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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Identifying the Multiple Contexts of a Situation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Aviv Segev</string-name>
          <email>asegev@technion.ac.il</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Formal Definition of Context</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Technion - Israel Institute of Technology Haifa 32000</institution>
          <country country="IL">Israel</country>
        </aff>
      </contrib-group>
      <fpage>51</fpage>
      <lpage>62</lpage>
      <abstract>
        <p>The paper presents a contexts recognition algorithm that uses the Internet as a knowledge base to extract the multiple contexts of a given situation, based on the streaming in text format of information representing the situation. Context is represented here as any descriptor most commonly selected by a set of subjects to describe a given situation. Multiple contexts are matched with the situation. The algorithm yields consistently good results and the comparison of the algorithm results with the results of people showed that there was no significant difference in the determination of context.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        The question of context recognition is defined as one of the main questions
addressed by the international interdisciplinary context community [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. A context
is a descriptor (such as a word or an image) or a set of descriptors that defines
a situation. A context can convey a different facet, a different point of view, or
a different understanding of a situation. Therefore, many situations are
characterized by several different contexts. This paper presents an algorithm of context
recognition that analyzes a given situation, represented in text format, and
identifies its multiple contexts, textual descriptors. The performance of the algorithm
was compared to the human process of multiple contexts recognition and yielded
consistently good results.
      </p>
      <p>
        Section 2 reviews related works in the literature. Section 3 presents a formal
definition of contexts recognition and divides the problem into two sub-problems.
Section 4 describes the contexts recognition algorithm, which consists of five
main processes: the collection of data, the selection of contexts for each text, the
ranking of the contexts, the identification of the current contexts, and the union of
synonymous contexts, and describes the use of the Internet as a context database.
Section 5 presents the analysis of the algorithm. Finally, section 6 presents some
conclusions and directions of future research.
2.1
world state”, a situation that is a snapshot or an instance of the world at some
given time, namely, all attributes of the world, including all objects, their
properties and internal states, and the relationships between them [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        McCarthy [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] defined the formalization of the notion of context as one of the
main problems in the field of artificial intelligence (AI) and argued that a most
general context does not exist. Consequently, McCarthy [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] worked to formalize
context and to develop a theory of introducing context as formal objects.
Since a situation is characterized by many different features, it may have multiple
contexts. McCarthy’s formal definition of context is used in this work to identify
the multiple contexts of a situation.
2.2
      </p>
      <sec id="sec-1-1">
        <title>Blackboard Model</title>
        <p>
          The model architecture for the contexts recognition is based on the blackboard
model [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]. The blackboard model has been used in many AI applications, e.g.,
understanding images, signals, and speech, to represent possible solutions to a
given problem. Blackboard is used here to enhance information extraction from
more than one information source. For example, different information sources
can be multiple people having multiple conversations at the same place and time,
as in the case of Internet chats.
2.3
        </p>
      </sec>
      <sec id="sec-1-2">
        <title>Information Seeking</title>
        <p>
          Information seeking is the process in which people turn to information resources
to increase their level of knowledge regarding their goals [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]. Although the
basic concept of information seeking remains unchanged, the growing need for the
automation of the process has called for innovative tools to assign some of the
tasks involved in information seeking to the machine level. Thus, techniques for
information seeking based on textual information are used, including the
ontology tools Text-To-Onto [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ], OntoMiner [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ], and TexaMiner [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ], to name a few,
and databases are extensively used for the efficient storage and retrieval of
information.
        </p>
        <p>
          The Internet can be seen as a large database that is constantly being modified and
updated. Many information seeking techniques have been developed to retrieve
information from the Internet. For example, Valdes-Perez and Pereira [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ]
developed an algorithm based on the concise all pairs profiling (CAPP) clustering
method. This method approximates profiling of large classifications. Use of
hierarchical structure was explored for classifying a large, heterogeneous collection
of web content [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ]. Another method involves checking the frequency of the
possible keyphrases of articles using the Internet [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ]. However, this method is based
on an existing set of keywords and uses the Internet for ranking purposes only.
