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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>An OWL Ontology and Bayesian Network to Support Legal Reasoning in the Owners Corporation Domain</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Peter Condliffe</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Brooke Abrahams</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>John Zeleznikow</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Peter.Condliffe</institution>
          ,
          <addr-line>Brooke.Abrahams, John.Zeleznikow}vu.edu.au</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>School of Management and Information System, Victoria University</institution>
          ,
          <addr-line>Melbourne</addr-line>
          ,
          <country country="AU">Australia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2010</year>
      </pub-date>
      <fpage>51</fpage>
      <lpage>62</lpage>
      <abstract>
        <p>The paper describes the development of a legal decision support guide for owners corporation cases in the state of Victoria, Australia that uses an OWL ontology and Bayesian Network to perform legal reasoning. The rate of growth of owners corporations (also known as body corporate or strata title properties) has increased significantly in the last two decades. Because of this growth, and the need to manage a rapidly expanding population, the governance and management of these entities has become an important concern for government. Conflict and its management within them is an essential element of this concern. Cases that can't be settled through negotiation are often referred to the Victorian Civil and Administrative Tribunal (VCAT). Using an OWL ontology we have systematically modeled legal arguments and outcomes of past cases heard by VCAT to facilitate both stand alone and Web based information retrieval, extraction and case based reasoning. A Bayesian Belief network is also used to deal with assumptions that tend to be prevalent in commonsense reasoning. Through our system we aim to provide negotiation decision support to help guide owners corporation disputants through the grievance process.</p>
      </abstract>
      <kwd-group>
        <kwd>OWL ontology</kwd>
        <kwd>Bayesian network</kwd>
        <kwd>legal reasoning</kwd>
        <kwd>Victorian Civil and Administrative Tribunal (VCAT)</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        The rate of growth of owners corporations (OC) in Australia, according to the
Australian Bureau of Statistics National Census 2006 is about twice that of detached
housing since 1981.1 In the big population centers of Sydney and Melbourne they
now comprise approximately a third of all dwellings. Because of this growth and the
need to manage a rapidly expanding population, the governance and management of
these entities has become an important concern for government. Conflict and its
management within them is an essential element of this concern (see [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] and [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]).
      </p>
      <p>
        Our research aims to promote better management of these conflicts by providing a
negotiation decision support guide for property owner disputes that mirrors judicial
reasoning practices so that disputants can negotiate more deliberatively before
proceeding to litigation. The system uses an OWL ontology to formalize legal
arguments, and a Bayesian Belief Network [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] to infer judicial outcomes for cases
heard in Victorian Civil and Administrative Tribunal (VCAT).
      </p>
      <p>The paper commences with a discussion of cased based legal reasoning systems
followed by a brief overview of recent initiatives involving the semantic Web and
ontologies in the legal domain. Limitations of using ontologies for case based legal
reasoning are examined and we describe how Bayesian Belief networks can help
improve the inference capabilities. Specific aspects of the Victorian Owners
Corporation Act (2006) are then described including the current legislative process for
resolving disputes and the role of the Victorian Civil and Administrative Appeals
Tribunal (VCAT). We identify factors considered by VCAT members in their discrete
areas of decision making and show how these factors have been used to develop an
OWL ontology and a Bayesian Belief network for the OC domain. Example queries
are then used to demonstrate legal reasoning. The paper concludes with a brief
discussion of our industry partner’s involvement in the project and our future research
plan.</p>
    </sec>
    <sec id="sec-2">
      <title>2 Case Based Legal Reasoning</title>
      <p>
        The ways in which past cases are used in arguments has long been of major research
interest to practitioners and academics in the field of artificial intelligence (AI) and
law. The current best known approach to Case Based Legal Reasoning is to represent
cases as collections of factors favoring plaintiff and defendant, e.g. Cato [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and
HYPO [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Factors are described by [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] as stereotypical collections of facts that,
