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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Lexical Meaning Formal Representations Enhancing Lexicons and Associated Ontologies</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maria Gritz</string-name>
          <email>maria.gritz@yandex.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Herzen State Pedagogical University of Russia, Faculty of Philology</institution>
        </aff>
      </contrib-group>
      <fpage>102</fpage>
      <lpage>115</lpage>
      <abstract>
        <p>The paper represents an outline of a new technique aimed at improvement of lexicon-to-ontology mapping technology. The technique is integrated within the Ontolex-Lemon lexicon model by supplying a lexical concept of an ontology class with a description logic based formal definition. A natural language definition used to describe the lexical concept is transformed into a DL-definition; the resulting DL-definition is associated with a graph-like join of domain ontology properties. As a result, a related lexical unit is mapped to several bound ontology units rather than to a single ontology class. DL-based and graph-based lexical meaning formal representations are applied for lexical sense disambiguation within a lexicon and for extension of class and property taxonomies of an associated ontology.</p>
      </abstract>
      <kwd-group>
        <kwd>lexicon model</kwd>
        <kwd>domain ontology</kwd>
        <kwd>lexical meaning</kwd>
        <kwd>formal definition</kwd>
        <kwd>Ontolex-Lemon</kwd>
        <kwd>OWL 2 DL</kwd>
        <kwd>SROIQ(D)</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Due to extensive growth of amount and variety of World Wide Web content, the task
of relevant information retrieval is becoming more and more challenging. Traditional
keyword-based search engines show high recall but low precision since the search
technology does not provide any formal account of semantics of keywords [
        <xref ref-type="bibr" rid="ref14 ref16">14, 16</xref>
        ].
The Semantic Web initiative has been launched at the turn of the XXI century in pursuit
of augmentation of Web search technologies with applications able to conduct
knowledge-based analysis of meaning conveyed by natural language expressions [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ].
The semantic-based Web search is supposed to render accurate search results either by
providing the requested data retrieved from knowledge bases or by giving out a list of
relevant documents retrieved from a Web document collection.
      </p>
      <p>
        Ontologies are supposed to be the key to an advanced search technology, providing
formal specifications of vocabulary units used to represent a domain [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. The scope of
vocabulary units includes individuals representing single entities of a domain; classes
rendering subsets of domain entities; object properties introducing binary relations on
a domain; and datatype properties, which assign literal and numerical characteristics to
subsets of domain entities through specific datatypes. Classes and properties are
introduced into class and property taxonomies of an ontology. Ontologies are subjected
to population by instantiating classes with individuals and assigning values to
properties. Within a semantic search engine, assertions are included in the body of an
ontology [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] or are used to form a correlated knowledge base implemented to describe
particular states of affairs [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ].
      </p>
      <p>
        Numerous ontology-based search engines have been developed during the recent
years in order to improve the precision of traditional keyword-based search: MIRO
[
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], IBRI-CASONTO [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ], and Fuzzy semantic search engine [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] are just few of
them. The list of ontology-based search engines includes a variety of applications.
Some of them function as question answering systems conducting semantic search over
ontologies and correlated knowledge bases to provide an exact answer to a question.
Pythia [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ], Wolfram alpha1, and Kngine2 are suitable examples. Google3 extends a
traditional keyword-based search engine with functions of a question answering
system. In other words, apart from retrieving a list of Web documents that contain the
requested information, the search engine provides the required data stored in a
knowledge base. MIRO [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] and Fuzzy semantic search engine [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] conduct
ontologybased semantic search to return lists of relevant documents.
      </p>
      <p>
        Within the process of ontology-based semantic search, users’ queries and Web
documents acquire ontologically motivated semantic representations [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. Web
documents are annotated either with classes of an ontology [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] or with assertions [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
Lexical units forming a user’s query are mapped to units of an ontology [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]. The
mapping is done syntactically, i.e. by virtue of syntactic similarity measurement [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ],
or semantically, i.e. by using data stored in a lexicon [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ].
      </p>
      <p>
        The major bottleneck in ontology-based semantic search development lies in
designing an efficient technology of semantic analysis of users’ queries, which provides
accurate matching of lexical units with units of an ontology. The vast variety of lexical
means of expression represented by natural languages along with highly developed
homonymy, synonymy, and polysemy within lexical systems result in the exemplified
use of ontology-based search engines being limited to a particular domain, for example,
a soccer domain [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] or a book domain [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ].
