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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A Model of Interpretation of Embedded Stories</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Pablo Gerva´s</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Instituto de Tecnolog ́ıa del Conocimiento - Facultad de Inform ́atica, Universidad Complutense de Madrid Ciudad Universitaria</institution>
          ,
          <addr-line>28040 Madrid</addr-line>
          ,
          <country country="ES">Spain</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2017</year>
      </pub-date>
      <abstract>
        <p>Stories told by a character within a story are known as embedded stories. They occur frequently in narrative and they constitute an important challenge to models of narrative interpretation. Computational procedures for interpreting a story need to account for these embedded stories in terms of how to represent them and how to process them in the context of the story acting as frame for them. The present paper proposes a simplified computational model capable of representing discourses for embedded stories and interpret them onto a representation that captures their recursive structure. Then it tests this model over examples of stories from di↵erent domains and draws some conclusions on what embedding implies in terms of interpretation of narrative.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>by the paper’s authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).</p>
    </sec>
    <sec id="sec-2">
      <title>Previous Work</title>
      <p>The concept of “embedding” in narrative is defined [HJR10] as: “literary device of the ‘story within the story’, the
structure by which a character in a narrative text becomes the narrator of a second narrative text framed by the
first one”. A fundamental concept for understanding narrative is the concept of a narrative level, as introduced
by Genette [GLC83]. Genette’s model for the analysis of narrative levels is centred around the concept of diegesis,
an act of telling. When a story is told, the narrator and their audience stand at the extradiegetic level with
respect to the story – outside the story being told. If a character within the story tells a second story, this creates
a second narrative level, considered intradiegetic – inside the telling – with respect to the enclosing main story.
The same situation can be replicated if further stories are told within the second story. So each level of telling is
considered a narrative level or diegetic level, characterising the way in which the narrating act and the narratee
are situated in relation to the narrated story [Pie14].</p>
      <p>Another important concept introduced by Genette is narrative distance, which represents how close the
narrator is to the story he is telling, in terms of how he represents it in his discourse. Four types of discourse are
considered, presented here by diminishing distance: from a narratised version – in which a character’s words and
actions are narrated like any other event – to reported speech – in which the character’s words are cited literally
by the narrator – with two intermediate stages of transposed speech – in which the words and actions of the
character are reported indirectly.</p>
      <p>In terms of computational modeling, embedded stories have received scarce attention. The relation between
an embedded story and the discourse it appears in is not included among the relations in the original Rhethorical
Structure Theory [MT88] nor in later revisions [TM06]. Even narrative specific solutions such as Storytelling
RST [NI06] focus on modeling the relations internal to a given story to the detriment of relations between a story
and the context in which it is told. Neither Discourse Representation Theory [KR93] nor Segmented Discourse
Representation Theory [LA07] include embedded stories either among the set of features of discourse that they
model. Levison et al [LLTD13] describe means for representing the text for a story as topoi – understood as
schemas for a story – in terms of the semantic representation of natural language, but they never consider how such
elements might operate as arguments of further functions representing a discourse – which would correspond to
having them appear as embedded stories. The closest I have found to a computational representation of embedded
stories is the EpisTeller system [Ger16], which describes an elementary computational model of a society of agents
driven by a need for information, where the ability to represent and communicate reality as a sequential stream of
symbols is explored as a model of social cognition. In this model, cognitive agents construct sequential discourses
that encode a fragment of their personal experience, and other agents interpret such discourses to enrich their
own stored knowledge about the world around them. Such a model might explicitly represent embedded stories
whenever an agent tells about an experience where some other agent provided it with a story. But this situation
is never addressed explicitly in the paper.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Modelling Embedded Story Interpretation</title>
      <p>From a computational point of view, there are several challenges involved in addressing the handling of stories
with more than one narrative level:</p>
      <sec id="sec-3-1">
        <title>1. To identify from the discourse of a story when an embedded story is present.</title>
        <p>2. To have a representation of the story that allows for explicit distinction of di↵erent narrative levels (a simple
story is represented at a single narrative level, a multi-level narrative explicitly represents each level as a
distinct element).
3. To provide means for handling transitions from one narrative level to another during interpretation.</p>
        <p>The present paper proposes a first approximation to the problem by defining a simple language for describing
stories and an interpretation procedure for instances of stories so described such that:</p>
        <p>Stories are represented in a simple notation based on predicate-argument structure (challenge 0).