experts agree, influence the outcome of a case. The presence a factor makes a case
stronger or weaker for the plaintiff. These models help to clarify and test hypotheses
about processes of reasoning with cases in the legal domain. They also provide a
potential basis on which to build software applications [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Two key challenges faced
in building cased based legal reasoning systems are (1) how to reason about the
significance of differences between cases and (2) how to assess the relevance of
precedent cases to a given problem situation. A number of approaches aimed at
addressing these issues have been explored in the past with varying degrees of
success. Hypo for example uses dimensions to generate arguments that compare and
contrast hypothetical modifications of a problem, while Cato focuses on background
knowledge about the meaning of factors to evaluate the similarity of cases at multiple
levels of abstraction and from different viewpoints.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3 Ontologies in the Legal Domain</title>
      <p>
        The Semantic Web is a Collective effort led by the W3C in which an evolved Web
describes data in a shared and formal format to be useful for people and machines
alike, allowing data to be shared and reused across applications, enterprises, and
community boundaries [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. This opens up new horizons for Web based legal systems
with new tools and services focusing on conflict prevention, conflict tracking, debate
and negotiation. Ontologies are an essential component of the semantic Web. An
ontology defines the basic terms and relations comprising the vocabulary of a topic
area as well as the rules for combining terms and relations to define extension to the
vocabulary [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. In the legal domain ontologies have been useful in a number of
applications to support information retrieval, extraction, integration and case based
reasoning as demonstrated by [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] and [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>
        The OWL language became a W3C recommendation for building ontologies in
February 2004. The latest version is OWL 2 which provides more modeling
primitives, greater cardinality and extended data type and annotation support than the
original language specification. There are three sub-species of OWL called OWL Lite,
OWL DL and OWL Full; each with increasing expressive power. OWL DL is
designed to be classified using a Description Logic reasoner to automatically check for
inconsistencies and compute an inferred hierarchy. While OWL DL is a natural
framework for representing facts and reasoning about facts, like other forms of
deductive logic [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], it is not capable of dealing with assumptions that tend to
be prevalent in commonsense reasoning. An ontology based approach to cased based
reasoning works well when facts of a query precisely match the facts of outcomes
stored in the cased base. It is difficult to infer judicial outcomes, however, when some
facts are known about a case but there is also incomplete information, or alternatively,
where some facts are the same as in previous cases but other facts differ. This problem
is known as the monotonicity problem [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
4
      </p>
    </sec>
    <sec id="sec-4">
      <title>Modelling Legal Arguments with a Bayesian Network</title>
      <p>
        Modelling judicial reasoning with a Bayesian network addresses the monotonicity
problem by allowing facts to be assertible and retractrible based on what is known
about a problem. Bayesian belief networks are graphical tools for specifying
probability distributions. They rely on the basic insight that independence forms a
significant aspect of beliefs that can be elicited relatively easily using the language of
directed acyclic graphs (DAGs). Nodes in a DAG represent propositional variables
and edges of the nodes represent direct causal influences among these variables [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
The network is guaranteed to imply a unique value for each of the network
probabilities and in effect forms its own assumptions to fill in the missing facts.
Probabilities are then revisable upward or downward depending on what else is
known.
      </p>
    </sec>
    <sec id="sec-5">
      <title>5 Current Legislative Process and the Role of VCAT</title>
      <p>
        Owners Corporation disputes that can’t be settled through negotiation are often
referred to the Victorian Civil and Administrative Tribunal (VCAT). Under Section
162 of the Victorian Owners Corporation Act (2006), VCAT may hear and determine
a dispute or other matter arising under this act or the regulations or the rules of
an owners corporation that affects an owners corporation including a dispute or matter
relating to:
a) the operation of an owners corporation ; or
b) an alleged breach by a lot owner or an occupier of a lot of an obligation
imposed on that person by this Act or the regulations or the rules of
the owners corporation ; or
c) the exercise of a function by a manager in respect of the owners corporation.