      </p>
      <p>The rest of the paper is organized as follows: in sections 2 and 3 we discuss lexical
analysis implementation in operation of natural language interfaces to ontologies and
lexicon models applied during the analysis. Section 4 is devoted to basic drawbacks of
the current lexicon-to-ontology mapping technology. Section 5 introduces our approach
towards associating lexicon units with units of an ontology. Section 6 represents the
results of experimental implementation of the novel technique. Section 7 provides some
brief conclusions as well as a vision of perspectives and future work.
1 http://m.wolframalpha.com
2 http://www.kngine.com
3 https://www.google.com</p>
    </sec>
    <sec id="sec-2">
      <title>Natural Language Interfaces to Ontologies</title>
      <p>
        Natural language interfaces (NLI) are developed to conduct semantic analysis and to
provide a formal representation of a query’s semantics [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. Semantic analysis is
executed by mapping natural language phrase structures to units of an ontology. A
formal representation of a query’s semantics must be given in a form of a string with
non-logical symbols corresponding to units of an ontology involved in the analysis. The
string must be written in a language such as SPARQL [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ], which is understandable
for an agent conducting semantic search over ontologies and correlated knowledge
bases.
      </p>
      <p>
        NLIs typically involve an extensible lexicon, which is at least partly generated
automatically from an ontology, in the process of semantic analysis of a query. The
involvement of linguistic data on lexemes provided by a lexicon in the process of
semantic analysis of a query differs from one NLI system to another. The NLI of
FREyA [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and PANTO [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ] conduct syntactic analysis of a query by virtue of the
Stanford Parser and use a lexicon to link parse tree nodes to ontology units through
synsets introducing synonyms and spelling variants of lexemes representing ontology
units.
      </p>
      <p>
        The NLIs of ORAKEL [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and Pythia [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] harness information stored in a lexicon
to conduct syntactic analysis of a query and to obtain an ontology-based formal
representation of its semantics. The linguistic data on closed class words: determiners,
conjunctions, interrogative pronouns, prepositions is stored in a domain-independent
part of a lexicon. The current paper is focused on development and implementation of
a domain-specific part of a lexicon, which supplies linguistic data on open class words:
nouns, verbs, and adjectives.
2.1
      </p>
      <sec id="sec-2-1">
        <title>NLI of ORAKEL</title>
        <p>
          The ORAKEL parser [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ] processes a query by mapping tokens to units of a lexicon,
which is developed in accordance with the LexOnto model [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]. Units of a lexicon are
introduced by virtue of elementary tree families uniting tree-like syntactic
representations of a lexeme. A family of elementary trees renders information on
syntactic categories of a lexeme and its arguments together with grammatical and
lexical constraints imposed on them. Grammatical constraints for arguments are
introduced by genus and head feature values. Lexical constraints are defined as
ontological restrictions: a lexeme in an argument position should be mapped to an
ontology class or a data value range which is either equivalent or subsumed by a domain
or a range of an ontology property the head of an elementary tree is mapped to.
        </p>
        <p>Elementary trees are combined by the parser to produce a parse tree. The head
nodes of the tree representing nouns, verbs, and adjectives are provided semantics by
virtue of lambda expressions describing an unary or a binary predicate or a constant
which corresponds to a unit of an underlying ontology. The Query Interpreter of the
ORAKEL system combines semantic representations of tree nodes to produce a formal
representation of a query’s semantics. The formal representation is provided in the form
of a FOL-like formula augmented with query, count, and arithmetic operators, which
is transformed into a SPARQL query.
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>NLI of Pythia</title>
        <p>
          The NLI of Pythia [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ] produces syntactic and semantic analysis of a user’s query in
parallel using information stored in a lexicon. An entry of the lexicon is organized in
accordance with the LexInfo model [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ], which is used to provide syntactic and semantic
data on an ontology unit’s lexicalization. An ontology unit, which is an individual, a
property, or a class of an ontology, is provided semantic representation by virtue of a
DUDE (Dependency-based Underspecified Discourse Representation Structure) [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]. A
DUDE includes a name of a predicate corresponding to an ontology unit and identifiers
of its arguments’ positions in a family of elementary LTAG trees. The LTAG trees
expose a number of possible syntactic representations of a lexeme, which is mapped to
the ontology unit.