The language includes notational devices to mark the start and end of embedded stories (challenge 1).
Data structures are proposed to represent more than one narrative level (challenge 2).</p>
        <p>An interpretation procedure for the handling of embedding is defined relying on these definitions (challenge
3).
3.1</p>
        <sec id="sec-3-1-1">
          <title>Identifying Embedded Stories from Text</title>
          <p>Embedded stories are sometimes very clearly flagged and delimited in the text of the encompassing narratives.
The Thousand and One Nights [BBB04], a classic case of Frame Story, is a single framing story – that of Sharazad
and King Shahryar – full of insertions of shorter stories. In this example, each tale is clearly indicated by an
element in the discourse of the main story: either an indicative dialogue between the narrating character and
the characters acting as audience1 or explicit indication that a story is starting.2. Each individual tale is also
marked typographically with a header in large font that indicates the title of the tale. This example also shows
how the nesting can involve more than two levels: the first tale that Sharazad tells, The Tale of the Merchant
and the Ifrit, itself includes three inserts – The Tale of the First Sheikh, The Tale of the Second Sheikh and The
Tale of the Third Sheikh.</p>
          <p>In other cases, the transition from the framing story to the embedded story is not marked so explicitly. The
Heart of Darkness [Con90], another case of Frame Story, is a novel describing a trip up an African river, but the
whole description of the trip is framed by scenes of Marlow, the protagonist of the actual story, narrating the
experience to two other sea captains while waiting for the tide at anchor in the Thames. Here the indications
in the discourse of the framing story are much more subtle, requiring the reader to infer from the context that
a story is to be told3. The next statement by Marlow is indeed the start of the story, but the only indication of
its nature is the fact that it is also in quotes, as Marlow’s previous contribution to the dialogue of the framing
scene. The rest needs to be inferred from the previous indications provided. The embedded story follows from
there for most of the novel. When the embedded story finishes, a final paragraph retakes the framing story. 4</p>
          <p>These brief examples show that the challenge of identifying from a text when embedded stories start and end
involves complex issues of semantic and pragmatic interpretation that are beyond the scope of the present paper.
The paper will therefore focus on the remaining three challenges.
3.2</p>
        </sec>
        <sec id="sec-3-1-2">
          <title>Basic Representation of Discourse for Stories</title>
          <p>We consider a representation of the discourse for a story as a list of statements – each a predicate with arguments
– describing the sequence of events or facts for the story. Within such a representation of discourse, an embedded
story will be represented as a combination of the following elements:
a statement to act as start of story marker (with a name for the story to act as its unique id) (start story
&lt;story-name&gt;)
a sequence of statements for that story (just like those for the frame story)
a statement to convey the telling of the embedded story within the frame story (tell story &lt;narrator&gt;
&lt;narratee&gt; &lt;story-name&gt;) which also acts as as end of story marker</p>
          <p>This notation allows the explicit representation of the content of embedded stories within the sequence of
the discourse for the story. An example of the discourse sequence used as input for the interpretation of a
story rendered is presented in the left hand column of Table 1. This solution for encoding the input discourse
may sometimes result in a reiteration of events already told as part of the frame story, but it also allows for
representing situations in which the embedded story di↵ers from that told in the frame story, or to include
di↵erent stories. 5
3.3</p>
        </sec>
        <sec id="sec-3-1-3">
          <title>Representation of the Interpretation of a Multi-Level Story</title>
          <p>The interpretation of a story with a single narrative level is represented as sequence of statements that describe
events that follow a chronological order (corresponding to those given in the single narrative level in the discourse
1“So he said to her: ’Take care that the fate of the ass with the bull and the husbandman befall not you also. Listen’:” [The
Fable of the Ass, the Bull and the Husbandman], “The Jinni answered: ’Assuredly, O venerable sheikh. If you tell me the story
and I find it indeed extraordinary, I will grant you mercy for a third of this blood!’ ” [The Tale of the First Sheikh]
2“And Shahrazad, this first night, began the following tale:” [The Tale of the Merchant and the Ifrit], “So the second sheikh
began:” [The Tale of the Second Sheikh]</p>
          <p>3“But Marlow was not typical (if his propensity to spin yarns be excepted) . . . ”, “but it was only after a long silence, when he
said, in a hesitating voice, “I suppose you fellows remember I did once turn fresh-water sailor for a bit,” that we knew we were
fated, before the ebb began to run, to hear about one of Marlow’s inconclusive experiences.”
