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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Counter-Argumentation and Discourse: A Case Study</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Stergos Afantenos</string-name>
          <email>stergos.afantenos@irit.fr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nicholas Asher</string-name>
          <email>asher@irit.fr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>IRIT</institution>
          ,
          <addr-line>CNRS</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>IRIT</institution>
          ,
          <addr-line>Univ. Toulouse</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Despite the central role that argumentation plays in human communication, the computational linguistics community has paid relatively little attention in proposing a methodology for automatically identifying arguments and their relations in texts. Argumentation is intimately related with discourse structure, since an argument often spans more than one phrase, forming thus an entity with its own coherent internal structure. Moreover, arguments are linked between them either with a support, an attack or a rebuttal relation. Those argumentation relations are often realized via a discourse relation. Unfortunately, most of the discourse representation theories use trees in order to represent discourse, a format which is incapable of representing phenomena such as long distance attachments and crossed dependencies which are crucial for argumentation. A notable exception is Segmented Discourse Representation Theory (SDRT) (Asher and Lascarides, 2003). In this paper we show how SDRT can help identify arguments and their relations. We use counter-argumentation as our case study following Apothe´loz (1989) and Amgoud and Prade (2012) showing how the identification of the discourse structure can greatly benefit the identification of the argumentation structure.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        in game theoretic terms it is an equilibrium in a
persuasion game in which the addressee adopts an optimal
action based on the conversational history and in which
the arguer adopts her conversational strategy based on
the addressee’s strategy for adopting an action
        <xref ref-type="bibr" rid="ref11">(Glazer
and Rubinstein, 2004)</xref>
        . Yet, despite its importance in
human communication and behavior and despite the
fact that textual realizations of arguments and debates
are numerous on the web, it is surprising that this area
has received very little attention by the Computational
Linguistics community.
      </p>
      <p>
        One domain of research in Computational
Linguistics that is of particular interest for argumentation is
that of discourse. In a typical argumentation process,
which takes the form of a dialogue, every argument
has an internal coherence meaning that it can be
represented by a discourse graph. Moreover arguments are
linked between themselves either with support, attack
or rebuttal relations which are realized once again as
discourse relations linking either the whole discourse
subgraphs representing the arguments or parts of them.
Any attempt to automatically extract the argumentation
structure from a given text cannot afford to ignore
discourse. Our goal in this paper is to show how
argumentation is intimately involved with discourse structure.
We achieve this by using counter-argumentation
(following
        <xref ref-type="bibr" rid="ref13 ref3 ref4 ref7 ref8">(Apothe´loz, 1989; Amgoud and Prade, 2012)</xref>
        )
as a case study.
      </p>
      <p>
        The remainder of this paper is structured as follows.
In section 2 we present the current work in the so-called
argumentation mining, the subfield of computational
linguistics that deals with the automatic extraction of
the argumentation structure from texts. In section 3 we
tell a few words on discourse and in section 4 we show
how SDRT (Segmented Discourse Representatuin
Theory,
        <xref ref-type="bibr" rid="ref5">(Asher and Lascarides, 2003)</xref>
        ) can be applied in a
case study focused on counter-argumentation. In
section 5 we present the future work and we conclude this
paper.
      </p>
    </sec>
    <sec id="sec-2">
      <title>Argumentation in Computational</title>
    </sec>
    <sec id="sec-3">
      <title>Linguistics</title>
      <p>Despite its general neglect, argumentation has been
the focus of some work in Computational Linguistics.
Teufel (1999), Teufel and Moens (2002) aim at
identifying what they call the argumentative zones of
scientific articles. The zones they have used include the aim
of the paper, general scientific background, description
of the authors’ previous work, comparison with other
works, etc. They are using a naive bayes model trying
to classify each sentence into one of the predefined
categories using mostly surface features (position, length,
etc) and whether the sentence contains title words or
words scoring high in terms of tf.idf .</p>
      <p>Palau and Moens (2009) have recently attempted
argumentation mining, or the identification of arguments
in a text. They assume that an argument consists of
a series of premises and a conclusion. Premises and
conclusions are represented by propositions in the text.
Of course, not all propositions in a given text are part
of an argument. In order to tackle the problem of
argumentation mining the authors break it into a series
of subtasks. Initially they are interested in
performing a binary classification of each proposition into
either a proposition participating in an argument or not.