        </p>
        <p>Elementary LTAG trees representing lexical units of a query are used by the inbuilt
parser to obtain an LTAG-derivation tree, and entries of a lexicon provide enough data
to build a parse tree by implementing substitution and adjoin operations. DUDEs are
merged to form a Discourse Representation Structure (DRS), the obtained DRS of a
user’s query is converted into a SPARQL query.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>NLI Integrated Lexicon Models: LexInfo and LexOnto</title>
      <p>
        LexInfo [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] and LexOnto [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] are OWL-based lexicon models used to link units of an
ontology to units of a lexicon thereby providing morphological, syntactic, and semantic
data on lexemes used to express ontology units. Meanwhile, lexemes acquire sense
being associated with ontology units. For instance, verbs are supposed to represent
properties of an ontology, whereas common nouns are typically associated with domain
ontology classes. In the LexInfo model compound words are subjected to
decomposition with every part being associated with an ontology unit.
      </p>
      <p>Both lexicon models are intended chiefly to provide for a domain-specific ontology
lexicon. The core difference between LexInfo and LexOnto lies in the mode of
lexiconto-ontology units mapping. In LexOnto subcategorization frames introducing
arguments attached by verbs and relational nouns are associated with single or joined
properties of a domain ontology. In LexInfo verbs and relational nouns are mapped to
object and datatype properties in a straightforward fashion, whereas their syntactic
behavior is specified by virtue of specific subcategorization frames with arguments
being mapped to domains and ranges of the properties associated with the lexemes. In
both frameworks all lexemes acquire lemmas and a list of form variants distinguished
by mood, gender, number, case, degree, person, etc.</p>
      <p>LexInfo and LexOnto specify syntactic behavior of a verb or a relational noun
through a verbal or a nominal subcategorization frame accordingly. A verbal
subcategorization frame encodes number and sort of a verb’s arguments: a subject, a
direct object, and optionally one or two prepositional complements for a transitive verb;
a subject and a prepositional complement for an intransitive verb. A nominal
subcategorization frame includes one or two prepositional complements, and an
argument position titled as external subject is filled whenever a relational noun is used
in the role of a predicate, which is related to a subject by virtue of copula. A subject is
included into nominal subcategorization frames within the LexInfo system, but it is
stored separately by LexOnto. Apart from that, LexOnto provides subcategorization
frames for participles attaching a prepositional complement. A binary frame is mapped
either to a single property or to a 2 x 2-Join of properties; a ternary frame is mapped
either to a 3 x 2-Join or to a 2 x 2-Join’ of properties whenever a joined position is
mapped to an argument of the frame; a quaternary frame is associated with a 4 x 2-Join
or with a 3 x 2-Join’ of ontology properties.</p>
      <p>Adjectives used as adjectival modifiers of a noun are supposed to subcategorize for
a modified noun. An adjective and a modified noun are mapped to ontology classes
undergoing intersection whenever the adjective is associated with a particular class
entering a class taxonomy of an ontology. Adjectives of this kind are referred to as
intersective or class adjectives and are successfully handled by LexInfo. Subjective
adjectives, on the other hand, do not have fixed extensions on a domain and their
interpretation is context dependent. An adjective of this kind is mapped to a property
of an ontology with special constraints being imposed on the property’s range, whereas
a modified noun is associated with a subclass of the domain of the property.</p>
      <p>A lexicon-to-ontology mapping scheme depends on a kind of a property which is
associated with an adjective. LexInfo maps literal adjectives such as blue or skillful to
object properties. Evidently, an ontology-based interpretation of the adjective skillful
has to be different if it subcategorizes for the noun gardener or for the noun surgeon.
Yet, the value constrains that have to be imposed on a domain of an object property a
literal adjective is mapped to are not proposed.</p>
      <p>Within the frameworks of LexInfo and LexOnto, a scalar adjective like long or big
is mapped to a datatype property on occasion particular constraints are imposed on the
data value range. Positive or negative polarity has to be set for this data value range to
indicate if the value has to increase or to decline to give an appropriate formal account
of comparative and superlative forms of the adjective. One should bear in mind that the
constraints might be regionally or culturally specific and take into account the units of
measurement. LexInfo also proposes value constraints imposed on a datatype property
domain to model a scalar adjective’s semantics since data value constraints are
supposed to be different, for instance, when the noun man or the noun woman is
modified by the adjective tall.
