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5/9/11 1 Seman+c Web Ontology Design Valen+na Presu< and Eva Blomqvist Lecture 3 @ Corso DoForato 2011 Dipar+mento di Scienze dell’Informazione Bologna, Italy Computa+onal ontologies Ontologies as (soPware) components, expressed and managed in standard W3C languages like RDF, OWL, RIF, SPARQL Ontology design is the core aspect Quality is associated with good design 2

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Seman+c  Web  Ontology  Design  

Valen+na  Presu<  and  Eva  Blomqvist  Lecture  3  @  Corso  DoForato  2011  

Dipar+mento  di  Scienze  dell’Informazione  Bologna,  Italy  

Computa+onal  ontologies  

•  Ontologies  as  (soPware)  components,  expressed  and  managed  in  standard  W3C  languages  like  RDF,  OWL,  RIF,  SPARQL  

•  Ontology  design  is  the  core  aspect  •  Quality  is  associated  with  good  design  

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Quality  •  Three  quality  dimensions:  Structural-­‐Content-­‐Sustainability  –  Content  is  the  primary  dimension  

•  Content  compliance  spans  Coverage-­‐Task-­‐SelfExplana+on  –  Task  is  the  immediately  measurable  aspect  –  Quality  is  not  maximal  and  abstract,  but  bound  to  context  –  Par+al  orders  of  problems  and  reusable  solu+ons  (locality)  –  Good  prac+ces  (history)  

•  Empirical  methods  for  evalua+on  (measurability)  

What  is  ontology  design?  1/2  

•  Computa+onal  Ontologies  are  ar+facts  – Have  a  structure  (linguis+c,  logical,  etc.)  – Their  func+on  is  to  “encode”  a  descrip(on  of  the  world  (actual,  possible,  counterfactual,  impossible,  desired,  etc.)  for  some  purpose  

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What  is  ontology  design?  2/2  •  Ontologies  must  match  both  domain  and  task  –  Allow  the  descrip+on  of  the  en++es  (“domain”)  whose  aFributes  and  rela+ons  are  concerned  because  of  some  purpose  •  social  events  and  agents  as  en++es  that  are  considered  in  a  legal  case    

•  research  topics  as  en++es  that  are  dealt  with  by  a  project,  worked  on  by  academic  staff,  and  can  be  topics  of  documents  

–  Serve  a  purpose  (“task”)  •  finding  en++es  that  are  considered  in  a  same  legal  case  •  finding  people  that  work  on  a  same  topic    •  matching  project  topics  to  staff  competencies,  +me  leP,  available  funds,  etc.  

Standard  languages  help  

•  Transform  all  in  RDF,  or  even  OWL  – Cf.  Triplify  ini+a+ve  – Datasets  extracted  from  heterogeneous  sources,  and  triplified  

– Seman+cs  depends  on  intended  task  of  data  and  rela+ons  used  for  linking  

•  Then  search/visualize  RDF  data,  or  make  integra+ng  applica+ons  

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Knowledge  search  over  the  seman+c  web  

Ontology  Design  PaFerns  

Valen+na  Presu<  and  Eva  Blomqvist  Lecture  3  @  Corso  DoForato  2011  

Dipar+mento  di  Scienze  dell’Informazione  Bologna,  Italy  

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Outline  

•  Mo+va+on  for  ontology  design  paFerns  •  Types  of  ontology  design  paFerns  •  Catalogue  of  ODPs  •  Content  ODPs  •  Logical  ODPs  

Two  kinds  of  ontologies  

•  Coverage-­‐oriented  ontologies  –  They  cover  the  terminology/metadata/textual  corpora/

folksonomies  ...  that  fit  a  specific  domain  [big  reengineering  problem  -­‐  exploited  for  annota+on,  retrieval,  etc.]  

