
        ].
      </p>
      <p>
        Combining the DSVMLs benefits with an ontological approach, [
        <xref ref-type="bibr" rid="ref16">Guizzardi 2013</xref>
        ]
proposed an ontology-based method to design and evaluate DSVMLs. The method
focuses on the properties of comprehensibility appropriateness and domain appropriateness
as quality criteria for DSVMLs. In this view, the language’s real-world semantics should
be clear, unambiguous, and semantically sound - in the sense that it should define a
precise ontological mapping to all the language constructs. Moreover, it should be expressive
enough to represent all the relevant domains concepts.
      </p>
      <p>Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).</p>
      <p>
        Despite the benefits of using ontology-based DSVMLs and design
ontological guidance, most languages for legal domain do not hold these aspects
concomitantly: These include LegalRuleML [
        <xref ref-type="bibr" rid="ref2">Athan et al. 2013</xref>
        ], Business Contract Language
(BCL) [
        <xref ref-type="bibr" rid="ref10">Governatori and Milosevic 2006</xref>
        ], Formal Language for Writing Contracts (FCL)
[
        <xref ref-type="bibr" rid="ref9">Farmer and Hu 2017</xref>
        ], Contract Language (CL) [
        <xref ref-type="bibr" rid="ref32">Prisacariu and Schneider 2012</xref>
        ], and
Visual Law [
        <xref ref-type="bibr" rid="ref19">Haapio and Passera 2013</xref>
        ]. Research in Visual Law often propose visual
notation for the no-reading contract problem, building symbols or drawings without
a categorization system nor ontological gui
        <xref ref-type="bibr" rid="ref7">delines [Haapio and Passera 2013</xref>
        ]. N o`mos
[Ingolfo et al. 2013] benefits from ontological foundations and the visual approach, but
does not apply guidelines for the construction of symbols. LegalRuleML or FCL do not
use either a visual-approach or explicit ontological foundations/guidelines to represent the
concepts from a real-world conceptualization. As result, all these languages exemplify
problems such as construct redundancy, construct overload, lack of proper interpretation
(unsoundness), or lack of expressivity (incompleteness) in the sense of [
        <xref ref-type="bibr" rid="ref16">Guizzardi 2013</xref>
        ].
      </p>
      <p>
        As a contribution to this area of visual representation of normative systems,
we present here, the first design steps of an ontology-based DSVML called Law
Visual Language (LawV). Our approach applies the ontology-based method proposed in
[
        <xref ref-type="bibr" rid="ref16">Guizzardi 2013</xref>
        ] that was expanded as a design approach in [
        <xref ref-type="bibr" rid="ref5">da Silva Teixeira 2017</xref>
        ].
This extended approach is named PoNTO-S (Physics of Notation Ontologized and
Systematized) [
        <xref ref-type="bibr" rid="ref5">da Silva Teixeira 2017</xref>
        ]1. PoNTO-S is a methodological framework for
supporting the systematic design of visual concrete syntax of modeling languages in a way
that is sensitive to the ontological aspects of the domain being represented. The design
method is composed of four macro-steps: 1) Building (or reusing) a legal core ontology
on which the DSVML at hand will be based; 2) Defining the DSVML’s abstract syntax;
3) Applying a set of ontological guidelines to build the DSVML’s concrete visual syntax
for the DSVML’s abstract symbols; and 4) Evaluating the DSVML.
      </p>
      <p>
        For the design of the DSVML proposed here, we reuse the legal core ontology
UFO-L [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo 2018</xref>
        ] as base for steps 1 and 2. UFO-L is based on a relational legal
theory and grounded on Unified Foundational Ontology (UFO) [
        <xref ref-type="bibr" rid="ref14 ref15">Guizzardi 2005</xref>
        a]. UFO-L
was built specializing categories from UFO-A, UFO-B, and UFO-C. We selected UFO-L
due to the fact that it has been successfully applied to a number of cases for the
conceptual modeling of legal relations [
        <xref ref-type="bibr" rid="ref13">Griffo et al. 2019</xref>
        ,
        <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
        ]. Also, it has
the benefit of being easily harmonizable with PONTO-S, given that the latter is based
on UFO-A. Since UFO-L is a Core Ontology, the resulting DSVML proposed here and
based on it is a language for representing Domain Ontologies2. To evaluate the proposed
language, we built a legal-domain ontology of mandamus3 based on UFO-L. We then
1PoNTO-S means “dots” in Portuguese. The idea is that the approach helps the language engineer
by ”connecting the dots” from concrete visual syntax to real-world (i.e., ontological) semantics. See
[
        <xref ref-type="bibr" rid="ref5">da Silva Teixeira 2017</xref>
        ], for an in depth discussion on how the design of ontology-based languages can
be developed and how PoNTO-S can be applied
      </p>
      <p>
        2See [
        <xref ref-type="bibr" rid="ref7">de Almeida Falbo et al. 2013</xref>
        ], for an in depth discussion on the relation between Core and
Domain Ontologies.