4</p>
    </sec>
    <sec id="sec-4">
      <title>An Outline of the Fallacies of Lexicon-to-ontology Mapping</title>
    </sec>
    <sec id="sec-5">
      <title>Technology</title>
      <p>Within the framework of Natural Language Interfaces to ontologies, lexemes acquire
semantics with reference to ontology units. Whenever an NLI integrates a lexicon
model instantiated by LexInfo and LexOnto, word sense disambiguation is done by
virtue of semantic analysis of a target lexeme’s syntactic behavior. On occasion the
syntactically bound lexemes of a target lexeme respect the ontological restrictions
imposed through lexicalization of an ontology unit, the target lexeme is supposed to
refer to the ontology unit. These restrictions expect lexical fillings of slots in lexemes’
subcategorization frames to be coreferential on a domain with particular class names or
data value ranges that are predefined by one-to-one correspondence between syntactic
role slots and domain/range constituting classes/data value ranges. This correspondence
is set within the process of lexicalization and is scripted by virtue of elementary trees
with ontological restrictions being imposed on particular nodes that acquire syntactic
roles defined in a subcategorization frame.</p>
      <p>The technology of meaning acquisition and disambiguation provided by
lexicon-toontology mapping frameworks poses a high demand on taxonomy organization and
entity coverage of a lexicon. In other words, all classes and properties that can possibly
be lexicalized by a user in a query should be included in taxonomies of a domain
ontology, and all possible contexts of lexemes’ use should be taken into account in the
process of ontology units’ lexicalization. These demands appear to be virtually
unfeasible, yet, their necessity is easily illustrated by the following examples of
problematic cases of lexicon-to-ontology mapping.</p>
      <p>
        An intransitive verb pass, which subcategorizes for a subject and a prepositional
complement attached by the preposition through, is provided as an instance of an
ambiguous verb by ORAKEL developers [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The ambiguity is resolved by mapping
an argument playing the role of a subject to a subclass of the ontology class River or to
a subclass of the class Highway. Since the ontology classes River and Highway are
disjoint, whenever a lexeme denoting a river or a kind of a river attains the role of a
subject, the predicate pass is mapped to the object property flow_through with the class
River as domain and the class City as range. Whenever a lexeme denoting a highway
or a kind of a highway attains the role of a subject, the predicate pass is mapped to the
object property located_at_highway with the class City as domain and the class
Highway as range. If the class River is used to designate all kinds of waterways in a
geographical object domain, the class should subsume the classes labeled as Creek or
Channel, for instance, so that ontological restrictions could be respected for a variety
of contexts. Moreover, the semantic analysis of the queries concerning pipelines or
railways, for instance, will fail if the properties flow_through (River, City) and
located_at_highway (City, Highway) are the only options to choose from.
      </p>
      <p>
        Ontological restrictions imposed on a verb’s arguments by a join of associated
properties should also be subjected to thorough reification. For instance, an alternative
OntoSem lexicon model [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] defines several senses of the transitive verb to address,
one of them being described as to talk to and exemplified with the sentence He
addressed the crowd. The verb to address used in that sense is associated with the 2 x
2-Join of object properties hasAgent (SpeechAct, Human) and hasBeneficiary
(SpeechAct, Human). Yet, even the illustrating example shows the necessity of
enhancing the constraints for verbalization of the direct object.
      </p>
      <p>
        The authors of LexOnto [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] and ORAKEL [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] exemplify scalar adjectives’
interpretation by mapping the adjective big subcategorizing for the noun city to the
datatype property inhabitants (City, xsd:integer) and specifying the threshold number
of city inhabitants which is required to evaluate a city as big. However, a user giving a
request for a list of big cities could be interested in most densely populated cities or in
cities occupying the largest areas. In these cases, a correct answer to the query could be
given only if an NLI system maps the adjective big to the datatype properties
populationDensity (City, PopulationDensity) or area (City, Area) accordingly.