Propositions that are positively classified are then sent
to a second classifier which determines whether it is a
premise or a conclusion. For both classification tasks
they use a maximum entropy model and the Araucaria
corpus1 as well as a corpus extracted from the
european court of human rights. The features they use for
the first classifier include surface features ({1, 2,
3}grams, punctuation, sentence and word length), POS
information (adverbs, verbs and modal auxiliaries) and
syntactic parsing. The second classifier uses again
surface features, POS tags for the subject and main verb,
simple rhetorical and argumentative patterns as well as
the results of the first classifier (although no structured
prediction is attempted which would probably be more
appropriate, given that the two classifiers are not
independent). Of course, once one has identified the
propositions that are premises and conclusions, one does not
yet have the full arguments. In order to get them, the
authors create a simple CFG grammar which tries to
get the tree structure of arguments. The authors do not
attempt to detect the relations (e.g. support, attack,
rebuttal) that connect the arguments between each other.</p>
      <p>
        The Araucaria corpus is used by Feng and Hirst
(2011) as well but their goal is not performing
argumentation mining. Instead they focus on the task
of classifying arguments into argumentation schemes
        <xref ref-type="bibr" rid="ref18">(Walton et al., 2008)</xref>
        . Araucaria arguments contain
enthymemes annotated by human subjects which Feng
and Hirst (2011) remove. Moreover, each argument
is annotated with various argumentation schemes but
the authors keep only the ones that are annotated with
Walton’s schemes. They keep only the 5 more frequent
schemes. In total they have 393 arguments which they
classify into one of five schemes. Concerning the
classification method, they use the C4.5 algorithm
implemented in Weka in order to perform either a
one-vs1http://araucaria.computing.dundee.ac.
uk/
all classification or a pairwise classification. The
features they use are divided into general ones concerning
all schemes (features reflecting textual surface form) or
specific ones for each scheme (mostly cue phrases and
patterns).
      </p>
      <p>Cabrio and Villata (2012a; 2012b) take a different
stance. Their goal is to use Dung’s (1995) abstract
argumentation framework in order to detect a set of
accepted arguments from online debates. They extract
arguments from Debatopedia2 using textual entailment
techniques. More precisely, if a sentence T entails
another sentence H then they consider that there is a
support relation between the two sentences (and thus
points of views) otherwise there is an attack relation.
They use the open source software package EDITS3 in
order to perform textual entailment. In order then to
identify the set of arguments that would be acceptable
by a an external observer the authors use Dung’s (1995)
abstract argumentation framework. In essence an
argument belongs to the aforementioned set if all the
arguments attacking it are rejected. An argument is rejected
if at least one accepted argument attacks it.
3</p>
    </sec>
    <sec id="sec-4">
      <title>Discourse</title>
      <p>The little prior work on argumentation has ignored
discourse structure, and we think this is a mistake. A
complete discourse structure of a dialogue will determine
how each interlocutor’s contribution relates to other
contributions, both her own and that of other dialogue
participants. This structure already by itself is crucial
to determining the structure of an argument—which
attacks are directed towards which other contributions.
Moreover, an argument is not just a sequence of attacks
but a much more complex structure. For one thing,
arguments contain support moves as well; a good
persuasion strategy is to explain why one’s claims are true,
but another is to provide background that will enable
the addressee to understand one’s reasons, and yet
another is to provide more details about the claims
themselves. All of these ”strategies” involve in fact
rhetorical moves that are different and that may be
appropriate in different situations. A discourse structure makes
plain these different types of moves through the use of
different discourse relations.</p>
      <p>In effect, discourse structure has the promise to give
a much more detailed picture of the nature and
structure of argumentation. At the moment, we don’t know
exactly what that picture is. But by pursuing the
analysis of dialogues in terms of argument structure and
discourse structure we can find out.