The present algorithm attempts to automate context recognition, based on
information seeking techniques, using the Internet as a database for possible multiple
contexts. The algorithm differs from previous text analysis techniques by
allowing the input to be received from multiple sources, in an unstructured format. In
addition, the algorithm utilizes data resources that are independent of the user and
are constantly changing to analyze the information.
        </p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>Formal Definition of the Problem</title>
      <p>
        McCarthy [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] formalized context as first class objects with the following basic
relation:
ist(C, P) meaning that the proposition P is true in the context C.
      </p>
      <p>In this paper context is defined as any textual description that is most commonly
selected by a set of subjects to describe a given situation:
Let P1, P2, ..., Pm be a series of textual propositions defining situation S.
Contexts C1, C2, ..., Ck are defined as the contexts of situation S if:
∃n subjects, n 1 so for the majority of n selected
ist(Ci, Pj ) ∀ i, for a given j
(Contexts C1, C2, ..., Ck are true for textual proposition Pj )
For a series of propositions there exists a collection of sets of contexts.
Let P1, P2, ..., Pm be a series of textual propositions when ∀ Pi there exists a
collection of sets of contexts Cij so that:
∀ i, ist(Cij , Pi) ∀ j meaning that the textual proposition Pi is true in each of the
set of contexts Cij . Cij are not predefined hierarchically in a structure such as a
tree. However, hierarchical structures can be built according to a specific set of
textual propositions.</p>
      <p>The main research problem is formally defined as:
What is the outer context C defined by
ist(C, im=1 ist(Cij , Pi)) ∀j.</p>
      <p>The number of existing contexts is assumed to be finite and to satisfy
C, Cij Uc (unity of all existing contexts)
The main research problem can be divided into two sub-problems:
1. Let P be a given single text. What are the possible contexts Ci that satisfy
ist(Ci, P) ∀ i (for single text P all contexts Ci are true)
2. Let P1, P2, ..., Pm be a set of texts that satisfy the following condition: for
each text Pi there exists a set of contexts Cij so that ist(Cij , Pi) ∀ j.</p>
      <p>What is the outer context C so that ist(C, im=1 ist(Cij , Pi)) ∀j.</p>
      <p>The division of the problem into two parts allows a solution of the first part to
be acquired by information seeking through the Internet. The second part is
addressed using an algorithm that ranks the contexts according to the importance of
the information retrieved in the first part. The result of the following algorithm is
a list of contexts, which forms the outer context of the situation.
4</p>
    </sec>
    <sec id="sec-3">
      <title>The Contexts Recognition Algorithm</title>
      <p>The research algorithm is based on the streaming in text format of information
that represents input from different sources, such as Internet chats. The contexts
recognition algorithm output is a set of contexts that attempt to describe the
current situation most accurately. The set of contexts is a list of words or phrases,
each describing an aspect of the situation. Thus, multiple contexts can be matched
to a given situation. The algorithm, which is outlined in Figure 1, consists of five
major processes:
– Collecting Data - The information from the information sources is
decomposed into words and the keywords are extracted from them.
– Selecting Contexts for Each Text (Descriptors) - For each keyword a set of
preliminary contexts is extracted from the Internet, which is used as a context
database.
– Ranking the Contexts - Each preliminary context is ranked according to the
number of references it receives in the context database and the number of
appearances it has in the text.
– Identifying the Current Contexts - The preliminary contexts that have
significantly higher numbers of references and higher numbers of appearances are
included in the current set of contexts.
– Uniting Synonymous Contexts - The current contexts are examined for
synonyms and synonymous contexts are united.