5
      </p>
    </sec>
    <sec id="sec-6">
      <title>Lexical Meaning Formal Representations Integrated within the Ontolex-Lemon Model</title>
      <p>
        In order to resolve the issues of semantic ambiguity and inaccuracy of ontology-based
lexical semantics representations, we propose to enhance the technology of
lexicon-toontology units mapping by introducing description logic based formal definitions of
ontology class representing lexemes in the scope of semantic data provided by an
ontology lexicon. These definitions are intended to provide a formal account of a
lexeme’s meaning. In the current research the notion of lexical meaning is equated to
intension, which is understood as ‘a function from a set of possible worlds to a set of
all subsets of homogeneous n-ary relations on a domain:   :  → 2  ’ [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
Whenever an informal notation is preferred, an intension should be defined as a scope
of indispensable attributes that a referent of a lexeme has to possess on a domain. A
DL-definition is obtained by virtue of natural language definition transformation
conducted in accordance with a set of transformation rules described by Vӧlker et al.
[
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] and by Gritz [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]4. NL-definitions are retrieved from lexicons, in which they are
used to provide informal descriptions of intensions shared by lemmas united in synsets
as synonyms or spelling variants.
      </p>
      <p>
        Resulting DL-definitions are presumed to be introduced by virtue of the
OntoLexLemon model developed to represent data on ontology units’ lexicalizations [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ].
Within the framework of the OntoLex-Lemon model, lexical concepts are associated
with particular ontology units by virtue of the isConceptof property and its inverse
property concept. A lexical entry, which represents a word, an affix, or a multiword
expression, evokes one or more lexical concepts endowed with NL-definitions.
Simultaneously, a lexical entry is bound with one or more lexical senses with optional
restrictions on register, domain, or context being introduced. Each lexical sense refers
to one ontology unit by virtue of the functional reference property. Each lexical sense
is associated with a lexical concept by means of the isLexicalizedSenseOf property and
its inverse property LexicalizedSense.
      </p>
      <p>Figure 1 provides an instance of a lexical entry representing the noun coach, which
evokes two lexical concepts defined by Open Multilingual Wordnet 2.0 (OMW)5:
private instructor and manager. Private instructor, a concept of the DBpedia6 class
Coach, is associated with the first sense of the lexeme coach, which could be defined
as a person who gives private instruction. Manager, a concept of the DBpedia class
4 Please note that the set of transformation rules has been augmented with the solutions for
formalization of scalar and literal adjectives proposed within LexOnto and LexInfo systems (see
Section 3).
5 http://compling.hss.ntu.edu.sg/iliomw/omw
6 http://mappings.dbpedia.org/server/ontology
SportsManager, is associated with the second sense of the lexeme coach, which could
be defined as someone in charge of training an athlete or a team. Yet, the class Coach
might be related to both concepts, which results in semantic ambiguity for the second
sense of the lexeme coach. The lexical sense acquires reference to the ontology classes
Coach and SportsManager despite the fact that reference is a functional property.</p>
      <p>In order to overcome the ambiguity, the NL-definitions used to characterize
corresponding lexical concepts have been formalized by virtue of NL-DL definition
transformation. Concepts and roles forming complex descriptions in DL-definitions
have been associated with units of the DBpedia ontology. As a result, the lexeme coach
has acquired meaning by being mapped to joins of ontology units rather than to a single
class of the ontology. The joins form graph structures with properties corresponding to
edges, classes and data value ranges corresponding to vertices, therefore the joins are
referred to as graph-definitions representing lexical meanings of associated lexemes.
PrivateInstructor
≡Person⊓∃give.
(Private⊓Instruction)</p>
      <p>Manager
≡Person
⊓∃in_charge_of.(∃training.</p>
      <p>(Athlete⊔Team))</p>
    </sec>
    <sec id="sec-7">
      <title>An Application of DL-definitions and Graph-definitions in</title>
    </sec>
    <sec id="sec-8">
      <title>Lexicon-to-ontology Mapping</title>
      <p>
        A DL-definition is a terminological axiom stating concept equivalence, which binds an
atomic concept with a complex description obtained by means of specific concept
constructors. In the current research the constructors presumed by SROIQ(D) syntax
[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], which is an OWL 2 DL [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ] compatible description logic, are applied. Complex
descriptions are chains of intersections between atomic concepts and complex
descriptions obtained by posing universal, existential, or number restrictions on a role’s
range and by virtue of Boolean constructors: conjunction, disjunction, and negation.