4“Marlow ceased, and sat apart, indistinct and silent, in the pose of a meditating Buddha. Nobody moved for a time. . . . ”
5Discourse and interpretation are shown alligned for clarity, but no gap appears in the actual representation of the discourse
when used as input.</p>
          <p>.
.
.
start story princess’ torment
kidnap dragon princess2
torment at night dragon princess
tell story X brother2 princess’ torment
decides to react brother2
.
.</p>
          <p>.
of the story). The interpretation of a story with a single level does not di↵er from the representation of the input
discourse.</p>
          <p>The representation of the interpretation of a story that includes more than one narrative level needs to
account for the possibility of having several levels of stories, and for complex relations of nesting between them.
We therefore define a narrative interpretation as a complex structure that holds:
a representation for the initial level of narrative (as a sequence of statements)
representations of any additional embedded narrative levels (each one a narrative interpretation itself, to
allow for recursive nesting, and indexed with the name of the story)</p>
          <p>For ease of understanding a story represented in this way is visualised as shown in Table 1. Each narrative
level is represented in its own column, with embedded stories appearing to one column to the right of the
corresponding frame story. When the embedded story ends, the representation of the sequence returns to the
column on the left where the frame story is being developed. The structure may be recursive, if embedded stories
are nested.
3.4</p>
        </sec>
        <sec id="sec-3-1-4">
          <title>Interpretation Procedure</title>
          <p>The solution proposed in this paper models the interpretation of embedded stories as a stack-based mechanism
for handling the changing contexts of interpretation:</p>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>The process starts with an empty stack for the initial narrative level.</title>
      </sec>
      <sec id="sec-3-3">
        <title>On detecting the start of an embedded story (start story &lt;story-name&gt;): – the interpretation of the frame story to that point is pushed to the stack, and – a new empty interpretation is created for the embedded story. The discourse for the embedded story is processed against this specific representation for its interpretation.</title>
        <p>When end of the embedded story is reached (tell story statement &lt;narrator&gt; &lt;narratee&gt;
&lt;story-name&gt;):
– the accumulated interpretation for the embedded story is stored in a table for embedded sub-stories,
indexed by the name of the sub-story (&lt;story-name&gt;), and
– the interpretation for the frame story acting as context is popped from the stack and established as
context for the rest of the frame story
– add the tell story statement &lt;narrator&gt; &lt;narratee&gt; &lt;story-name&gt; statement to the
interpretation of the frame story, indicating how the embedded story fits into the frame story</p>
        <p>The operation of the model can be described over the example shown in Table 1. Tale 155 analysed by
Propp involves two brothers departing from home and separating at a road marker. One brother goes on to
a foreign land, where he marries a princess and obtains magical water of life. The discourse shown in Table 1
represents the next item in the overall tale, where someone tells the second brother about a second princess being
kidnapped by a dragon. This constitutes an instance of an embedded story. The representation of the input
presents the story of the kidnapping first, and then a statement to the e↵ect that this story is told to the second
brother. On identifying the start story marker, the system places the interpretation of the story of the two
brothers to that point in the stack, and creates a new empty interpretation for the story of the second princess.
It then parses the two statements that describe this story (second princess is kidnapped by a dragon and then
tormented nightly) and adds then to the interpretation of the embedded story. On identifying the tell story
marker, the system stores the interpretation of the story of the kidnapping of the second princess, retrieves the
unfinished interpretation of the story of the two brothers and sets it as context for subsequent interpretation,
adds the statement of the story being told to that interpretation, and proceeds to parse the next statement in
the discourse (in this case, a decision by the second brother to attempt a rescue of the second princess). This
illustrates the operation of the model for an embedded story.</p>
        <p>Instances of tell story statement &lt;narrator&gt; &lt;narratee&gt; &lt;story-name&gt; statements may re-occur
elsewhere in the story once an interpretation for the &lt;story-name&gt; has been added to the representation. This allows
the representation of cases where the same sub-story is told more than once – possibly by di↵erent narrators
or to di↵erent audiences – in the context of the frame story. Examples of this may be observed in the example
presented in Table 3 below.</p>
        <p>The use of a stack is required in order to address the recursive nature of embedded stories. An embedded
story occurs in the context of a framing story. When the embedded story is parsed, the context of the framing
story is no longer relevant – because the embedded story establishes its own context of interpretation – but the
context of the framing story needs to be recovered when the embedded story has been parsed and the parse of
the framing story is to continue. For multi-level embeddings – as in the example cited above for the Arabian
Nights – the LIFO retrieval strategy guarantees the correct context for the continuation parse in each case.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Examples</title>
      <p>The proposed representation of embedded stories is tested over examples of narrative from two di↵erent domains:
representations of Russian folk tales and representations of the plot of a 18th century opera.