4.1</p>
      <sec id="sec-3-1">
        <title>Collecting Data</title>
        <p>Each text is decomposed into single words, when words are letter strings
separated by spaces, and all punctuation is removed from the text. Then the words are
checked according to a set of dictionaries. The first dictionary is a ”Stop List”,
consisting of words that do not add to the understanding of the context, such as I,
me, in, are, the. All words that appear in this dictionary are ignored. The next step
uses a set of dictionaries according to fields of knowledge to sieve the words that
are not related to the specific field of knowledge. If the word appears in the field
of knowledge dictionary, then it is added to the list of keywords that are searched
in the context database, otherwise it is ignored. This process continues for each
word in the text. After each text passes through this module, the algorithm sends
a list of words to be checked for a possible set of contexts. Checking against a
dictionary can be skipped if the field of knowledge is unknown, but skipping this
step may sometimes lead to less accurate results. The difficulty does not lie in
finding the possible keywords since the algorithm can always use the whole input
corpus.
4.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Selecting Contexts for Each Text (Descriptors)</title>
        <p>The selection of the current context is based on a search through the database for
all relevant documents according to keywords and on the clustering of the results
into possible contexts. Once a list of keywords exists, each keyword is searched
in the context database - the Internet - and a set of contexts is extracted. This
creates a list of preliminary contexts for each keyword. The contexts in this work
were represented by words or sets of words, which can be viewed as meta data
created for each set of Internet web pages. Other descriptors can include images
appearing on the Internet. The Internet can then be seen as a vast set of descriptors
that represent different possible contexts, each associated with its respective web
page. The full list of preliminary contexts for all the keywords includes all the
possible contexts for this current text.</p>
        <p>
          Any search engine can be used and any Term Frequency / Inverse Document
Frequency [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ] method for clustering can be implemented. The current application
of the algorithm uses the concise all pairs profiling (CAPP) clustering method.
[
          <xref ref-type="bibr" rid="ref13">13</xref>
          ], as it is applied in the Vivisimo search engine.
        </p>
        <p>Using the Internet as a context database instead of a precalculated frequencies
base has several advantages. The use of the Internet does not require the constant
updating and maintenance of a database. The precalculated frequencies base
requires the user to work in a limited predefined knowledge domain. The Internet
can serve as an unlimited knowledge domain that is being continuously updated.
This step results in a long list of preliminary contexts, many of which are
irrelevant to the context. The purpose of the following steps is to minimize the list and
identify most relevant contexts to the situation.
4.3</p>
      </sec>
      <sec id="sec-3-3">
        <title>Ranking the Contexts</title>
        <p>New preliminary contexts can now be created according to textual sub-strings of
existing preliminary contexts. This step sums the number of documents referring
to the preliminary contexts. Multiple reference pages from similar web sources
are counted as one instance. Each document usually refers to multiple contexts,
consequently creating a long list of preliminary contexts. The last step involves
ranking the set of preliminary contexts according to both the number of references
from the documents and the number of appearances in the text. This step maps all
the preliminary contexts to a two dimensional graph, allowing the contexts that
receive very high ranking in both characterizations to be located, as in Figure 2.
After each session of ranking, the list is used for two purposes - resetting the
set of preliminary contexts and identifying the current context. The current list
of contexts joins the new preliminary contexts arriving from the continuously
streaming text. The lists are united and the ranking process is repeated. In parallel
to the repetition of the ranking algorithm, the set of ranked preliminary contexts
is forwarded to the next module to determine the current contexts.
4.4</p>
      </sec>
      <sec id="sec-3-4">
        <title>Identifying the Current Contexts</title>
        <p>The output of the ranking stage is the current context or a set of highest ranking
contexts that differ essentially by rank. The algorithm then returns to the first step
to collect more texts and feed them again to the database. The set of preliminary
contexts that has the top number of references, both in number of Internet pages
and in number of appearances in all of the texts, is defined as the highest ranking
and is identified to be the current contexts.</p>
        <p>The current contexts received from the previous stage can be depicted on a graph
according to number of appearances and number of references as in Figure 2.
The algorithm for detecting the current contexts includes the following steps:
1. Organize the list of preliminary contexts in descending order according to
number of references appearing in the Internet - the Set of Documents.
2. Find the difference between each value of the number of references and
its nearest lower value neighbor, defined as Current References Difference
Value (CRDV).