•  Task-­‐oriented  ontologies  –  They  are  able  to  give  a  structure  to  a  knowledge  base  that  can  be  

used  to  answer  competency  ques+ons  [big  design  and  reuse  problem  -­‐  exploited  for  automated  reasoning  and  querying]  

•  Currently    –  a  mass  of  heterogeneous  data  and  ontologies,  either  expressed  or  

portable  to  RDF  (DB  liPing,  rdf-­‐ized  sources,  etc.)    –  with  generally  low  quality  in  some  quality  dimension/aspect  

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city  -­‐  subClassOf  -­‐>  country  

What  we  can  do  with  OWL    

•  ...  (maybe)  we  can  check  the  consistency,  classify,  and  query  all  this  knowledge  

•  this  is  great,  but  ...  •  ...  remember  the  Scarlet  example  –  City  subClassOf  Country  

•  Logical  consistency  is  not  the  main  problem    –  e.g.  owl:sameAs  can  be  wrongly  used  and  s+ll  we  have  consistency  

•  Why  OWL  is  not  enough?  

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When  to  use  owl:Individual,  owl:Class,        owl:ObjectProperty,  owl:DatatypeProperty?  

•  OWL  gives  us  logical  language  constructs,  but  does  not  give  us  any  guidelines  on  how  to  use  them  in  order  to  solve  our  tasks.    

•  E.g.  modeling  something  as  an  individual,  a  class,  or  an  object  property  can  be  quite  arbitrary  

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New  problems  arising  on  the  Web...  

•  cf.  Seman+c  Web  Interest  Group  post  May  27th,  2008  by  Zille  Huma:  "I  have  been  wondering  for  some>me  now  that  why  isn't  it  a  popular  trend  to  store  standard  ac>vi>es  of  a  domain  in  the  ontology  

and  not  only  the  concepts,  e.g.,  for  the  tourism  domain,  ontologies  normally  contain  concepts  like  Tourist,  Resort,  etc.  but  I  have  not  so  far  come  across  an  ontology  that  also  contains  the  standard  ac>vi>es  like  searchResort,  bookHotel,  etc.  Why  is  it  so?  What  support  is  provided  in  the  ontology  langauges  to  model  the  standard  ac>vi>es  of  the  domain  as  well?"  

•  (1)  “searching  resorts  is  a  type  of  func+onality  required  for  this  kind  of  services”  –  owl:Class(searchResort)  rdfs:subClassOf(Func+onality)  

•  (2)  “a  func+onality  for  searching  resorts  is  implemented  in  our  web  service”  –  owl:Individual(searchResort)  rdf:type(Func+onality)  

•  (3)  “who  has  been  searching  for  what  resorts  in  our  web  service?”  –  owl:ObjectProperty(searchResort)  rdfs:domain(Customer)  rdfs:range(Resort)  

•  (4)  “how  many  users  have  been  using  our  resort  searching  func+onality?”  –  owl:DatatypeProperty(searchResort)  rdfs:domain(Customer)  rdfs:range(xsd:boolean)  

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Solu+ons?  •  ...  OWL  is  not  enough  for  building  a  good  ontology,  

and  we  cannot  ask  all  web  users  either  to  learn  logic,  or  to  study  ontology  design  

•  Reusable  solu+ons  are  described  here  as  Ontology  Design  PaFerns,  which  help  reducing  arbitrariness  without  asking  for  sophis+cated  skills  ...  

•  ...  provided  that  tools  are  built  for  any  user  "

A  well-­‐designed  ontology  ...  

•  Obeys  to  “capital  ques+ons”:  –  What  are  we  talking  about?  –  Why  do  we  want  to  talk  about  it?  –  Where  to  find  reusable  knowledge?  –  Do  we  have  the  resources  to  maintain  it?  

•  Whats,  whys  and  wheres  cons+tute  the  Problem  Space  of  an  ontology  project  

•  Ontology  designers  need  to  find  solu+ons  from  a  Solu>on  Space  

•  Matching  problems  to  solu+ons  is  not  trivial  

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From  the  lessons  learnt  ...  

•  Small  ontologies  with  explicit  documenta+on  of  design  ra>onales  –  components  supported  by  specific  func+onali+es    •  selec+on,  matching,  composi+on,  etc.  

–  implemented  in  repositories,  registries,  catalogues,  open  discussion  and  evalua+on  forums,  and  in  new-­‐genera+on  ontology  design  tools  •  ontologydesignpaFern.org  •  ODP  and  Watson  APIs  •  NeOn  ODP  Plugin  •  etc.    