4</p>
    </sec>
    <sec id="sec-5">
      <title>Counter-Argumentation: A Case</title>
    </sec>
    <sec id="sec-6">
      <title>Study</title>
      <p>To illustrate our point in the previous section, we
illustrate how constructed examples of different sorts of
2http://debatepedia.idebate.org
3http://edits.fbk.eu
arguments given by Apothe´loz (1989) look from a
discourse structure point of view. Apothe´loz (1989)
identified four different modes of arguing against a given
argument. In this work an argument is simply a pair
C(x) : R(y) where R represents the function of reason
and x its content and C the function of conclusion and
x its content. x and y can be either propositions,
conclusions or enthymemes. Given the above, Apothe´loz
(1989) distinguishes between four different modes of
arguing against a given argument C(x):
1. disputing the plausibility or the truth of a reason,
that is the propositions used in y
2. disputing the completeness of the reason
3. disputing the relevance of the reason with respect
to the conclusion, and
4. disputing the argumentative orientation of the
reason by showing the reason presented is rather in
favor of the conclusion’s opposite.</p>
      <p>
        Nonetheless, Apothe´loz (1989) completely ignores the
internal structure that the arguments have. In the
following we analyse the different modes of
counterargumentation that Apothe´loz (1989) provides, giving
examples found in
        <xref ref-type="bibr" rid="ref13 ref3 ref7 ref8">(Amgoud and Prade, 2012)</xref>
        . Our
goal is to show how discourse analysis can help the
field of computational linguistics not only detect
relations between arguments but also analyse the
internal structure of an argument. In the following, we are
using the Segmented Representation Discourse Theory
(SDRT)
        <xref ref-type="bibr" rid="ref5">(Asher and Lascarides, 2003)</xref>
        . For the sake
of representation, discourse is represented as a
hypergraph with discourse relations being the edges of the
graph and Elementary Discourse Units (EDUs) being
nodes containing only one element, while Complex
Discourse Units (CDUs) are nodes containing more
than one simple elements
        <xref ref-type="bibr" rid="ref6">(Asher et al., 2011)</xref>
        .
      </p>
      <sec id="sec-6-1">
        <title>Disputing the plausibility of a reason</title>
        <p>When one disputes the plausibility of a reason
essentially it amounts to proving that the reason is false.
Apothe´loz (1989) provides three different ways of
showing that; we illustrate them with the following
examples.
(1)
(2)</p>
        <sec id="sec-6-1-1">
          <title>Correction</title>
          <p>3
— [Clara will fail her exams.]1 [She did not
work hard]2
— [Clara?!]3 [She worked non-stop.]4
(4)
1
2
— [Clara will fail her exams.]1 [She did not
work hard]2
2 4
In this example, the second speaker neither affirms
neither denies the reason, i.e. the fact that Clara didn’t
work hard. Instead, she is ignoring it (manifested by</p>
        </sec>
        <sec id="sec-6-1-2">
          <title>Expl.</title>
          <p>— [No, she worked hard.]3 [Her eyes have bags
underneath them.]4
(3)
— [Clara works hard]1 [because she is
ambitious.]2
— [It is not out of ambition that Clara works
hard.]3 [She is not ambitious.]4
In all three examples, the second speaker does not
challenge her interlocutor concerning her conclusion
(EDU 1 in all three cases). In fact, in the example (3)
the second speaker explicitly acknowledges the content
of the conclusion (Acknowledgment(1, 3)). Instead
the second speaker’s disagreement is always with the
truth value of the reason behind the conclusion. This
takes the form of a Correction relation between the
first speaker’s EDU representing the reason (EDU 2 in
all cases) and the second speaker’s counter-argument
(EDU 3 for examples (2) and (3) and CDU π1 for
example (1)). For the last two examples the speaker
provides additional reason for her beliefs either by means
of an Elaboration relation or an Explanation∗
relation. This last relation signals an explanation of why b
said that Clara worked hard. It is an explanation of a
speech act and provides epistemic grounds for the
content of the assertion. Note that in all the above
examples the Correction discourse relation amounts to an
attack relation.</p>
        </sec>
      </sec>
      <sec id="sec-6-2">
        <title>Disputing the completeness of a reason</title>
        <p>In the second mode of counter-argumentation that
Apothe´loz (1989) has identified, the second speaker
does not attack the truthfulness of the reason but rather
its completeness. Here are some examples.</p>
        <p>— [Clara will fail her exams.]1 [She did not
work hard]2
— [Clara will not fail her exams.]3 [She is very
smart.]4
1
the fact that no discourse relation exists between EDUs
2 and 3 or 4). Instead she corrects the conclusion of the
first speaker by providing more evidence which lead to
the contrary. Again, the Correction discourse relation
connects two arguments and serves as an attack
argumentative relation.</p>
        <p>— [Paul is in his office ]1 [because his car is in
the carpark.]2
— [But the car is in the carpark]3 [because it
has a mechanical problem and is undriveable.]4
π1</p>
        <sec id="sec-6-2-1">
          <title>Expl.</title>
          <p>In this case both arguments (as before) are
thoroughly supported by an Explanation discourse
relation. Moreover the second speaker even
explicitly agrees with the reason given by the first one
(Acknowledgment(2, 3)) but she disagrees with the
whole argument (note the Correction relation
between the two CDUs) since she judges that the reason
is not enough and provides more evidence (EDU 4) to
back her disagreement up.</p>
          <p>— [This object is red]1 [since it looks red.]2
— [But the object is illuminated by a red
light.]3</p>
        </sec>
        <sec id="sec-6-2-2">
          <title>Counterevidence π1</title>
        </sec>
        <sec id="sec-6-2-3">
          <title>Expl.</title>
          <p>1
2
Contrast
4
3
1
(8)
1
(9)</p>
        </sec>
        <sec id="sec-6-2-4">
          <title>Expl.</title>
          <p>2
3
Ack.