3. Find the difference between each value of the number of appearances and
its nearest lower value neighbor, defined as Current Appearance Difference
Value (CADV).
4. Weight the number of appearances in the text and the number of references
in the Internet according to the following formula:
MVR = Maximum Value of References
MVA = Maximum Value of Appearances
WeightedValue =
( 2∗CADV ∗MV R )2 + (CRDV )2
3∗MV A
The Weighted Value can be viewed as the weighted distance to the origin.
However, the index of number of references is on a much larger scale than
the index of the number of appearances and therefore it is not possible to
retain the original proportions and it is necessary to re-scale the indices. The
value is calculated multiplying by the maximum number of references and
dividing by the number of maximum number of appearances. A constant of
2/3 was found by experiment to be appropriate for the re-adjustment of the
figures.
5. Find the maximum value of the Weighted Value. If the maximum Weighted
Value is the first value, then continue to the next one, since frequently the
first value is too far from its neighbor.
6. Select all the contexts that appear before the maximum Weighted Value in
the list that was organized in step 1 as the current contexts. Store current
selected contexts.</p>
        <p>7. Erase the selected contexts from the list and repeat steps 5 and 6 again.
The first cluster of contexts near the origin includes all the contexts that received
low ranking both in number of appearances and in number of references. This
group of contexts includes most of the contexts in the list. Since the contexts in
this group received low ranking they are eliminated from the list. The remaining
contexts are the current contexts. The process can continue until all the contexts
in the list are covered and this will yield all the possible preliminary contexts.
However, in most cases the best results were already achieved when steps 5 and
6 were performed two times. Further repetitions, which increase the number of
results, were unnecessary. The ranking according to number of references and
not according to the weighted value also improves the results. This indicates that
the number of appearances of the context in the text has less value in the
determination of the context than the number of references in the Internet. During
the implementation of the algorithm, there was a problem that required special
consideration. The contexts that received lower ranking than the top ranking
contexts in the cluster but were not part of the cluster were kept. Namely, these are
contexts that receive lower ranking in either the number of appearances or the
number of references than the top ranking contexts, but not in both. Running the
algorithm showed that these contexts are sometimes relevant and should be kept.
4.5</p>
      </sec>
      <sec id="sec-3-5">
        <title>Uniting Synonymous Contexts</title>
        <p>The current contexts are examined for synonyms using a thesaurus and
synonymous contexts are united. Before this step, many of the contexts identified by the
algorithm are similar in meaning. This step enables the algorithm to identify the
differing multiple contexts of the situation and thus facilitates the better
description of the situation.</p>
        <p>The current set of contexts is the output of the algorithm. However, since the
algorithm is continuous, the contexts continue updating as long as new textual
input continues to be accessed by the algorithm.</p>
        <p>Example 1. The example presents the implementation of the algorithm on text
taken from MSN chat and the results of the algorithm.</p>
        <p>Jane: NO I DONT THINK SO IVE DONE ALOT OF SEARCHING THE NET
FOR INFO
Jane: HAVE GATHERED ALOT</p>
        <p>Fig. 2. Identifying the Current Contexts
Lisa: are you a diabetic pt.?
Jane: YES
Jane: TYPE 2
Jane: 1 YR
Jane: AND A BIT OVERWEIGHT BUT NOT OBESE
Lisa: ok. are you married?
Jane: YEP
Jane: 23 YRS
Lisa: do you have children?
Jane: HAPPILY MARRIED
Lisa: do u control your blood gloucose level
Jane: YES DIET AND MEDICINE
Jane: AND EXERCISE
Lisa: is there any complications like eye problems
Jane: I WEAR GLASSES
First the input is read one line at a time. Each word is separated by a space.
Punctuation marks are eliminated. Each word is checked against the ”Stop List”
dictionary. In this case each word was checked in a predefined medical dictionary.