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Ontology  Design  PaFerns  An  ontology  design  paJern  is  a  reusable  successful  solu>on  to  a  recurrent  modeling  problem  

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Logical  Ontology  Design  PaFerns    

Types  of  ODPs:  Structural  ODPs  

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Logical  ODPs  

•  Defini>on  •  A  Logical  ODP  is  a  formal  expression,  whose  only  parts  are  expressions  from  a  logical  vocabulary  e.g.,  OWL  DL,  that  solves  a  problem  of  expressivity  •  Logical  ODPs  are  independent  from  a  specific  domain  of  interest    –  i.e.  they  are  content-­‐independent    

Logical  ODPs  

•  A  Logical  ODP  describes  a  formal  expression  that  can  be  exemplified,  morphed,  and  instan>ated  in  order  to  solve  a  domain  modelling  issue  

•  owl:Class:_:x  rdfs:subClassOf  owl:Restric(on:_:y  •  Inflamma>on  rdfs:subClassOf  (localizedIn  some  BodyPart)  •  Coli>s  rdfs:subClassOf  (localizedIn  some  Colon)  •  John’s_coli>s  localizedIn  John’s_colon  

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Logical  macros  

•  Logical  macros  provide  a  shortcut  to  model  a  recurrent  intui+ve  logical  expression  

•  Example:    •  Formally:  R  some  Thing  and  R  only  C  •  Things  that  R,  R  at  least  one  thing  that  is  only  C  •  Carnivore  animals  eat  only  animals  +  Carnivore  animals  eat  some  (at  least  one)  animals  

Transforma+on  Ontology  Design  PaFerns  

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N-­‐ary  rela+on  

•  Chad  Smith  was  the  drum  player  of  Red  Hot  Chili  Peppers  when  they  recorded  their  album  Stadium  Arcadium  from  September  2004  to  December  2005.    

•  A  person  plays  a  certain  role  in  a  band  during  an  album  recording,  taking  place  during  a  certain  +me  interval  

•  PlaySitua+on(Person,  MusicianRole,  Band,  Album,  TimeInterval)  

N-­‐ary  rela+on  •  PlaySituation hasKey[playsRole, forAlbum, inBand,

recordingTime, personPlaying]!

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Let’s  remove  the  domain  •  NaryRelation hasKey[relation1, relation2,

relation3, relation4]!

Transi+ve  Reduc+on  

•  I  want  to  represent  that  a  car  is  composed  of  several  parts  – part  of  –  transi+ve  property  

•  I  also  want  to  represent  that  each  part  can  have  “direct”  components    – e.g.  the  turbine  is  a  component  of  the  engine  

•  The  turbine  is  a  component  of  the  engine,  hence  it  is  part  of  the  car,  but  not  its  “direct”  component  

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Direct  components  in  a  car  

partOf  

partOf   partOf  

Transi+ve  reduc+on  

aProperty  rdf:type  owl:Transi+veProperty  anotherProperty  rdfs:subPropertyOf  aProperty    anotherProperty  does  not  inherit  transi>vity,  but:    en+ty1  anotherProperty  en+ty2  implies  en+ty1  aProperty  en+ty2  

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Exhaus+ve  par++on  

•  A  class  with  a  number  of  sub-­‐classes,  all  disjoint  with  each  other  –  its  individuals  can  belong  only  to  one  of  its  sub-­‐classes  

–  it  is  equivalent  to  the  union  of  its  subclasses  •  The  “BeFer  Cars”  sells  only  three  products:  cars,  motorcycles  and  dolls.  

Exhaus+ve  par++on:  meta-­‐level  descrip+on  

•  Sibling  par++on  classes  are  disjoint  with  each  other  •  Exhaus+vePar++onClass  is  the  union  of  its  Par++onClass  

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Transforma+on  ODPs  

•  N-­‐ary  rela+on  –  Allows  to  represent  rela+ons  with  more  than  two  arguments  

•  Transi+ve  reduc+on  –  Allows  to  create  transi+ve  closure  over  one  or  more  non-­‐transi+ve  

property  •  Exhaus+ve  par++on  

–  Allows  to  represent  classes  that  have  a  set  of  disjoint  subclasses  cons+tu+ng  a  complete  par++on  of  the  class  

Types  of  ODPs  

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Content  ODPs  

Content  ODPs  (CPs)  1/3    

•  CPs  encode  conceptual,  rather  than  logical  design  paFerns.    – Logical  ODPs  solve  design  problems  independently  of  a  par+cular  conceptualiza+on  