      </p>
      <p>Atomic concepts, roles, or their combinations introduced in different joints of a chain
of intersections are associated with subclasses of domains and ranges of object and
datatype properties of an ontology. The ontology properties form a graph-definition
associated with a lexical concept of an ontology class. DL-based and graph-based
definitions related to the OMW lexical concept archeologist are given in the Figure 2
for the purpose of illustration. All lexical senses associated with the lexical concept
archeologist are supposed to refer to the interconnected properties forming a graph
rather than to the DBpedia class Archeologist. The resulting graph-definition specifies
the ontological restrictions for syntactic arguments of the verbs associated with the
following DBpedia object properties: activity (Person, Thing), focus (Thing, Thing),
related (Thing, Thing), era (Thing, Thing). The constraints are supposed to be applied
within discourse on human occupations.</p>
      <p>This kind of specification appears to be the key to resolution of problematic cases of
mapping verbs to object properties of an ontology, which are exemplified in the Section
4. Let us presume that DBpedia contains the object properties: pass_through (Thing,
Place), establish (Agent, Thing), and hasBeneficiary (SpeechAct, Thing). In order to
specify an ontological restriction for a lexeme associated with the domain of the object
property pass_through (Thing, Place), one should produce a DL-definition bound with
the OMW lexical concept itinerary associated with the domain of the property. The
DL-definition:

≡ ∃
ℎ . (
⊓ ∃
_ . (
⊔ 
)),
(1)
acquires the following graph-based interpretation within the framework of DBpedia:
establish (Agent, RouteofTransportation); pass_through (RouteofTransportation,
Place). With the ontological restriction being specified as pass_through
(RouteofTransportation, Place), the lexical units associated with the domain of the
object property pass_through (Thing, Place) are supposed to be coreferential with
subclasses of the DBpedia class RouteofTransportation, i.e. with the classes: Bridge,
RailwayLine, RailwayTunnel, Road, RoadJunction, RoadTunnel, WaterwayTunnel.</p>
      <p>In order to impose an ontological restriction on a verb argument which is associated
with the range of the object property hasBeneficiary (SpeechAct, Thing), a
DLdefinition associated with the OMW lexical concept addressee was mapped to the
object property hasBeneficiary (SpeechAct, Agent). As a result, the DBpedia class
Agent was set as an ontological restriction for a syntactic argument associated with the
range of the property hasBeneficiary (SpeechAct, Thing).</p>
      <p>The proposed attitude might be extended to improve semantic representations of
adjectives. With a view to define the properties an adjective is mapped to, one has to
produce a DL-definition associated with a lexical concept evoked by a modified noun.
For instance, whenever the adjective big modifies the noun city, the adjective should
be associated with the DBpedia datatype properties area (City, Area) and
populationDensity (City, PopulationDensity). The reason is that these datatype
properties compose a graph-definition bound with the OMW lexical concept urban
center, which is evoked by the noun city.</p>
      <p>In order to provide a brief description of advantages and shortcomings of the
proposed approach to lexicon-to-ontology mapping, we have retrieved 50 lexical
concepts from Open Multilingual Wordnet 2.0, the concepts that should be associated
with subclasses of the DBpedia class Person. The NL-definitions used to characterize
intensions of the lexemes associated with the lexical concepts were transformed into
DL-based formal definitions.</p>
      <p>All DL-definitions used to characterize 50 retrieved lexical concepts associated
with 39 DBpedia classes were successfully linked to graph-definitions.
Graphdefinitions were the keys to resolution of 11 cases of semantic ambiguity, which arose
every time two or more lexical concepts were defined as concepts of the same ontology
class. The list of these classes includes the classes: Coach, Judge, Politician, Referee,
and Ambassador among others. The set of graph-definitions provides information on
the ontological restrictions that should be imposed on arguments of the lexemes
associated with the object properties: profession (Person, Thing), education (Person,
Thing), activity (Person, Thing), management (Thing, Thing), specialization (Thing,
Thing), created (Person, Work). For instance, within discourse on human occupations
the arguments associated with the domain of the object property management (Thing,
Thing) should be restricted to the ones mapped to subclasses of the DBpedia classes
Person and WrittenWork. The arguments mapped to the range should be restricted to
the ones associated with subclasses of the DBpedia classes: Person, Activity, Place, and
MeanOfTransportation. The arguments associated with the domain of the object
property specialization (Thing, Thing) should be restricted to the ones mapped to
subclasses of the DBpedia class Person, whereas the lexical units associated with the
range of the property are supposed to be coreferential with subclasses of the class
Science.</p>
      <p>In 78% of cases newly proposed classes and properties had to be used in order to
compile suitable graph-based definitions associated with particular lexical concepts.