The words that passed the previous stage serve as keywords. After each step
(change of speaker) the keywords are sent to the search engine and clustered
into a list of preliminary contexts. These steps are repeated 17 times, yielding
139 preliminary contexts that have at least two references in the Internet and are
relevant to keywords that appeared at least once in the text.</p>
        <p>The algorithm maps all the preliminary contexts to a two dimensional graph,
allowing the contexts that receive very high ranking in both characterizations to
be located, as in Figure 2.</p>
        <p>The set of identified contexts includes: Diabetes (209,4), Eye (175,7), and
Diabetes Type 2 (121,1). The value in the parentheses includes the number of
references and the number of appearances respectively. Figure 2 shows the weighted
value calculated for each context. The differences show that the maximum weighted
value is after Eye (69.66), resulting in two contexts: Diabetes and Eye. The
second maximum weighted value is after Diabetes Type 2 (67.61), resulting in only
one additional context, Diabetes Type 2. As a result the algorithm selected the
first three contexts - Diabetes, Eye, and Diabetes Type 2 - as the current contexts.
Example 2. The algorithm was run without any information about the knowledge
domain and did not use any field of knowledge dictionary. The results of
algorithm in the following example included the contexts of Hacker and Security. This
shows that preliminary contexts can also be words that did not appear in the text
itself but were a result of the clustering of the web pages, as in the top ranking
context of Security.</p>
        <p>Fox-Fire1: i want to ask some question about hacking
Fox-Fire1: any body help me
simply-crazy: h word is bad
mad-for-computers: what ques about haciking
mad-for-computers: hacking
mad-for-computers: i love hacking
Fox-Fire1: some body hack my id
Demon11: !illegal
Obis-Shadow: Please note: Owner, hosts and participants of this room we don’t
offer any help with illegal activity. This includes p2p software.(such as Kazaa and
Imesh). any discussion of such activities will result in banishment from chat.
Fox-Fire1: and i want to get it back
Fox-Fire1: ohh
Fox-Fire1: hi
Fox-Fire1: what happened
mad-for-computers: nothing
mad-for-computers: there was room named h but it is gone
Fox-Fire1: o k tell me how i can get back my id
Demon11 and Obis-Shadow are software bots that monitor the chat. Eventually
the participant Fox-Fire1 was banished from the chat as a result of raising an
illegal discussion topic - hacking, although the participants were discussing security
measures against hacking.
5</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Analysis</title>
      <p>The context recognition algorithm was evaluated using computer-related Internet
chats acquired from MSN chats. The chats included a few participants and were
observed over time. Parts of the chats that dealt with topics concerning computers
were copied to files. From these chats sets of files were randomly selected to be
analyzed by the algorithm. These files were fed as input to the context algorithm.
The results were compared with the results given by computer-literate subjects.
The subjects who answered the survey were graduate students with at least basic
knowledge of computer terminology. A total of 20 subjects participated in the
survey. The participants received a set of 3 chats. This allowed two groups of
participants to be formed, each group with a different set of chats. Each chat had at
least 9 replies. The maximum number of replies per chat was 11. An average of 10
subjects determined the list of contexts for each chat. A total of six chats in
computer related topics were analyzed in this way. The subjects were presented with
the above chats and were asked to provide a list of contexts for the chats. The
subjects were told that the text was obtained from Internet chats and was presented to
them as is, including spelling mistakes and Internet acronyms. The subjects were
asked to write in their own words what they felt were the contexts. These words
were not selected from a list. The words were counted to determine the number
of times they appeared among all the subjects. Each word was counted once for
each subject who mentioned the context. The context was ranked in descending
order according to the number of times that the subjects mentioned the context.
The list of best-ranked contexts was compared with the results yielded by the
context recognition algorithm. The other contexts mentioned more than once by
the subjects were also compared to check the sensitivity of the algorithm.
Table 1 summarizes the comparison of the results of the algorithm and the results
of the subjects. The table also displays the average results of the contexts
recognition algorithm for all six cases examined. The second and third sets of contexts,
which are contexts mentioned by the subjects but not selected by a majority of the
people or only selected by one or two subjects, respectively, are also compared
with the second and third reiterations of the algorithm to check the sensitivity of
the algorithm.