– CPs  are  paFerns  for  solving  design  problems  for  the  domain  classes  and  proper+es  that  populate  an  ontology,  therefore  they  address  content  problems    

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Content  ODPs  (CPs)  2/3    

•  CPs  are  instan+a+ons  of  Logical  ODPs  (or  of  composi+ons  of  Logical  ODPs),  featuring  a  non-­‐empty  signature  – Hence,  they  have  an  explicit  non-­‐logical  vocabulary  for  a  specific  domain  of  interest,  i.e.  they  are  content-­‐dependent  

Content  ODPs  (CPs)  3/3    

•  Modeling  problems  solved  by  CPs  have  two  components:  domain  and  requirements.    – A  same  domain  can  have  many  requirements  (e.g.  different  scenarios  in  a  clinical  informa+on  context)  

– A  same  requirement  can  be  found  in  different  domains  (e.g.  different  domains  with  a  same  “expert  finding”  scenario)  

•  A  typical  way  of  capturing  requirements  is  by  means  of  competency  ques+ons  

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Catalogues  of  CPs  1/2  

•  Content  ODPs  are  collected  and  described  in  catalogues  and  comply  to  a  common  presenta+on  template  

•  The  ontologydesignpaFerns.org  ini+a+ve  maintains  a  repository  of  CPs  and  a  seman+c  wiki  for  their  descrip+on,  discussion,  evalua+on,  cer+fica+on,  etc.  

Catalogues  of  CPs  2/2  

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Pragma+c  characteris+cs  of  CPs  •  Domain-­‐dependent  

–  Expressed  with  a  domain-­‐specific  (non-­‐logical)  vocabulary  •  Requirement-­‐covering    

–  Solve  domain  modeling  problems  (expressible  as  use-­‐cases,    tasks  or  “competency  ques+ons”),  at  a  typical  maximum  size  (cf.  blink)  

•  Reasoning-­‐relevant  components  –  Allow  some  form  of  inference  (minimal  axioma+za+on,  e.g.  not  an  isolated  

class)  •  Cogni+vely-­‐relevant  components  

–  Catch  relevant  core  no+ons  of  a  domain  and  the  related  exper+se  -­‐-­‐  blink  knowledge  

•  Linguis+cally-­‐relevant  components  –  Are  lexically  grounded,  e.g.  they  match  linguis+c  frames,  or  at  least  a  domain  

terminology  •  Examples:  

–  PartOf,  Par+cipa+on,  Plan,  Legal  Norm,  Legal  Fact,  Sales  Order,  Research  Topic,  Legal  Contract,  Inflamma+on,  Medical  Guideline,  Gene  Ontology  Top,  Situa+on,  TimeInterval,  etc.  

Generic  ontology  requirements  Generic Competency Questions! Specific Modelling Use Case!

Who does what, when and where? Production reports, schedules Which objects take part in a certain event? Resource allocation, biochemical pathways

What are the parts of something? Component schemas, warehouse management What’s an object made of? Drug and food composition, e.g. for safety (comp.)

What’s the place of something? Geographic systems, resource allocation What’s the time frame of something? Dynamic knowledge bases

What technique, method, practice is being used? Instructions, enterprise know-how database Which tasks should be executed in order to achieve a certain goal? Planning, workflow management

Does this behaviour conform to a certain rule? Control systems, legal reasoning services

What’s the function of that artifact? System description How is that object built? Control systems, quality check

What’s the design of that artifact? Project assistants, catalogues How did that phenomenon happen? Diagnostic systems, physical models What’s your role in that transaction? Activity diagrams, planning, organizational models

What that information is about? How is it realized? Information and content modelling, computational models, subject directories

What argumentation model are you adopting for negotiating an agreement?