      </p>
      <p>
        3A mandamus or “writ of security” is a constitutional remedy prescribed in Brazilian Constitution as
a type of judicial action used to protect either individual or collective rights against abuse of power or
illegality of either a public authority, or the representative of a legal entity in charge of public attributions.
It is a very similar instrument to the “writ of mandamus” in the common law existing in the United States
of America legal system. For the the whole ontology, the reader is referred to [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo 2018</xref>
        ].
conduct an instantiation of this mandamus ontology using LawV. The selected instance is
a judicial case of mandamus selected from the database of Court of Appeals of Esp´ırito
Santo State. This paper is an updated and refined version of the initial ideas described in
[
        <xref ref-type="bibr" rid="ref5">da Silva Teixeira 2017</xref>
        ] and [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
        ].
      </p>
      <p>The remainder of this paper is structured as follows: Section 2 presents our
baseline, briefly elaborating on UFO and UFO-L, as well as on PoNTO-S. Section 3 describes
the steps in the design of LawV emphasizing method, evaluation, and results. Section 5
presents final considerations, including a discussion on future works.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Background</title>
    </sec>
    <sec id="sec-3">
      <title>2.1. Conceptual Foundations: UFO and UFO-L</title>
      <p>
        The relationship between language and a conceptualization of the real world (reality,
domain) goes beyond the concept of reality representation, a concept that still inspires debate
and it is a question not yet settled by scholars [
        <xref ref-type="bibr" rid="ref33">Recker and Niehaves 2008</xref>
        ]. A real world
conceptualization is defined as a set of concepts and their relations towards a dimension of
reality that exists in the mind of an individual or group of individuals [
        <xref ref-type="bibr" rid="ref14 ref15">Guizzardi 2005</xref>
        b].
The explicit and formal representation of a conceptualization shared through an artifact
with the use of a language is defined as an ontology. A domain-independent ontology that
can serve as support for building ontologies in different domains is termed a foundational
ontology. Unified Foundational Ontology (UFO) [
        <xref ref-type="bibr" rid="ref14 ref15">Guizzardi 2005</xref>
        b] is an example of a
foundational ontology.
      </p>
      <p>
        UFO has been built on results from Formal Ontology, Cognitive Psychology,
Linguistic, Philosophical Logic. It also embeds significant empirical and theoretical results
from the Conceptual Modeling literature. UFO is organized in three layers: (i)
UFOA is an ontology of Endurants [
        <xref ref-type="bibr" rid="ref14 ref15">Guizzardi 2005</xref>
        a], thus, dealing with structural aspects
of reality (e.g., objects, qualities, relators, endurant types and roles); (ii) UFO-B is an
ontology of Perdurants, which addresses temporal aspects of reality (e.g., events,
situations, and temporal relations) [
        <xref ref-type="bibr" rid="ref4">Botti Benevides et al. 2019</xref>
        ]; (iii) UFO-C is an ontology of
social aspects, grounded on UFO-A and UFO-B, which represents the social reality by
means of categories such as Social Agent, Normative Description [
        <xref ref-type="bibr" rid="ref18">Guizzardi et al. 2008</xref>
        ].
Over the years, a number of core ontologies based on UFO have been developed. These
include, for example, UFO-S [
        <xref ref-type="bibr" rid="ref27">Nardi 2014</xref>
        ], a reference ontology of services, and
UFOL [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
        ], which is a legal core ontology. For a full presentation,
ontological justification, and formal characterization of UFO, the reader should refer to
[
        <xref ref-type="bibr" rid="ref14 ref15">Guizzardi 2005</xref>
        a,
        <xref ref-type="bibr" rid="ref18">Guizzardi et al. 2008</xref>
        ,
        <xref ref-type="bibr" rid="ref4">Botti Benevides et al. 2019</xref>
        ].
