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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Explanation in Hybrid, Two-Stage Models of Legal Prediction</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>L. Karl Branting</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>The MITRE Corporation McLean</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>USA lbranting@mitre.org</string-name>
        </contrib>
      </contrib-group>
      <abstract>
        <p>This paper identi es a core set of legal decision support tasks requiring distinct forms of explanation, outlines a hybrid, two-stage model of legal prediction, describes how this model facilitates these explanation tasks, and outlines the development requirements of two-stage models.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        Explainability is a key requirement for AI systems to be understood, trusted,
validated, and maintained. Recent research on explainability in AI has led to
the recognition that there is no universal criterion for explanation utility and
acceptability [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Instead, explanation acceptability and utility depend on the
nature of the AI algorithm to be explained, the task to which the algorithm is
applied, and the needs, expectations, and knowledge of the individuals for whom
the explanations are produced.
      </p>
      <p>
        Explicating the explanation requirements of legal AI systems is particularly
challenging because there are many disparate stakeholders in legal systems, each
with distinct objectives and levels of knowledge. As a result, legal problem solving
encompasses a variety of legal tasks, each with distinct information-processing
and explanation requirements. Approaches to explanation that focus on
transparency [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] of algorithmic processes are generally useful for these tasks only if
the individual algorithmic steps are based on concepts that are (1) legally
meaningful or (2) grounded in case facts. Stated di erently, these concepts must have
an understandable connection to authoritative legal rules or to descriptions of
possible states of the world, e.g., persons, actions, relationships, etc. Other
concepts, such as connection weights, variable bindings, or decision surfaces might
be useful for system veri cation but are unlikely in themselves meaningful to
the stakeholders for whom decision support systems are developed. Post-hoc
explanation approaches, like Local Interpretable Model-Agnostic Explanations
(LIME) [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], may give rise to due process issues by misleading the user about
the actual basis of a prediction or decision.1
1 For another view see [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] (post hoc explanations for divisions of marital assets
calculated by an opaque machine learning model).
      </p>
      <p>This paper focuses the explanation needs two particular
stakeholders|selfrepresented (pro se) litigants and the adjudicators who resolve claims by these
litigants|in the context of legal prediction. Section 2 sets forth a model that
distinguishes the individual tasks of these stakeholders. Section 3 describes a
hybrid, two-stage models for legal prediction, and the use of such models for
explanation is set forth in Section 4. The requirements for the development of
hybrid, two-stage models is summarized in Section 5, and Section 6 summarizes
and outlines future work.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Decision Support for Adjudicators and Pro Se Litigants</title>
      <p>The objective of adjudicators is to resolve disputes, and the objective of litigants
is to have their disputes resolved. This symmetry in objectives is re ected in a
correspondence between the individual tasks that each must accomplish for a
dispute to be resolved. Figure 1 illustrates how the overall case-adjudication process
can be viewed from either perspective as consisting of three stages: initiation,
assessment, and disposition.2 Each of these stages can be further subdivided into
individual tasks, each with separate information-processing requirements.</p>
      <p>To initiate the adjudication process, a claimant must rst identify a legal
claim that could potentially achieve the petitioner's goals (Task 1), then assert
facts needed to establish the claim (Task 2), and nally determine what
procedures are needed to move the claim forward (Task 3). To avoid being burdened
2 This model does not address the various processes that may be required for hearings
or trial, such as introducing evidence, testifying, or otherwise establishing the facts
underlying the claim, which di er widely across di erent tribunals and causes of
action.
with poorly-expressed claims that are di cult and time-consuming to
understand and assess, an adjudication body must perform three corresponding tasks:
identify the claim sought by the claimant (Task 10), elicit the facts relevant to
that claim (Task 20), and inform the litigant of the procedure to assert the claim
(Task 30).</p>
      <p>Once a case has been initiated, a litigant needs to understand whether the
facts as asserted are su cient to establish a prima facie case, that is, whether
the facts if accepted would be su cient to establish the claim (Task 4) and, if so,
the probability of success should the claim be litigated (Task 5). It bene ts both
the litigant and the adjudicator for the litigant to have a realistic assessment of
whether success on the claim is likely enough to justify continuing rather than
abandoning the claim. After the claim is adjudicated, the litigant and adjudicator
once again have corresponding tasks involving the adjudicator informing, and the
litigant understanding, the consequences of the ruling.</p>
      <p>
        Traditional legal decision-support systems generally focus on the pro se
litigator's Tasks 2, 4, and sometimes 5 (the adjudicator's Tasks 20, 40, and 50):
eliciting facts, assessing whether a prima facie case has been established [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ],
and predicting the likelihood of success (typically in a highly-simplistic fashion).
Generally, case facts are elicited through llable web forms in the form of
attribute/value pairs [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. Legal reasoning in such systems is typically limited to
simple propositional logic implemented in imperative programming constructs.
This approach is conducive neither to veri cation nor to explanation, creating a
signi cant risk of incorrect or incomprehensible legal advice [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].