4.1</p>
      <sec id="sec-4-1">
        <title>Russian Folk Tales</title>
        <p>Vladimir Propp [Pro28] studied a subset of the corpus of Russian folk tales and proposed a formal description
of certain regularities he identified in their structure. The descriptions used for the examples below rely on the
summaries of the plots of the tales given in Appendices II and III of Propp’s book. Two elements in Propp’s
account address the phenomenon of embedded stories: the connective incident and the false hero sequence.</p>
        <p>The connective incident acts as a connection between the villainy triggering the story and the hero, usually
taking the form of some character telling the hero the story of the villainy – as in the example shown in Table 1
above.</p>
        <p>The false hero sequence involves another character character attempting to steal the hero’s laurels – by telling
a false story – only to be exposed before the end – often by someone else telling the true story. An instance of
this type is shown in Table 2.</p>
        <p>This corresponds to a later incident in the story of the two brothers described previously, taking place at
the court of the tsar, father to the second princess. The second brother has achieved his purpose of rescuing
the second princess, getting wounded in the process. However, a water carrier sent by the tsar to recover the
princess’ bones returns with her and claims to have defeated the dragon. This involves him telling a false story
of his confrontation with the dragon, which constitutes an instance of an embedded story. Having parsed this
false story, and stored it in the table for embedded story, the system returns to parse the arrival at the court
of the second brother. When the princess recognises him as her saviour, the real story becomes known. This is
represented in the input discourse as an embedded story. In more elaborate renderings of the story, the same
result may arise as a result of inference, but the correct interpretation of the situation requires that the real story
become known as a correct replacement of the false story told previously. This presents a significant challenge
for solutions attempting to arrive at the interpretation from direct analysis of the text, because the real story
is unlikely to appear explicitly again at this point of the discourse. The problem in this case becomes one of
identifying a reference to a story already told – possibly as a subset of the whole story being told. Such situations
will be considered in future versions of the model.</p>
        <p>It is interesting to note that the two examples described involve stories being told with di↵erent purposes. In
the case of the tale of the kidnapping of the princess – an instance of Propp’s connective incident – the story
may be told in support for a request for help, and it is understood in the context of the tale as the justification
for the hero to act. In the case of the two alternative versions of the rescue – instances of elements from Propp’s
false hero sequence – the story told by the false hero is deceitful and told to create a false impression of a given
character, and the story told to expose him is intended to reveal the truth and to support a required judgment.
A very di↵erent set of narratives that has been the target of specific formalisation e↵orts is the set of 18th century
operas based on librettos by Metastasio, which is the focus of the Didone project.6 In this case the narratives
in question are much longer in nature, and they have a more complex structure. Although the analysis of the
plots is ongoing work, the results to this point show that there is a very high incidence of embedded stories.