Cooperation systems

What’s the degree of confidence that you give to this axiom? Ontology engineering tools

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Examples  of  CPs  

Content  PaFern  (generic  TBox)  

Content  PaFern  (specific  TBox)  

Examples  of  CPs  

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Opera+ons  

•  CP  crea+on  and  reuse  relies  on  a  set  of  opera+ons:  –  Import  – specializa+on  – composi+on  

45  

Sample  Specializa+on  

•  A  content  paFern  CP2  specializes  CP1  if  at  least  one  ontology  element  of  CP2    is  subsumed  by  an  ontology  element  of  CP1  –  i.e.,  either  by  rdfs:subClassOf  or  rdfs:subPropertyOf  

46  

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Composi+on    •  The  composi+on  opera+on  relates  two  CPs  and  results  into  a  new  

ontology  

•  The  resul+ng  ontology  is  composed  of  the  union  of  the  ontology  elements  and  axioms  from  the  two  CPs,  plus  the  axioms  (e.g.  disjointness,  equivalence,  etc.)  that  are  added  in  order  to  link  the  CPs  

•  The  composi+on  of  CP1  and  CP2  consists  of  crea+ng  a  seman+c  associa+on  between  CP1  and  CP2  by  adding  at  least  one  new  axiom,  which  involves  ontology  elements  from  both  CP1  and  CP2  

•  Typically,  also  new  elements  (“expansion”)  are  added  when  composing  

47  

Sample  composi+on  

48  

The  resul+ng  ontology  is  composed  of  the  union  of  the  ontology  elements  and  axioms  from  the  two  CPs,  plus  the  axioms  (e.g.  disjointness,  equivalence,  etc.)  that  are  added  in  order  to  link  the  CPs  

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General  Content  ODPs  

General  Content  ODPs  

•  Classifica+on  –  Roles  of  objects  

•  Containment  –  Part-­‐whole  rela+onships  – Membership  

•  Informa+on  and  its  realiza+ons  •  Time  and  Places  •  Situa+on  •  Descrip+on  

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Roles  of  objects  

•  Objects  can  play  different  roles  in  different  situa+ons  

•  Depending  on  the  constraints  given  by  the  requirements,  modeling  of  objects  and  their  roles  can  be  addressed  differently  

•  Do  we  want  to  represent  proper+es  of  roles?  •  Do  we  want  to  classify  objects  based  on  their  roles?  

•  Do  we  want  to  assert  facts  about  roles?  

Roles  of  objects  

•  A  beer  mug  used  as  vase  •  Books  used  as  table’s  legs  •  A  sax  player  (person)  •  A  song  writer  (person)  

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Roles  as  classes  

Roles  as  classes  

•  An  object  and  its  roles  are  related  through  the  rdf:type  property  

•  rdf:type  rela+ons  can  be  either  asserted  or  inferred  through  classifica+on  

•  In  order  to  automa+cally  classify  individuals  in  a  certain  class  the  ontology  has  to  define  appropriate  axioms  

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Roles  as  classes  •  Consequences    

–  Low  expressivity  –  Roles  are  described  at  TBox  level  –  Class  taxonomy  is  bigger  -­‐  a  class  for  each  role  –  Class  taxonomy  is  entangled  -­‐    mul+-­‐typing  –  ABox  is  smaller  –  same  individual,  several  (role)  types  –  Automa+c  classifica+on  of  individuals  through  rdfs:subClassOf  

inheritance  –  with  proper  axioms  –  Roles  cannot  be  indexed  in  terms  of  space  and  +me  –  Facts  about  roles  cannot  be  expressed  e.g.  “Roles  in  UniBo  can  be  

student,  professor,  researcher”,  “Valen+na  is  teacher  for  KMDM  course”  

–  Queries:  ?x a SongWriter!•  General  CQs  

–  What  objects  have  a  (role)  type?  

Roles  as  individuals  

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Roles  as  individuals  

•  An  object  and  its  roles  are  related  through  domain-­‐specific  rela+ons  

•  Rela+ons  between  an  object  and  its  roles  have  to  be  asserted  

•  Automa+c  inference  of  rela+ons  between  an  object  and  its  roles  can  be  obtained  through  property  sub-­‐sump+on  

Roles  as  individuals  •  Consequences  

–  Expressivity  is  improved  –  Roles  are  described  at  ABox  level  –  Class  taxonomy  is  smaller  –  roles  are  individuals  –  Abox  is  bigger    –  Facts  on  roles  can  be  asserted  –  Roles  can  be  indexed  in  terms  of  +me  and  space  -­‐  through  n-­‐ary  rela+ons  –  N-­‐ary  rela+ons  are  needed  for  rela+ng  an  object  to  its  role  with  respect  to  

some  other  object  e.g.  Valen+na  is  teacher  for  KMDM  course  •  kmdm_teacher  involvesPerson  Valen+na  •  kmdm_teacher  involvesRole  teacher  •  kmdm_teacher  involvesCourse  KMDM  •  Valen+na  hasRole  teacher  

–  Roles  do  not  type  objects,  no  automa+c  classifica+on  of  objects  –  Queries:  ?x hasRole ?y  ;  ?x a Role !