      </p>
      <p>As argued above, to be useful and comprehensible for the key tasks list
above, explanations must be expressed in terms of concepts that are (1) legally
meaningful or (2) grounded in facts. A family of predictive models that operate
on such concepts is described in the next section.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Hybrid, Two-Stage Models of Decision Prediction</title>
      <p>
        Many forms of legal argumentation and discourse are structured around precise
rules that are modeled well by logic. Other aspects of legal problem solving, such
as grounding the semantics of legal terms in the language of ordinary discourse,
have no natural t within the logical framework but are better suited to empirical
analysis. The complementary role of logical reasoning with rules and semantic
reasoning with case facts motivated a number of hybrid reasoning systems that
combined rule-based with case-based reasoning [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] or other types of
semantic analysis [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. Hybrid approaches are intended to model the ability of
human attorneys to create arguments that integrate arguments based both on
prior cases and on rule-like norms, such as regulations and statutes.
      </p>
      <p>For example, Figure 2 depicts a simpli ed hybrid model of VBA bene ts
determinations. Entitlement to bene ts depends on four elements: military
service; service-related injury' current disability; and a causal connection between
the service-related injury and the current disability. Conceptually, these four
elements are legal predicates, and entitlement to bene ts requires establishing
that each predicate is satis ed by the facts of the case. Each individual element
in turn must be evaluated in terms of the facts of the case.</p>
      <p>Early hybrid systems were able to attain an impressive level of explanatory
capability, but they depended on manually represented case facts and were
therefore are not scalable for practical systems in which case facts are expressed as
text. In contrast, recent machine learning techniques have made it increasingly
feasible to make legal predictions based on case facts expressed as text, but at
the expense of explainability.</p>
      <p>
        For example, machine learning models trained on fact statements have
produced impressive levels of accuracy in predicting decisions of the European
Court of Human Rights [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], US Board of Veterans Appeals cases, French
Supreme Court decisions [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ], UK court decisions [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], and World Intellectual
Property Organization domain-name disputes [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. However, outcomes predicted
by these systems aren't justi ed in terms of legally relevant concepts or facts.
Instead, the features on which the predictions are predicated are statistical
features of the text, such as n-gram frequency vectors, metadata, or other features
unrelated to the merits of the case. In some applications, such as litigation
support, there can be signi cant strategic value in knowing the association between
outcomes and factors unrelated to the merits, such as law rms and judges [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ],
but understanding predictions based on factors relevant to the actual merits of
a case is vital both for pro se litigants themselves and adjudicators who have an
institutional obligation to justify each decision regardless of whether a decision
support tool assisted in analyzing or deciding the case.
      </p>
      <p>
        One approach to enabling machine learning models to explain predictions in
terms of legally relevant concepts is to conceptualize the process of prediction
as consisting of two steps, depicted notionally in Figure 3.3 The rst model
3 Another approach uses attention networks to identify the most relevant parts of case
statements. One attempt at this approach proved ine ective for decision support in
[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
predicts the relevant concepts from the case text, and the second step predicts
the decision based on the concepts predicted in the rst step. Transparency in
the second step's model can be the basis of explanation in terms that are legally
meaningful, factually grounded, and useful for users' tasks.
      </p>
      <p>
        The hybrid approach can be combined with the two-stage model as
illustrated in Figure 4, which shows an architecture for World Intellectual Property
Organization (WIPO) domain name disputes that is hybrid in that it includes
both policy rules and text-interpretation components, and two-stage in that
legal predicates (e.g., \The domain name is confusingly similar to Complainant's
trademark,") are factually grounded in the case text via intermediate factual
features (e.g., \The domain name contains Complainant's trademark entirely").
The two-stage component of this architecture, which included a separate model
for predicting each of 46 factual features from textual case statements, was
implemented in the SCALE system described in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The motivation for predicting
factual features which are then used to reason about the outcome is that factual
features are meaningful in terms of the facts of the case and are therefore more
likely to be comprehensible by and useful for users, as described in the next
Section.
4
      </p>
    </sec>
    <sec id="sec-4">
      <title>Explanation in Hybrid, Two-Stage Systems</title>
      <p>The research literature on legal decision support systems is woefully de cient in
human factors studies needed to explicate pro se litigants' cognitive assistance
requirements. As a result, the explanation requirements of pro se litigants are
known only anecdotally. In the absence of such empirical studies, this section is
guided by the task model set forth in Section 2.
4.1</p>
      <sec id="sec-4-1">
        <title>Process Initiation</title>
        <p>
          Hybrid systems contain both explicit legal rules and mechanisms for grounding
legal predicates in case facts. Tasks 1 and 2 from the decision-support model
above are explainable from the rule component of a hybrid system. Identifying
a legal claim that would achieve a litigant's goal, Task 1, requires nding a legal
rule whose consequent matches the objective sought by the litigant. The primary
explanatory challenge of this process is overcoming the linguistic gap between
legal predicates and ordinary discourse [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ].