      </p>
      <p>
        UFO-L [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo 2018</xref>
        ], [
        <xref ref-type="bibr" rid="ref13">Griffo et al. 2019</xref>
        ], is a core ontology that has been
developed based on legal theories, in particular, on Alexy’s Theory of Constitutional Rights
[
        <xref ref-type="bibr" rid="ref1">Alexy 2009</xref>
        ]. Here, we employed UFO-L in the building of LawV, stressing a relational
perspective of the Law.
      </p>
      <p>
        In the legal domain, semantic problems were studied by several legal theorists.
The jurist W.N.
        <xref ref-type="bibr" rid="ref20">Hohfeld [Hohfeld 1913</xref>
        ,
        <xref ref-type="bibr" rid="ref21">Hohfeld 1917</xref>
        ] proposed a set of legal concepts
pairs to clarify their meaning in different contexts. He observed that key legal terms such
as right were often misunderstood due to their frequent semantic overload. For instance,
in the expression “Service Users’ right of choice” the term right means liberty. However,
in the expression “right of driving” it takes on the meaning of permission, and in the
expression “right to charge taxes” it takes on the meaning of power.
      </p>
      <p>
        Decades later, the jurist and legal philosopher Robert Alexy proposed an extension
of
        <xref ref-type="bibr" rid="ref20">Hohfeld’s theory [Hohfeld 1913</xref>
        ] in his Theory of Constitutional Rights [
        <xref ref-type="bibr" rid="ref1">Alexy 2009</xref>
        ].
In his work, he clarified the meaning of every existing element from the original system,
proposed new legal positions, and advocated a triadic representation for each legal
position. Because of this approach, Alexy’s theory is effective to represent subjective legal
relations and to explain judicial cases where there is no legal norm established a priori.
      </p>
      <p>
        As an ontology with a relational perspective, UFO-L focuses on legal relations.
A legal relation is defined as a bond between subjects who play roles and hold relevant
positions for the Law. Each legal relation is reified by means of a Legal Relator, which
mediates entities that stand in correlate positions (e.g., if agent A has a right to action X
against agent B then B has a duty to action X towards A). This is represented by a triadic
structure captured in a Legal Relator pattern as proposed in [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
        ]. In that
pattern, a Legal Relator mediates Legal Agents who play Legal Roles and bear Externally
Dependent Legal Moments (e.g. right, duty, power, subject) towards each other. For a full
discussion on UFO-L, we suggest [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo 2018</xref>
        ,
        <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
        ,
        <xref ref-type="bibr" rid="ref13">Griffo et al. 2019</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>2.2. PoNTO-S: Physics of Notation Ontologized and Systematized</title>
      <p>
        A seminal work for the analysis and (re)design of visual aspects of modeling languages
is the Physics of Notation (PoN) [
        <xref ref-type="bibr" rid="ref26">Moody 2009</xref>
        ]. PoN defines a set of principles useful for
analyzing and designing the quality of visual concrete syntaxes.
      </p>
      <p>
        Although PoN has been so far applied in the development of several
VMLs, its application presents some difficulties, as discussed by several authors
        <xref ref-type="bibr" rid="ref36 ref6 ref8">(e.g., [van der Linden et al. 2016] and [da Silva Teixeira et al. 2016])</xref>
        . In particular, in
[da Silva Teixeira et al. 2016], the authors claim that when a VML designer is applying
PoN, they need design guidance. To solve this issue, they proposed a systematized
approach for applying PoN in the design of VMLs’ concrete syntax, called PoN-S (PoN
Systematized). PoN-S defines a way of grouping the PoN principles, some basic design
questions that should be answered by a language designer, and a structured set of design
activities.