Overall, 43 classes and 9 object properties have been proposed to enhance the class and
property taxonomies of DBpedia. For instance, the class Anthropologist and the class
Culture have been proposed in order to develop the graph-definition represented in the
Figure 2. Some of the proposed properties appear to be crucial for formal description
of human occupation subdomain: instruct (Person, Person), solve (Thing, Thing),
represent (Thing, Thing), find (Thing, Thing). Two object properties that have been
proposed: appoint (Agent, Person) and appointed (Person, Thing), form a 2 x 2 Join’
which is supposed to be mapped to the subcategorization frame of the verb to appoint
containing three arguments. 13,5 % of the proposed ontology units were used more than
once for the purpose of graph-based representation of lexical concepts of human
occupations. 6% of proposed units subsume at least one suggested unit. For instance,
the introduced class Science possesses 6 subclasses that were suggested to represent
different areas of research: Economics, Egyptology, Linguistics, Philosophy,
Psychology, History. Consequently, the extension of an ontology’s taxonomies in the
process of graph-definitions formation should be considered domain oriented and
therefore fruitful.</p>
      <p>Simultaneously, a soft spot of the proposed technique arises. Units composing
DLbased and graph-based definitions acquire an irregular match that might complicate the
technique implementation in lexicon modelling (see Table 1). For instance, the range
of the object property education (Person, Thing) is associated with the atomic concept
Psychology within the DL-definition related to the lexical concept psychologist. The
same object property gets its range mapped to the atomic role travel_in, which is in turn
associated with the domain of the property equipment (Activity, Thing) used within the
graph-definition related to the lexical concept spaceman. Finally, the range of the object
property education (Person, Thing) happens to be related to the complex description
∃compete_in.Sports, which in turn is used to define an existential restriction imposed
on the atomic role trained_to, within the DL-definition related to the lexical concept
athlete. The range of the object property created (Person, Work) is associated with an
intersection of the concepts Creative and Work within the DL-definition related to the
lexical concept artist. Within the same DL-definition the range of the object property
picture (Thing, Thing) is mapped to the atomic concepts Sensitivity and Imagination
that compose an intersection used to characterize an existential restriction imposed on
the atomic role show. The case of the object property activity (Person, Thing) being
mapped to the atomic concept Scientist within the DL-definition associated with the
lexical concept psychologist should also be taken into consideration.</p>
      <p>These examples reveal the necessity of making ad-hoc decisions in order to link
units of DL-based definitions of lexicon units’ semantics with units of an associated
ontology. Hence, even though the proposed technique seems to be an appropriate tool
for revision and improvement of lexicon-to-ontology mappings conducted in relevance
to a particular domain of discourse, the large-scale implementation of the technique is
yet to be achieved.
≡ 
≡ 
⊓ ∃</p>
      <p>⊓ ∃
. (
⊓
_ . (∃
⊓ ∃
. ((
⊓</p>
      <p>_ . 
_ .</p>
      <p>ℎ
_ . (∃
_ . 
⊓</p>
      <p>)
))
)
)
graph-definition
created (Person, ArtWork);
picture (ArtWork, Sensitivity);
picture (ArtWork, Imagination)
education (Person, Contest)
activity (Person, Science);
education (Person, Psychology)
education (Person,
Management); equipment
(Management, Spacecraft)
The brief study introduced in the current paper has shown that DL-based and
graphbased formal specifications of a lexeme’s meaning improve the accuracy of
lexicon-toontology mappings by resolving cases of semantic ambiguity among ontology class
representing lexemes. At the same time, the semantics of property representing lexemes
is subjected to reification through specification of ontological restrictions imposed on
arguments entering the lexemes’ subcategorization frames.</p>
      <p>The novel technique of ontology lexicon modelling is applicable under the condition
of an ontology’s taxonomies being limited and allows to deny the impracticable demand
for summarization of all possible grammatical contexts of a lexeme’s use. Meanwhile,
the process of graph-definitions formation stimulates the development of class and
property taxonomies of a domain ontology. However, a regular correspondence
between units composing DL-based and graph-based definitions is yet to be found. A
set of rules associating atomic roles, atomic concepts, and complex descriptions of a
DL-definition with classes and data value ranges representing domains and ranges of
ontology properties has to be introduced in order to make the technique applicable in a
large-scale fashion.</p>
    </sec>
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