•  General  CQs  –  What  roles  has  an  object?  What  objects  have  a  role?  

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Roles  as  proper+es  

Roles  as  proper+es  

•  The  seman+cs  of  “having  a  role”  is  embedded  in  the  name  of  a  property  

•  Typically  proper+es  conveying  a  role  informa+on  are  verbs  

•  Objects  are  not  explicitly  related  to  their  roles,  they  are  related  to  other  things  through  a  property  expressing  an  ac+on  they  perform,  a  role  they  play  

•  Most  common  paFern  in  the  web  of  data  for  modeling  roles  

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Roles  as  proper+es  •  Consequences  

–  Smaller  taxonomy  of  classes  –  Bigger  taxonomy  of  proper+es  –  a  property  for  each  role  –  Simpler  graph  of  data  –  one  triple  for  “Valen+na  is  teacher  for  KMDM  course”    •  Valentina teaches KMDM!

–  Roles  cannot  be  indexed  in  terms  of  space  and  +me  –  Seman+cs  of  roles  is  implicit  (embedded  in  a  property  name)  –  Facts  about  roles  cannot  be  expressed  –  Queries:  ?x  teaches  ?y  

•  General  CQs  –  Who  did  something?    

Roles  of  objects  

•  The  three  solu+ons  differ  in  expressivity,  simplicity,  and  CQs  – Simplest  is  roles  as  proper+es  – Most  expressive  is  roles  as  individuals  – Least  expressive  is  roles  as  classes  

•  Each  of  them  has  pros  and  cons  •  The  choice  depends  on  requirements  •  What  about  combining  them?  

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Combining  roles  as  instances  with  roles  as  classes  

•  A  class  Role  •  A  class  for  each  Role  e.g.  SaxPlayer  •  A  property  restric+on  on  classes  represen+ng  roles,  for  automa+c  classifica+on  

Combining  roles  as  instances  with  roles  as  classes  

•  In  this  example  John_Coltrane  is  a  Person  •  He  has  the  role  of  sax_player  •  The  property  restric+on  on  SaxPlayer  allows  to  classify  John_Coltrane  as  a  SaxPlayer  

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…and  add  roles  as  proper+es  

•  Note  the  restric+on  on  property  writerOf    

Indexing  roles  in  terms  of  +me  and  space  

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Indexing  roles  in  terms  of  +me  and  space  

Content  ODPs  for  roles  of  objects  

•  Object-­‐Role  – OWL  paFern  represen+ng  roles  as  individuals  –  hFp://ontologydesignpaFerns.org/cp/owl/dul/objectrole.owl    

•  Classes  as  roles  –  Sample  paFern  (template)  represen+ng  roles  as  classes  

–  hFp://ontologydesignpaFerns.org/cp/owl/classesasrole.owl  

•  Time-­‐place-­‐indexed-­‐object-­‐role  – N-­‐ary  rela+on  represen+ng  an  objects,  the  roles  it  plays  at  a  certain  date  in  a  certain  place  

–  hFp://www.ontologydesignpaFerns.org/cp/owl/dul/+meplaceindexedobjectrole.owl    

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Object  classifica+on  •  The  object-­‐role  rela+on  can  be  generalized  •  An  object  is  classified  by  a  concept  

–  Project  hasStatus  Status  •  IKS  hasStatus  ac+ve  

–  Person  hasRole  Role  •  John_Coltrane  hasRole  sax_player  

–  Object  hasType  Type  •  MacBookPro  hasType  laptop  

–  Color  hasParameter  Parameter  •  Black  hasParameter  posi+ve  

–  Document  hasTopic  Topic  •  hFp://en.wikipedia.org/wiki/Paris  hasTopic  hFp://dbpedia.org/resource/Paris    

–  Ac+on  addresses  Task  •  email_to_partners  addresses  mee+ng_no+fica+on  

Object  classifica+on  

•  The  discussion  on  modeling  objects  and  their  roles  holds  for  any  classifica+on  rela+on  