      </p>
      <p>
        Another manner for improving the quality of VMLs is the application of
ontological guidance in their design. In that spirit, [
        <xref ref-type="bibr" rid="ref16">Guizzardi 2013</xref>
        ] elaborates on the connection
between some PoN principles and a number of ontological guidelines based on UFO. In
[
        <xref ref-type="bibr" rid="ref5">da Silva Teixeira 2017</xref>
        ], the author extend the proposal of [
        <xref ref-type="bibr" rid="ref16">Guizzardi 2013</xref>
        ], resulting in
the proposal of Physics of Notations Ontologized and Systematized (PoNTO-S), an
extension of PoN-S that adds details to some PoN-S activities, by leveraging on ontological
guidelines. Figure 1 4 identifies a fragment of PoNTO-S, containing some design tasks,
the desirable incomes and outcomes, the applied PoN principles and the corresponding
ontological guidelines. This fragment is related to the step 3 cited in the Introduction.
      </p>
      <p>The adequacy of PoNTO-S for the project undertaken here is justified in two ways.
Firstly, since our intention is to propose an ontology-based DSVML, by using PoNTO-S,
4The process is represented through an UML activity diagram, in which guidelines symbols (ellipses)
were added. These are characterized by color - orange for guidelines originated directly from PoN and pink
for those created in PoNTO-S.
we could leverage on the aspects of the core ontology adopted, as well as on the
ontological guidelines of the method to design the proposed language (considering aspects of
real-world semantics, as well as abstract and concrete syntax). Secondly, as already
mentioned, the fact that both the underlying core ontology and the method in this case agree
on their foundational ontology facilitates the entire process.</p>
    </sec>
    <sec id="sec-5">
      <title>3. LawV: An Ontology-based Visual Modeling Language for Legal Domain</title>
      <p>In the sequel, we describe the construction of LawV following the steps of the PoNTO-S
methodology as discussed in the previous section.</p>
      <p>FIRST STEP: Build (or reuse) a legal core ontology to serve as a foundation for
the DSVML.</p>
      <p>
        UFO-L is a core ontology, i.e., an ontology that can be used to build domain
ontologies that are strongly related, thus, forming a domain [
        <xref ref-type="bibr" rid="ref7">de Almeida Falbo et al. 2013</xref>
        ].
For example, UFO-S [
        <xref ref-type="bibr" rid="ref28">Nardi et al. 2013</xref>
        ] as a core ontology of services, can be used
to build more specific ontologies of health services and telecommunication services
[Falbo et al. 2016]. Since LawV is based on UFO-L, it should be regarded as a language
for modeling more specific domain ontologies in the general domain of legal relations.
In this context, the diagrams of LawV can be of two types representing either: (1)
domain ontologies and, thus, type-level diagrams; (2) or instances of a domain ontology
that should be based on UFO-L, thus, dealing with data representation, i.e., instance-level
diagrams. In the current work, we concentrate on the second type. The former type of
representation will be explored in a companion publication.
      </p>
      <sec id="sec-5-1">
        <title>SECOND STEP: Build the language’s abstract syntax.</title>
        <p>
          Following PoNTO-S, each UFO-L’s element is mapped directly onto an element
of LawV’s abstract syntax. Among the main concepts adopted in UFO-L to develop
LawV, we highlight: (i) Legal Agents play legal roles in a legal relation. Legal roles
are specializations of social roles and, therefore, they are sortals, anti-rigid and relational
dependent types [
          <xref ref-type="bibr" rid="ref14 ref15">Guizzardi 2005</xref>
          a,
          <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
          ]. Legal roles played by entities of
different kinds are abstracted into what is termed a Legal rolemixin. For example, in a
consumer relation model, legal agents play the legal role mixins of buyer and seller in
the buying and selling relation; particular agents such as an individual person and an
individual organization then play the legal roles of Personal Buyer (Personal Seller) and
Corporate Buyer (Corporate Seller), respectively5; (ii) Legal relations are reified by legal
relators, i.e., relational moments existentially dependent on legal agents. These agents
then play legal roles (mixins) in these scope of these legal relators; (iii) A legal relator
is composed of correlate legal positions (e.g., rights, duties, powers, subjections). Legal
positions are externally dependent legal moments inhering in a legal agent and externally
dependent on another legal agent. For example, a particular type of legal relator type
is the right-duty legal relator type. “A right–duty legal relator uses the legal relation