        </p>
        <p>
          Task 2, assisting the user in asserting the facts relevant and necessary for
a claim, requires reasoning with explicit legal rules as well. A claimant must
establish each of the elements required for a claim. All the claimant needs to
know, however, are the predicates at the leaves of the rule tree, i.e., the predicates
that must be grounded in case facts because the rules have \run out" [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ]. In the
WIPO domain, for example, the rst element that a complainant must establish
is that the domain name is \identical or confusingly similar to the complainant's
trademark." In a two-stage model, this requirement could be explained by listing
factual features that con rmed or rebut the predicate, e.g., the predicate above is
con rmed if the \domain name contains the trademark entirely" or the \domain
name is the trademark plus a term of disparagement." Each of these factual
features can in turn be explained by examples of texts from the training set in
which the factual features were de nitely present or absent.
4.2
        </p>
      </sec>
      <sec id="sec-4-2">
        <title>Assessment</title>
        <p>
          Useful explanations are typically contrastive, that is, they identify how
something di ers from some reference or expected case [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. Thus, the explanations
most useful for Task 4, understanding whether the claimant's assertions are su
cient to establish a prima facie case, may generally be those that focus on how the
assertions are insu cient, i.e., how they di er from the claimant's expectation
that the claim would be su cient. Such explanations should help the claimant
understand what additional factual assertions would be necessary to establish
the claim. In principle this would require identifying the minimal set of su cient
additional facts. In practice, however, simply identifying the smallest set of
predicates that failed in any traversal of the rule tree might be su cient. As with
Task 3, the factual features in a two-stage model would permit a meaningful
explanation of what additional assertions would be needed, e.g., if a WIPO claim
is insu cient because it fails to make assertions that, if true, would satisfy the
rst element, being \identical or confusingly similar," then a two-stage system
could explain that the claim fails to assert that the domain name contains the
trademark, is the trademark plus a term of disparagement, or any of the other
known forms that being \identical or confusingly similar" can take.
        </p>
        <p>For Task 5, determining the probability of success, the most meaningful
explanation is again likely to be contrastive, i.e., \Why is the probability of success
so low?" or "How can I make the probability higher?". The two-stage model
permits such questions to be answered in terms of individual factual features, e.g.,
if there is a particular leaf predicate whose strongest support is from a weekly
supported factual feature, then the explanation would be that there is only weak
support for that predicate and that additional ad. As with Task 4, an
explanation of this type could help the claimant understand what additional facts would
need to be established to strengthen the case.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Engineering Two-Stage Models</title>
      <p>This paper has argued for the utility of hybrid, two-stage legal prediction models
from the perspective of the goals and needs of pro se litigants and adjudicators.
The full details of how such two-stage models can be constructed are outside of
the scope of this paper, but a brief discussion can clarify the basic requirements.</p>
      <p>
        Two approaches have been explored for identifying factual features
intermediary between legal predicates in the leaves of rule trees and case facts, such
as those described in this paper. In the rst approach, the factual features are
developed by domain experts in the relevant area of law and correspond to fact
patterns that can make a case stronger or weaker. CATO factors are features of
this type [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Machine learning models for extracting such factors from case text
for the purpose of factor-based case prediction were trained and evaluated in [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]
and [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ].
      </p>
      <p>
        A second approach focuses on textual patterns that occur in explanations of
case decisions. One approach to identifying such textual patterns is to annotate
factual ndings in a representative set of published decisions, then map those
initial annotations onto an entire corpus based on proximity in semantic
embedding space [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. This approach has the potential bene t of leveraging a small
set of annotations onto a much larger corpus, but has the limitation that it is
applicable only when decisions that include text setting forth the ndings or
reasoning underlying the decision.
      </p>
      <p>
        Factual features induced from case statements can be used for case-based
dialectical reasoning, as in [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], or for supervised concept learning, as in [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and
6
      </p>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>
        [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The latter approach lends itself to to explanations based on the presence or
absence of features, which are themselves individually comprehensible.
This paper has identi ed a core set of legal decision support tasks requiring
distinct forms of explanation, outlined a hybrid, two-stage model of legal
prediction, described how the model facilitates these explanation tasks, and concluded
with a brief description of the development requirements of two-stage models.
Future work in decision support for pro se litigants and adjudicators who
handle their cases should include human-factors analysis of (1) how pro se litigants
conceptualize their claims and their interactions with decision forums to address
the key questions, and (2) what forms of explanation are most bene cial to these
litigants in terms of the rate of success in asserting claims, time e ciency, and
overall satisfaction with the decision support process. Regardless of the outcome
of this research, it seems very probable that useful decision support systems for
explainable legal prediction must have a hybrid, two-stage design that permits
explanation both in terms of legal predicates and in terms of factual features to
span the gap between legal predicates and the language of ordinary discourse.
      </p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgments</title>
      <p>The MITRE Corporation is a not-for-pro t company, chartered in the public
interest. This document is approved for Public Release; Distribution Unlimited.
Case Number 20-3101. c 2020 The MITRE Corporation. All rights reserved.</p>
    </sec>
  </body>
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