•  The  general  paFern  is  called  “classifica+on”  

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Parthood  •  Objects  can  have  different  parts  •  Parthood  rela+on  is  intui+vely  similar  to  set  inclusion  •  The  parthood  rela+on  is      

–  Reflexive  ex:obj1 partOf ex:obj1

–  An+-­‐symmetric  ex:obj1 partOf ex:obj2 ∧

ex:obj2 part of ex:obj1 ex:obj1 owl:sameAs ex:obj2

–  Transi+ve  ex:obj1 partOf ex:obj2 ∧ ex:obj2 part of ex:obj3 ex:obj1 partOf ex:obj3

   

Parthood  modeling  

•  Depending  on  the  constraints  given  by  the  requirements,  modeling  of  objects  and  their  parts  can  be  addressed  differently  

•  Do  we  want  to  dis+nguish  parts  of  an  object  at  different  points  in  +me?  

•  Do  we  want  to  dis+nguish  parts  of  a  whole  from  its  direct  parts?  

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Parthood  examples  

•  The  CPU  is  part  of  the  motherboard  •  The  motherboard  is  part  of  the  computer  

partOf  

partOf  

partOf  

Parthood  examples  

•  The  CPU  is  part  of  the  matherboard  •  The  matherboard  is  part  of  the  computer  

partOf  Time  1  

partOf  

Time  2  

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Parthood  examples  

•  The  CPU  is  direct  part  of  the  motherboard  •  The  motherboard  is  part  of  the  computer  

directPartOf  

partOf  

partOf  

directPartOf  

Part  of  •  Note  that  reflexivity  and  an+-­‐symmetry  are  not  modeled  •  An+-­‐symmetry  is  not  representable  in  OWL  •  Reflexivity  would  cause  the  materializa+on  of  numerous  

somehow  redundant    triples,  possibly  not  desirable  in  LOD  –  it  can  be  easily  added  as  local  axiom  

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Direct  part  

•  directPartOf  does  not  inherit  transi+vity  •  directPartOf  implies  part  of  

Time-­‐indexed  parthood  •  We  need  an  n-­‐ary  rela+on  •  Transi+vity  for  +me-­‐indexed  parthood  is  not  expressible  in  OWL  •  The  range  of  datatype  proper+es  is  not  set,  it  depends  on  local  

needs  –  Datatypes  are  all  disjoint  with  each  other  e.g.  xsd:date  owl:disjointWith  xsd:gYear  

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Time  indexed  parthood  

•  …and  if  we  want  to  have  +me  intervals  in  our  domain  of  discourse?  

Time  Interval  

•  hasDate  allows  us  to  set  any  date  within  the  +me  interval  

•  The  range  of  the  datatype  proper+es  is  set  locally  

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Time  indexed  parthood  with  +me  intervals  

Membership  

•  Objects  can  belong  to  a  collec>on  of  objects  •  Membership  is  similar  the  no+on  of  set  membership  

•  The  membership  rela+on  is  not  transi+ve  –  if  an  object  O  belongs  to  a  collec+on  C,  which  in  turn  belongs  to  a  collec+on  D,  O  is  not  said  to  belong  to  D    

•  The  membership  rela+on  chained  with  the  parthood  rela+on  implies  parthood  –  if  an  object  O  belongs  to  a  collec+on  C,  which  in  turn  is  part  of  a  collec+on  D,  O  belongs  to  D    

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Membership  modeling  

•  Depending  on  the  constraints  given  by  the  requirements,  modeling  of  collec+ons  and  their  members  can  be  addressed  differently  

•  Do  we  want  to  iden+fy  members  of  a  collec+on  at  a  certain  point  in  +me?  