right–duty to bind right holder and duty holder. A right holder is someone who has a right
to something (an action or an omission) against a duty holder. A duty holder is someone
who has the duty to materialize the right of a right holder” [Griffo et al. 2015];
        </p>
      </sec>
      <sec id="sec-5-2">
        <title>THIRD STEP: Build the language’s concrete syntax.</title>
        <p>Tables 1 and 2 present a subset of LawV symbols representing the corresponding
subset of ontological categories in UFO-L.</p>
        <p>
          In order to apply PoNTO-S (Figure 1) to develop LawV, we take here a more
liberal interpretation of some of its initial guidelines. This is necessary because the proposed
guidelines are only explicit about object kinds. However, in this and other application
domains, we also need to represent kinds whose instances are not objects, such as, for
example, modes [
          <xref ref-type="bibr" rid="ref17">Guizzardi et al. 2018</xref>
          ]. Mode kinds play the same role as object kinds
in the sense that they also provide principles of identity, individuation, and persistence
for their instances. For this reason, we apply here the ontological guidelines proposed for
object kinds also for mode kind, i.e., like the former, the latter should also be represented
by a shape percept in the phase of visual construct mapping. However, the fact that modes
are existentially dependent entities (i.e., which necessarily inhere in some bearer), should
also be made explicit in the designed visual syntax. In this case, we choose to represent
the inherence relation as: a position variable (a visual variable), i.e., the mode at hand
should be positioned near its bearer (the proximity of the symbols presupposes the
connection between them); size variable, i.e., the mode should be represented in a smaller
size than its bearer (in this way turning easier to identify who is the bearer and what is
mode). Moreover, in the case of externally dependent modes that are part of a relator, the
representation of that mode should be contained in the representation of that
corresponding legal relator; the representation of that mode should be positioned relatively far (in
reference to the representation of that relator) from the representation of the individual it
is existentially dependent on.
        </p>
        <p>
          According to PoNTO-S guidelines, we proposed the following mappings: the
representation of Singular Legal Agents can be done by the person symbol plus a label;
5For a fuller discussion on the relation between roles and role mixins, one should refer to
[
          <xref ref-type="bibr" rid="ref14 ref15">Guizzardi 2005</xref>
          b]).
Agentive Legal Institution, by a familiar neoclassic house icon plus a label; Legal Roles
by the mask symbol in a small size, within the rectangle that represents Legal Relator, and
in the same color of the rectangle; Legal Relators by the proper rectangles; inherence
associations, by the position next to the respective; the correlates association, by the dotted
line connecting to the representation of the corresponding Externally Legal Moments; and
the externally-depends-on associations by proximity to the correlative Legal Role within
the same Legal Relator.
        </p>
      </sec>
      <sec id="sec-5-3">
        <title>FOURTH STEP: Evaluate the DSVML.</title>
        <p>Here, this step is divided into sub-steps: 4.1: Build a legal domain ontology based
on UFO-L; 4.2: Using LawV, instantiate the legal domain ontology built in 4.1 by using
a real judicial case taken from a legal database.</p>
        <p>
          In order to evaluate LawV, we built a legal domain ontology of mandamus
(OntoMandamus) and applied LawV to instantiate it. We also proposed a glossary with every
element of OntoMandamus. In the mandamus represented here, the clear and perfect right
(see below) that was harmed is personal and only the holder of this right has the
legitimacy to file the individual mandamus [
          <xref ref-type="bibr" rid="ref30">Pereira 2001</xref>
          ]. The following terms are considered
in the proposed ontology:
        </p>
        <p>(1) Illegal act is any public act (action or omission) performed by a public agent
in the exercise of a public function that, put under judicial analysis is declared illegal by
the judge. The judge’s statement that the act is illegal (i.e., it is an act violates the law)
grounds the judge’s decision of granting the writ of mandamus;</p>
        <p>(2) Clear and perfect right is the right proved by unequivocal documentation (the
right arising from facts that can be proven by documents that do not need subsequent
evidence). For instance, the right to life is prescribed in the Brazilian Constitution and
does not need to be proven. The simple invocation of the law in the petition is sufficient
enough;</p>
        <p>(3) Aggrieved Social Subject is the holder of the clear and perfect right. It is the