It is interesting to observe how the reported cases have managed this schema. The
cases available through the Australasian Legal Information Institute (AustLII)2
provides an overview of the most important and frequent matters coming before
VCAT and the Supreme Court3. An analysis of these cases indicates at least twelve
discrete areas of decision making or issues have emerged as follows:
1) Applications for Unpaid Fees
2) Conduct of Litigation
3) Vexatious and Frivolous Claims
4) Legal and Other Representation
5) Substituted Service of Proceedings
6) Costs
7) Joinder of Parties
8) Overturning Majority Decisions of an OC
9) Appointment and Termination of Managers
10) Issues with Common Property
11) Lot Liability
12) Licenses and Easements
For VCAT there is clearly a two step procedure. First is to determine that there is a
“dispute” within the meaning of section 162. If there is such a dispute then section
165 provides that the decision be guided by the principle of “fairness” under which a
number of further factors or considerations apply. A hierarchy of factors can thus be
discerned which could be defined as a “decision or argument tree” for the guidance of
the Tribunal. In this sense the plan of the Act provides a decision tree that could be
represented as follows in Table 1. A more detailed discussion of the Victorian Owners
Corporation Act (2006) and the role of VCAT in determining OC rulings can be
found in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
      <sec id="sec-5-1">
        <title>2 http://www.austlii.edu.au/ Last accessed 3 September 2010.</title>
        <p>3 Available at http://www.austlii.edu.au/ (at this time approximately 85 in number).
6</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>A Legal Decision Support Guide for OC Disputes</title>
      <p>For the purposes of this paper the issue of what circumstances VCAT would overturn
a decision of the OC (number 8 in the list above) is examined. In particular, we are
interested in how the decision outcomes are arrived at so as to guide potential
disputants in decision making. This category of dispute provides a good background
against which to examine how the Tribunal is interpreting and applying the provisions
of the Act and in particular the factors outlined in the argument tree in Table 1.
6.1</p>
      <p>An OWL Ontology for Legal Reasoning
Our domain expert4 has modeled judicial reasoning for owners corporations cases
heard by VCAT using an OWL ontology to capture the discrete areas of decision
making and factors used in legal arguments identified in the previous section. The
ontology which is shown in Figure 1 was created using the Protégé ontology editing
and acquisition tool. We used the recently released version 4.1 Beta of Protégé which
supports OWL 2.
4 Co-author Peter Condliffe is a Nationally Accredited Mediator and Advanced Mediator at the
Victorian Bar and LEADR.</p>
      <p>To create a case base, outcomes of all past cases were modeled as Defined Classes.
Facts of past cases are represented as Necessary and Sufficient class restrictions. A
Necessary data property restriction “hasOutcome” is used to instantiate instances of
this class with the string value “Allow time to remedy”. Figure 2 shows the defined
OWL class “Allow time to Remedy”.
The axiom below which forms part of the Necessary and Sufficient conditions is
called a closure axiom:
(hasFactor only
(IntentToRectifyBreach
or IsBreachOfLaw
or IsGoodFaith
or NegativeImpact
or NoDescrimination))
Facts of a query must precisely match the facts of the closure axiom for the query to
return the outcome. The reason for using a closure axiom is to prevent an outcome
being incorrectly returned when additional facts may have invalidated the result.
Figure 3 shows the creation of a query class. A query is created as a Primitive class
meaning facts are entered as Necessary class restrictions.</p>
      <p>
        By running the reasoner and classifying the ontology to create an inferred hierarchy
Query 1 below is now reclassified under the outcome class “Allow time to Remedy”.
The Boswell V Forbes case describe in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] now appears as an instance of the “Allow
time to Remedy” class in the inferred ontology model and is thus instantiated with
this outcome by the string data property restriction “hasOutcome”.
As previously noted, the ontology approach to case based reasoning works well when
facts of a query precisely match the facts of outcomes stored in the case base. It is
more difficult to infer outcomes, however, when there is incomplete information or
when there are additional facts that do not match the facts of past cases. To query the
case base and infer outcomes for non matching cases, a Bayesian Belief Network is
used. Results of queries from the Bayesian network are then used to create Defined
classes in the OWL ontology so that queries can be processed in the same way as in
the previous example. We used the Samiam5 tool to create separate Bayesian
networks for the discrete areas of decision making outlined in section V. Elicitation
sessions were conducted with our domain expert6 in order to define the network
structure shown in Figure 5 which differs slightly from that of the OWL ontology.
Nodes in the network represent the decision making factors described in section V.
Figure 6 is a DAG for cases involving the issue of ‘Overturning Majority Decisions of
an OC’. The two nodes at the top of the graph “Overturn OC Resolution” and “Allow
OC to remedy” are defined as ‘query variables’. They represent possible outcomes for
cases involving a particular issue and are used to query the probability of each
outcome occurring given the particular facts of a case. The nodes below this are called
‘evidence variables’. They are used to assert evidence (facts) about a case.