Membership  examples  

memberOf  

memberOf   memberOf  

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Membership  examples  

memberOf  memberOf  

memberOf  

Membership  examples  

memberOf  

memberOf  

partOf  

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Membership  examples  

memberOf  memberOf   From  2006  

From  1997  

Membership  

•  Note  the  property  chain  of  memberOf  and  partOf  that  implies  memberOf  

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Time  indexed  membership  

•  Analogously  to  parthood,  we  can  have  the  variant  with  +me  intervals  

Containment  •  Parthood  and  membership  can  be  generalized  as  containment  rela+ons  •  Containment  rela+on  represents  a  general  cogni+ve  schema    •  A  containment  schema  involves  a  physical  or  metaphorical  

–  boundary  –  enclosed  area  or  volume,  or  –  excluded  area  or  volume  

•  A  containment  schema  can  have  addi+onal  op+onal  proper+es,  such  as  –  transi+vity  of  enclosure  (whereby  if  one  object  is  enclosed  by  a  second,  and  

that  by  a  third,  the  first  is  also  enclosed  by  the  third)  –  objects  inside  or  outside  the  boundary  –  protectedness  of  an  enclosed  object  –  the  restric+on  of  forces  inside  the  enclosure,  and  –  the  rela+vely  fixed  posi+on  of  an  enclosed  object  

•  We  model  containment  as  a  general  transi+ve  rela+on  between  objects  

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Containment  •  Time  indexed  containment  and  +me  indexed  con+anment  

with  +me  intervals  are  analogous  to  the  previous  ones  (+me  indexed  membership  and  parthood  with/without  +me  intervals).  

•  .  

Informa+on  objects  and  their  realiza+ons  

•  An  informa+on  object  is  a  piece  of  informa+on  independently  from  how  it  is  concretely  realized  

•  Examples  of  informa+on  objects  are  musical  composi+ons,  texts,  words,  pictures,  etc.  

•  An  informa+on  realiza+on  is  a  concrete  realiza+on  of  an  Informa+on  object  

•  Examples  of  informa+on  realiza+on  are  the  wriFen  document  containing  the  text  of  a  law,  an  mp3  file,  etc.  

•  The  dis+nc+on  between  informa+on  objects  and  their  realiza+ons  is  a  key  requirements  in  copyright  management  

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Modeling  Informa+on  Objects    

•  Depending  on  the  constraints  given  by  the  requirements,  modeling  informa+on  objects  and  their  realiza+ons  can  be  addressed  differently  

•  Do  we  want  to  temporarily  index  the  realiza+on  of  an  informa+on  object?  

•  Do  we  want  to  spa+ally  index  the  realiza+on  of  an  informa+on  object?  

Example  of  informa+on  objects  and  their  realiza+ons  

L’inferno  della  divina  commedia  di  

Dante  

isRealizedBy  

isRealizedBy  

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Examples  of  informa+on  objects  and  their  realiza+ons  

•  Pictures  of  a  party  are  realized  in  JPG  files  

Examples  of  informa+on  objects  and  their  realiza+ons  

•  The  realiza+ons  of  pictures  of  the  party  are  available  on  my  laptop  at  the  moment  I  download  the  aFachments  to  this  email  

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Informa+on  Realiza+on  

Time  and  Place  indexed  informa+on  realiza+on  

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Situa+on  

•  A  general  vocabulary  for  n-­‐ary  rela+ons  •  Situa+on  is  able  to  represent  reified  n-­‐ary  rela+ons,  by  defining  a  top-­‐level  rela+on  for  all  binary  projec+ons  of  the  n-­‐ary  rela+on  

•  A  way  somebody  conceives  a  state  of  affairs,  a  set  of  things,  a  fact  

•  All  +me  indexed  (and  place  indexed)  paFerns  we  have  seen  so  far  are  (in  principle)  subclass  of  Situa+on  

Situa+on  

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Descrip+on  

•  A  Descrip+on  is  represents  a  conceptualiza+on  •  It  can  be  thought  also  as  a  'descrip+ve  context'    •  It  uses  or  defines  concepts  in  order  to  create  a  view  on  a  'rela+onal  context'  (Situa+on)  out  of  a  set  of  data  or  observa+ons  

•  Examples  of  descrip+ons  are:  –  a  Plan  of  some  ac+ons  to  be  executed  by  agents  in  a  certain  way,  with  certain  parameters;    

–  a  Diagnosis  that  provides  an  interpreta+on  for  a  set  of  observed  en++es  

Descrip+on  

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Descrip+on  example  

Descrip+on  and  Situa+on  

•  A  situa+on  is  a  view,  consistent  with  ('sa+sfying')  a  descrip+on,  on  a  set  of  en++es.  

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Example  of  descrip+on  and  situa+on  

•  A  workflow  is  a  descrip+on,  its  execu+on  is  a  situa+on  sa+sfying  it