subject whose right was harmed or threatened. Active subjects can be: the universalities
or depersonalized entities, the private legal person, the natural person and depersonalized
public bodies, if endowed with procedural capacity. It is possible that one or several
aggrieved social subjects fill a mandamus, playing the role of plaintiff. For example: an
act that challenged the enrollment of 100 students may be attacked by several mandamus,
i.e., each person can file a mandamus to protect her/his right. Also, it is possible that all
victims (or a proper part thereof) join and file a single petition.</p>
        <p>(4) Injurer Public Agent is the coercive authority that performs, threatens to
perform or orders the execution of an illegal act that harms the clear and perfect right of the
active subject or, furthermore, orders the non-execution of a legal act. Passive subjects
can be: components of the Direct Public Administration (powers of the Federation, State
and Municipality) and Indirect Public Administration (municipalities, foundations,
public companies and joint enterprises providers of public services and private individuals or
legal entities with delegation of public authorities). An Injurer Public Agent will play the
defendant’s role in the judicial process of a mandamus.</p>
        <p>The petition for a mandamus will be analyzed by its objective criteria (preliminary
statements of the action) and its merit. In the absence of any objective criteria, the petition
is not going to be received and judged by the State-Judge, i.e., the judge will not analyze
whether or not there has been injury or threat to the right of the plaintiff. On the other
hand, once the petition is received, the Judge will analyze the merit, the alleged injury or
violation of law by act of public authority. In this case, it may: (i) partially approve or
totally approve the request(s) made by the plaintiff and order the public authority to do or
to abstain from doing something, in order to correct the illegal act; or (ii) the judge may
reject the request if s/he considers that the act is not an illegal act.</p>
        <p>The perspective modeled on OntoMandamus is that of the objective right that can
be turned into subjective right by relations between the roles of Aggrieved Social Subject
and Injurer Public Agent in the context of a mandamus. Figure 2 6 shows the fragment of
6The corresponding UFO-L supertype of each type represented therein here can be identified on Tables 3
and 4. According to PoNTO-S not all types of the ontology should be mapped to a symbol in the DSVML’s
OntoMandamus that represents the domain related to granting of the mandamus, that is,
the act performed by the authority is declared illegal by the judge.</p>
        <p>When a mandamus to act is granted by the judge, the defendant will be in a
position of duty to act before the plaintiff, who will be in a position of right to an action. This
action will correct the injury to plaintiff’s right. On the other hand, when a mandamus to
an abstention is granted by the judge, the defendant will be in a position of duty not to
take action in relation to the plaintiff, while the plaintiff will be in a position of having the
right that the defendant shall not practice the act that can injury the right. In both cases,
the illegal act is the event that will ground the legal relations built with the decision to
grant the mandamus.</p>
        <p>In OntoMandamus, the subjective part of a judicial process of mandamus is
formed by Plaintiff and Defendant and both are in a position of subjection to the
decision made by the judge, who holds the power to decide the judicial process, granting the
mandamus or not.</p>
        <p>The power to grant the mandamus will create a new legal relation between the
Aggrieved Social Subject, who suffered the illegal act, and the Injurer Public Agent, who
practiced the illegal act. In a mandamus to act, the former holds the legal position of right
to an action while the latter holds a legal position of duty to act.</p>
        <p>Tables 37 and 4 relate each entity identified in OntoMandamus and categorizes
them based on UFO-L. These tables also show the LawVs symbols used to represent
instances of OntoMandamus.</p>
        <p>Instantiation: Dedier’s case. Dedier, a civil police officer, public servant in
probationary stage, required a leave of absence for dealing with private affairs (LDPA), more
specifically, a leave from his work so that he could attend a clerk training course at the
National Academy of Federal Police. This position as a trainee at the National Academy
concrete syntax, only the concrete ones. For this reason, abstract types such as Categories and RoleMixins
are indirectly represented in LawV by their corresponding concrete subtypes.</p>
        <p>7The symbols that appear to be equal in these tables are differentiated upon instantiation by their
different connections.