5 Samiam freeware version is available at: http://reasoning.cs.ucla.edu/samiam/index.php
Last accessed 3 September 2010.
6 Co-author Peter Condliffe is a Nationally Accredited Mediator and Advanced Mediator at the
Victorian Bar and LEADR.
Our domain expert used his knowledge to develop a probability distribution to capture
degrees of belief for each node in the DAG’s so that Pr captures the probability of
observing each value x of variable X with every instantiation u of its parents U. In
this case, the variables x have been restricted to Boolean Yes/No values. More fine
grained input values with varying decrees of belief can be used if need be. We now
demonstrate the use of the network with a hypothetical scenario. Asserted facts for the
case are shown in red and display a 100% input value. These are classified as hard
evidence. Inferred facts (assumptions) are shown in green and are classified as soft
evidence.
      </p>
      <p>Asserted Facts
 There was discrimination against the complainant
 Overturning the decision would impact lot owners as a whole
 There was no breach of law.</p>
      <p>Inferred Outcome
In this example the DAG inferred that the resolution should not be overturned. Even
though there was discrimination against the complainant, the fact that overturning the
decision would impact on lot owner as whole combined with the fact that there was
no breach of law tip the balance of probabilities in favor of not overturning the
resolution. The inferred outcome can now be created as a Defined ontology sub-class
of “Outcomes” in the OWL ontology by inserting the following code into the OWL
file using string manipulation and a standard Java “println” command:
&lt;owl:Class rdf:ID="NotOverturn"&gt;
&lt;rdfs:subClassOf rdf:resource="#OverturnOCRsolutionOutcome"/&gt;
&lt;owl:equivalentClass&gt;
&lt;owl:Class&gt;
&lt;owl:intersectionOf rdf:parseType="Collection"&gt;
&lt;owl:Restriction&gt;
&lt;owl:allValuesFrom&gt;
&lt;owl:Class&gt;
&lt;owl:unionOf rdf:parseType="Collection"&gt;
&lt;owl:Class rdf:about="#NoBreachOfLaw"/&gt;
&lt;owl:Class rdf:about="#IsDescrimination"/&gt;
&lt;owl:Class rdf:about="#NegativeImpact"/&gt;
&lt;/owl:unionOf&gt;
&lt;/owl:Class&gt;
Having inserted the above text into OWL ontology the outcome can now be processed
as a Defined class in the same way as the “Allow time to Remedy” class in Figure 2.</p>
    </sec>
    <sec id="sec-7">
      <title>7 Conclusion</title>
      <p>
        With the rapid of growth of owners corporations in Victoria, Australia over the last
thirty years, conflict and its management has become an essential element of concern.
Current legal remedies, however, are widely seen as inadequate. Our research aims to
assist with better management of these conflicts by providing a negotiation decision
support guide for property owner disputes that mirrors judicial reasoning practices so
that disputants can negotiate more deliberatively before proceeding to litigation. 7 led
to the development of the OWL ontology and Bayesian Belief network to be used as a
decision support guide for OC cases. Preliminary evaluations have shown the OWL
ontology to be capable of precisely replicating the outcomes of past cases when the
exact same facts of the real case are entered. Testing with hypothetical cases has also
satisfied our domain expert that inferred outcomes obtained from the Bayesian
Network are consistent with logical judicial reasoning. The next phase of the research
will be to test the robustness of the conclusions drawn using a more formal technique
called sensitivity analysis [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] where outcomes are checked against perturbations in
the local probabilities. This will be an iterative process with the analysis expected to
lead to further refinement of the network structure and adjustment of the conditional
probability tables (CPTs). The system will then be deployed as a Web application
using the Jena semantic Web framework. Members of the project team were
previously successful in developing the AcontoWeb [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] semantic portal using the
Jena framework and Pellet reasoner.
      </p>
      <sec id="sec-7-1">
        <title>7 http://vbcs.com.au/ Last accesses September 4 2010.</title>
        <p>.</p>
      </sec>
    </sec>
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