Here the second speaker acknowledges the reason of
the first person, as seen by the discourse relation
between EDUs 2 and 3, but then shows that there is a
contrast between this and her conclusion, disagreeing thus
with the whole argument. It is important to note once
again that in this example, as the preceding ones, the
discourse analysis enables us to clearly pinpoint which
elements of the first argument are accepted and which
are attacked by the second speaker.</p>
          <p>— [Clara will fail her exams.]1 [She did not
work hard]2
— [She will not fail her exams]3 [because she
did not work hard,]4 [but rather because of the
stress.]5
π1</p>
        </sec>
        <sec id="sec-6-2-5">
          <title>Correction</title>
        </sec>
        <sec id="sec-6-2-6">
          <title>Explanation</title>
          <p>2
¬Expl.
4
3</p>
        </sec>
        <sec id="sec-6-2-7">
          <title>Expl.</title>
        </sec>
        <sec id="sec-6-2-8">
          <title>Contrast</title>
          <p>Now, this example is quite more complicated to
analyze. There is a contrast between the object’s looking
red, which generates the expectation that it is red, and
the fact that the object is illuminated by a red light,
which would tend to put that expectation in doubt. But
putting the expectation into doubt also puts into doubt
the causal relation supposed by the first speaker
between 1 and 2.</p>
        </sec>
      </sec>
      <sec id="sec-6-3">
        <title>Disputing the relevance of a reason</title>
        <p>In the third mode of counter-argumentation that
Apothe´loz (1989) has identified concerns the second
speaker does not attack the truthfulness or the
completeness of a reason but instead its relevance.
Below are some examples of this mode of
counterargumentation.
(7)
— [Clara will fail her exams.]1 [She did not
work hard]2
— [Indeed, she did not work hard,]3 [but not
working hard is not a reason to necessarily fail
one’s exams.]4
This is a very interesting example. As the discourse
analysis shows the undirected cycle that is produced
between EDUs 3, 4 and 5 enables the second speaker to
explain why she disagrees with the whole of the initial
statement.</p>
      </sec>
      <sec id="sec-6-4">
        <title>Disputing the argumentative orientation of a reason</title>
        <p>In the final mode of counter-argumentation that
Apothe´loz (1989) has proposed the second speaker
does not dispute neither the reason nor the conclusion.
Instead she argues that the reason corroborates towards
the opposite of the conclusion. This can be illustrated
with the following example.</p>
        <p>1
— [Running a marathon is exhausting.]1 [The
whole body undergoes too much stress.]2
— [That’s precisely what makes it nice!]3</p>
        <sec id="sec-6-4-1">
          <title>Acknowledgment π1</title>
        </sec>
        <sec id="sec-6-4-2">
          <title>Expl.</title>
        </sec>
        <sec id="sec-6-4-3">
          <title>Correction</title>
          <p>2
3
5</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>Discussion and Future Work</title>
      <p>In the previous section we have showed via the use
of a case study how the use of a discourse
representation theory can help us represent in fine detail the
phenomena that take place during argumentation—in
this particular case, counter argumentation during a
dialogue. In order to represent discourse we have chosen
to use the Segmented Discourse Representation Theory
(SDRT) of Asher and Lascarides (2003). This choice
was made after careful consideration of the phenomena
present during argumentation as well as the expressive
power of other discourse representation theories.</p>
      <p>
        Take for example the Rhetorical Structure Theory
(RST, Mann and Thompson (1988)), which is the most
widely cited and used discourse representation theory
currently. In RST, as in SDRT, the basic units are the
same, namely EDUs.4 In RST adjacent EDUs can
be linked together with rhetorical relations in order to
form what in RST’s jargon are called spans. Spans
can be linked with rhetorical relations either with other
adjacent EDUs or adjacent spans. We keep on
emphasizing the word “adjacent” since this constitutes in
our opinion (but see also
        <xref ref-type="bibr" rid="ref15">(Peldszus and Stede, 2013)</xref>
        )
a limitation of RST since it does not allow this
theory to have long distance dependencies, a crucial
phenomenon in argumentation. SDRT does not have this
limitation. Consider example (7). In this simple
example the Correction relation—which, incidentally, is
the backbone of the second speaker’s attack—holds
between non-adjacent EDUs. Even if the first speaker’s
argument was much longer, or if the second speaker
elaborated on the fact that Clara did not work hard (and
thus we had many EDUs intervening between π1 and 4)
it wouldn’t influence the fact that the complex segment
π1 would be attached to EDU 4. Such long distance
attachments are impossible with SDRT which requires
that each EDU or span is attached to an adjacent EDU
or span.