is considered a Public Position in itself. However, the Civil Police Chief of the State of
Esp´ırito Santo (PC-ES) denied his leave request based on State law that does not allow
the granting of LDPA for public servants in probationary period. Dissatisfied with this
decision, Dedier filed a mandamus with a summary judgement injunction invoking the
Brazilian constitutional principle of access to public positions prescribed in the
Brazilian Constitution and the right to LDPA. The judge of the first instance denied summary
judgement because he understood that, prima facie, the right to leave would not apply for
servants on probationary period. Once more, discontent with the judge’s decision, Dedier
filed an appeal before the Court of Appeals of the State of Esp´ırito Santo (TJES) (process
number AG24079009809ES). The Appeal Court’s judge partially overhauled the first
instance judge’s decision, based on constitutional principles. Figure 3 shows a fragment of
Dedier’s case using LawV (OntoMandamus instantiation).</p>
        <p>Interpreting Figure 3: The judge of TJES declared illegal the act practiced by
the PC-ES Chief that denied the LDPA to Dedier. This event grounds the
powersubjection legal relation. The judge’s order to grant the mandamus in the process n.AG
24079009809ES is an event that grounds both the legal relations of power-subjection and
right-duty. In the first legal relation, the judge holds the power position to decide the case,
and both the plaintiff and the defendant are in the position of subjection to that power. In
the second legal relation, the PC-ES Chief holds the duty position of granting the LDPA
to Dedier while Dedier holds the position of right to this action. Additionally, the decision
prescribed by the judge contains a concrete legal rule (a Legal Normative Description) and
its physical support (i.e., a means by which it is materialized, e.g., a paper document).</p>
        <p>
          Results. We claim that LawV was properly constructed following the presented
method. In the evaluation phase, a model was instantiated by applying LawV (Figure 3)
to verify that it is able to represent a real case. We realized that it not only represents
the real case, but it also solves a recurrent problem observed in the empirical study
described in [
          <xref ref-type="bibr" rid="ref11 ref12">Griffo 2018</xref>
          ], [
          <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
          ], namely, the excess and crossing of lines as
an undifferentiated representation of multiple relationships. We claim that LawV
facilitated the representation and the interpretation of the case (the reader can compare the
case textual description and the graphical representation, as well as compare figures 2 and
3). The results are promising. However, for a more complete evaluation, an empirical
study is necessary to verify the quality of the language, in particular, w.r.t. ease-to-use
and comprehensibility issues.
        </p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>4. Final Considerations</title>
      <p>The study described here presents LawV, an ontology-based DSVML. We applied a
method to develop and evaluate LawV, considering UFO-L and PoNTO-S. The
evaluation of LawV was carried out by building an ontology of mandamus (OntoMandamus)
and instantiating a judicial case (Dedier’s case). The purpose of LawV is: 1) to support
law professionals in analyzing and identifying requirements in legal scenarios; 2) to assist
magistrates in the construction of case scenarios, so they can have a better understanding
of the scenarios involved in legal cases, as well as to verify the objective and subjective
requirements involved in a case; and 3) provide a tool to support the teaching Constitutional
Law by means of a visual language.</p>
      <p>
        Several legal domain ontologies have been proposed over the last decades. For
example: Dutch Tax Ontology [
        <xref ref-type="bibr" rid="ref3">Boer and van Engers 2003</xref>
        ], International Copyright Law
Ontology [
        <xref ref-type="bibr" rid="ref25">Lu and Ikeda 2007</xref>
        ], Mediation Core Ontology [
        <xref ref-type="bibr" rid="ref31">Poblet et al. 2009</xref>
        ]. All these
ontologies represent sub-domains of Law: Medical law, which regulates the relations
between health professionals and patients; Intellectual Property law, which regulates the
relations between artifacts creators, blueprints, software, and society. Since LawV is
a language for representing domain ontologies, it could in principle be used to address
these sub-domains. Testing the language in different case studies in these domains is
something we intend to do as part of our future work. This could be a first step in
developing DSVMLs in these sub-domains. To facilitate the application of LawV in multiple
situations, we also intend to develop a visual editor for this language.
      </p>
      <p>
        We emphasize that we could not find in the literature DSVMLs based on the
aforementioned ontologies. As an example of a language used for legal visual modeling, we
highlight the language No` mos
        <xref ref-type="bibr" rid="ref22 ref23 ref35">([Siena 2010], [Ingolfo et al. 2013], [Ingolfo et al. 2014])</xref>
        .
This language was contrasted with a representation based on UFO-L in the experiment
described in [
        <xref ref-type="bibr" rid="ref11 ref12">Griffo et al. 2018</xref>
        ].
      </p>
      <p>
        We agree with the claim “Law can be made more comprehensible if it is made
more visual” [OPEN LAW LAB ]. As highlighted by [
        <xref ref-type="bibr" rid="ref34">Rossi and Palmirani 2015</xref>
        ], there
is still a gap for a comprehensive framework for visual interpretation of legal texts. The
research reported here is a contribution towards this goal.
      </p>
    </sec>
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