To illustrate this point, Table 3 shows the encoding of the interpretation of the initial fragment of the plot of
the opera Artaserse (Rome, 1730)7 by Metastasio – covering most of the first act –, according to the formalism
presented above.</p>
        <p>It is interesting to see that embedded stories are used systematically by Metastasio to keep all scenes of
violence o↵ the stage. The seven embedded stories covered in the analysed fragment all correspond to murders,
while no murders appear elsewhere in the corresponding frame story. Another important point is that these
embedded stories basically drive the plot of the story – which does include a number of subplots in terms of
romantic relationships between various characters but essentially turns around who killed king Serse, and who
else gets killed in the aftermath.</p>
        <p>In terms of the goals of the characters telling the seven embedded stories, two of are eyewitness reports of
things that happened (murder Serse Artabano and execute Dario Artabano), one is the outlining of a plan
(plan Artabano), one is a deceitful story which gets propagated (murder Serse Dario) and two are hypotheses
on who the murderer was (murder Serse other and murder Serse Arbace).</p>
        <p>Another point worth noting is that the deceitful story (murder Serse Dario) is told more than once. As in
the case of the real story of the rescue of the princess in the previous example, this would in more elaborate
systems involve a task of identifying a reference to a story already known.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Discussion</title>
      <p>From the examples described above it seems that the interpretation of stories embedded in larger narratives
needs to consider: what is the actual content of the embedded story – which operates much as the interpretation
of a simple story –, how the embedded story meshes with the frame story – who tells the story to whom –, and
6https://didone.eu/
7http://www.progettometastasio.it/testi/ARTASERS—P1
what is the goal pursued by the telling of the embedded story – which establishes the actual narrative impact of
the embedded story upon the frame story. The possible implications of the proposed solutions on the impact of
information across interpreted narrative levels may be discussed in future work.</p>
      <p>The proposed model of embedded stories is limited in several ways. First, in that it assumes that embedded
stories are always told as a single span of discourse, so it fails to account for cases in which the embedded
narrative is split into several spans interleaved with the frame story. That seems to be the case for the story in
The Heart of Darkness mentioned above. A refinement of the model covering these situations will be considered
in further work. Second, in that it assumes that stories – whether framing or embedded – are told in chronological
order, which may fail to cover cases of anachrony – such as the film Dunkirk.8 The handling of anachrony is
an important problem for the interpretation of narrative but lies beyond the scope of this paper, being also a
problem for stories without embedding. If a solution for anachrony is available, the interaction with embedded
stories may be pursued in further work.</p>
      <p>The examples shown may lead to confusion, as the embedded stories tend to refer to portions of the discourse
of the framing story. This is not necessarily the general case – the examples mentioned for the Arabian Nights
correspond to embedded stories with no connection to the frame story – but it raises a number of interesting
questions concerning the interaction across narrative levels. These questions need to be addressed in further
work.</p>
      <p>As the encoding of the examples employed is based on synopses of the respective plots rather than on their
full text, issues such as narrative distance [GLC83] – namely whether the embedded story is rendered as reported
or transcribed speech, as a summary, or even left implicit – are obscured in the present approach. Such issues
would need to be considered.
6</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusions</title>
      <p>The interpretation of embedded stories is an open problem that needs substantial amounts of further work. The
proposed model provides an elementary computational frame that captures the nested structure of narrative
levels involved in embedded stories, fitted with a stack mechanism that adequately models the required changes
in context. The storage of individual stories identified as embedded in a framing stories is handled by an indexed
table, which allows these stories to be referred in simple tell story statements within the discourse of the
corresponding framing story.</p>
      <p>The concept of a story within a story is slightly more extended than the concept of story told by a character
within a story. Stories important to a framing story often appear in the framing discourse as references to the
sub-story, requiring inference to identify the sub-story in question. Although the interpretation of both of them
is similar in terms of content, the actual form in which they appear in text may di↵er significantly.</p>
      <p>The model is intended as a first approximation to the problem. Extensions operating on textual discourse
and more elaborate representations of content will be undertaken as future work. This will require not only a
mechanism to bridge from the sentences in the text to statements like the ones used in the conceptual description,
but also a solution for inferring when the transitions between narrative levels happen. In most texts these
transitions are only indicated by pragmatic cues.</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgements</title>
      <p>This paper has been partially supported by the CANTOR project (PID2019-108927RB-I00) funded by the
Spanish Ministry of Science and Innovation and the the Didone Project funded by the European Research
Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, Grant agreement
No. 788986.
[BBB04]
[Con90]</p>
      <p>J. Conrad. Heart of Darkness. Classics on cassette with book. Dover Publications, 1990.
[GLC83]
[KR93]
[LA07]
[MT88]
[NI06]
[Pie14]
[Pro28]
[TM06]</p>
      <p>Pablo Gerv´as. An exploratory model of remembering, telling and understanding experience in simple
agents. In Proceedings of Computational Creativity, Concept Invention, and General Intelligence
Workshop (C3GI 2016), Bolzano, Italy, 2016.</p>
      <p>G. Genette, J.E. Lewin, and J. Culler. Narrative Discourse: An Essay in Method. Cornell paperbacks.
Cornell University Press, 1983.</p>
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