      </p>
      <p>
        The second problem that RST has as far as the
representation of argumentative structures is concerned, is
that it cannot correctly represent rebuttals. This is
problem that is also reported by Peldszus and Stede (2013)
so we are using their example, slightly modified in
order to illustrate this point. Consider the following
dialogue:
(10)
— [We should tear the building down.]1 [It is
full of asbestos.]2
— [It is possible to clean it up.]3
— [But that would be forbiddingly
expensive!]4
The argumentation graph that results from this
dialogue, according to the scheme proposed in
        <xref ref-type="bibr" rid="ref15">(Peldszus
and Stede, 2013)</xref>
        is the following:
      </p>
      <p>4There is a big difference as far as EDUs are concerned
between the two theories. In SDRT EDUs can be embedded
the one within the other whilst RST does not allow it.
1
2
3
where edges with arrows denote support relations and
edges with circles denote undercuts. The RST graph
for the above dialogue is the following:</p>
      <p>EVIDENCE
✠
EVIDENCE
✠
1</p>
      <p>ANTITHESIS</p>
      <p>❘
2 3 4</p>
      <p>As we can see, the structural properties of those two
graphs are completely different and the use of RST for
argumentative analysis does not seem to be a
promising path to follow. On the other hand, SDRT neatly
follows the argumentation graph (we have used the box
representation of SDRT here) making it thus more
appropriate for use in argumentative analysis.</p>
      <sec id="sec-7-1">
        <title>Expl.</title>
      </sec>
      <sec id="sec-7-2">
        <title>Correction Correction</title>
        <p>At this point we would like to say a few words on
the computational extraction of discourse structures.
Most of the published work currently is using the RST
framework. This is due to two facts. Firstly there are
more annotated data available for RST and secondly
the problem is computationally less demanding since
decisions are always made locally (attachments can be
either left or right of a given span) which renders this
framework more simple and thus more attractive to
researchers. Of course, this implies that all long distance
attachements are completely lost, an aspect which is
crucial, as we have seen, for argumentation.</p>
        <p>
          Muller et al. (2012) have recently attempted
extraction of SDRT structures using data from the ANNODIS
corpus
          <xref ref-type="bibr" rid="ref13 ref2">(Afantenos et al., 2012)</xref>
          , annotated with SDRT
structures, with state of the art results. The authors
attack the problem of predicting SDRT discourse
structures by making some simplifications to the objects that
they need to predict, namely they eliminate CDUs by
making the assumption that, semantically speaking,
attachment to a CDU amounts to attaching to its head—
that is the uppermost and leftmost EDU. They have thus
structures reminiscent of dependency graphs in
syntactic analysis.
        </p>
        <p>The authors perform structured prediction on the
dependency graphs they produced which can be broken
down into two steps. Initially they learn local
probability distributions for attaching and labeling EDUs,
based on naive bayes and logistic regression models.
They effectively thus create a complete graph where
each node represents an EDU and each arc a
probability of attachment. The authors then move on to the
decoding phase where the goal is to extract the graph that
approaches the reference object. They use two
decoding approaches based on A∗ and Maximum Spanning
Tree (MST) algorithms.</p>
        <p>
          Closing this paper we would like to state that one of
the main reasons that extraction of argumentative
structures has not been more widely explored by the
computational linguistics community is due to the fact that
few annotated corpora exist. We believe that a project
with the goal of jointly annotating argumentative and
discourse structures is crucial for the advancement of
this field, as well as other fields such as automatic
summarization
          <xref ref-type="bibr" rid="ref1">(Afantenos et al., 2008)</xref>
          , question
answering, etc.
        </p>
      </sec>
    </sec>
  </body>
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