The top ranking contexts mentioned by the subjects were identified as contexts by
the algorithm. In most of the cases the contexts that were ranked among the
highest by the subjects were also ranked among the highest by the algorithm. Some of
the other contexts generated by the algorithm were not selected by the subjects.
In addition, a few of the lower ranking contexts mentioned by the subjects were
missed by the algorithm. Table 1 shows that for the top ranking contexts the
algorithm yields very high results. As more contexts that received lower ranking
by the subjects are added, the results of the algorithm degenerate. The algorithm
needs improvement in deducting better results in the second and third ranking
sets of contexts.</p>
      <p>The significance of the results was analyzed using the identical populations test.
The test for homogeneity is designed to test the null hypothesis that two or more
random samples are drawn from the same population or from different
populations, according to some criterion of classification applied to the samples. The
Chi-square Pearson Test for Association is a test of statistical significance. The
results of the identical populations test comparing the groups containing the
algorithm as a subject with the original group consisting only of human subjects
showed that they were almost identical populations. In other words, if the
computer is part of the group, the context will remain identical. Hence, there is no
significant difference in the determination of context between the algorithm and
the human subjects. Table 2 displays the identical population test results for each
of the six chats.</p>
      <p>Currently the algorithm is being analyzed in the fields of medical case studies and
eGovernment services. In the field of medical case studies, the context
recognition algorithm is used to extract information from actual medical cases. The goal
is to examine a method for encapsulating a patient’s medical history and
current situation into keywords for the physician to assist his analysis. In the field
of eGovernment services, the algorithm is currently being examined in
TERREGOV and QUALEG, European IST projects. TERREGOV aims at providing
territorial governments with flexible and interoperable tools to support the change
towards eGovernment services. The purpose is to identify the contexts of
documents to enable the revision of ontologies for optimization of indexing and search
of documents. QUALEG aims at providing local government an effective tool for
bi-directional communication with citizens. Contexts are used to specify citizen
input and then provide services - routing emails to departments, opinion analysis
on topics at the forefront of public debates, and identification of new topics on
the public agenda.
6</p>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>Every situation can be characterized by multiple contexts that describe its
different aspects and that are necessary for the complete understanding of the different
perspectives of the situation. The main idea of the research was to use the
Internet as a context database to identify the multiple contexts of the given situation.
The Internet is a source of information that is constantly increasing and being
updated. The use of the Internet as a database for context recognition therefore
gives a context recognition model immediate access to a nearly infinite amount
of data in a multiplicity of fields. Hence, the necessity of creating a database for
the determination of the context is eliminated.</p>
      <p>Furthermore, the situations for which the context is sought can be independent of
the Internet; the Internet is merely the database in which the algorithm searches
for the context. Thus, for example, the context of a conversation between people
can be found through the use of the Internet - the algorithm is a tool that allows
the computer to determine the context by using the Internet as a database and then
to pass this context back into the real world. The Internet is one possible source
of data, but the algorithm holds also for a more restricted database. Intranet data,
internally generated textual information about the organization that is stored, can
also be used.</p>
      <p>The complexity of the algorithm is directly dependent on the size of the input
description of a given situation and thus online implementation is feasible.
Currently, it is being implemented in two online eGovernment applications.
Initial tests show that the algorithm also achieves good contexts recognition
results without the use of a field of knowledge dictionary, which represents
specialized knowledge. Thus the algorithm can be used in diverse areas without
predefined knowledge of the field.
The Internet includes many different representations of data, such as text, image,
and sound. Therefore, future directions of research include implementing the
algorithm to extract contexts in alternative formats of representation. Other
directions of research include mapping multiple contexts to ontologies, since contexts
and ontologies are complementary disciplines of modeling views.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <p>The work of Segev was partially supported by two European Commission 6th
Framework IST projects, TerreGov (http://www.terregov.eupm.net) and
QUALEG (http://www.qualeg.eupm.net), and the Fund for the Promotion of Research
at the Technion.</p>
    </sec>
  </body>
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