Organisation par implication/généralisation

Exo 1. Reliez les phrases suivantes par toutes leurs relations (non déductibles)

  1. d'implication (qui seront ici aussi des relations de généralisation vu que les phrases sont ici des formules existentielles conjonctives ; ceci a été illustré en section 1.4.2 du cours), et
  2. d'exclusion ("£").

[5 relations ?   0,25 point par relation entièrement correcte]
  A: `there are 60 cat that have for part 2 ^(paw that has for color a white)'
  B: `there are at least 60 cat that have for part 2 paw'
  C: `there are at least 50 cat that have for part 2 paw'
  D: `there is a cat'
  E: `there are 50 cat that have for part 2 paw'   (exactly 50)

                            D:`there is a cat'
                                   ⇑
                            C:`there are at least 50 cat     
                               that have for part 2 paw' 
                          ⇗        ⇑                           
E:`there are 50 cat that      £    B:`there are at least 60 cat that
   have for part 2 paw'               have for part 2 paw' 
                                   ⇑
                                   A:`there are 60 cat    
                                      that have for part 2          
                                      ^(paw that has for color a white)' 

Exemples de relations d'implication/généralisation/exclusion

Toutes les relations du graphe ci-dessous sont valides.

  `no Animal can be agent of a Process´
     £                    £
`at least 1 Bird    `at least 50% of Bird
 can be agent of        can be agent of
 a Flight´              a Flight´
                             
`1 Bird     `Tweety can be          `every Bird
 can be      agent of a Flight       can be
 agent of    that has for duration   agent of
 a Flight´   at least 0.5 Hour´      a Flight´
                
      `Tweety is agent of a Flight that
       has for duration at least 0.5 Hour´

Legend. £: exclusion; : implication; every sentence is in FE; relation types are in italics; concept types begin by an uppercase; the authors of terms, sentences and relations are not represented; in FE, "every" and "%" are for "observations" and imply "at least 1", whereas "any" is for "definitions" and does not imply "at least 1"; the distinction is important since observations can be false while definitions cannot (← agents can give any identifier they want to the types they create) and thus cannot be corrected or contradicted

Exemples de relations d'implication/généralisation/exclusion

Les deux relations d'implication du graphe ci-dessous sont générables par un moteur d'inférence si

  1. la BC spécifie (au moins) que `Sainte-Clotilde is part of Saint-Denis_de_La_Réunion which is part of La_Réunion',
    que `part has for type owl#Transitive_property',
    que `place has for type owl#Transitive_property', et que
    `  `^x has for place ^placeX which is part of ^placeY' => `^x has for place ^placeY'  ', et
  2. le moteur d'inférences interprête correctement (complètement) les 4 spécifications ci-dessus.

Si les points ci-dessus sont vérifiés (ou s'ils ne le sont pas et que le moteur d'inférences ne travaille ni avec
l'hypothèse du monde clos ni avec le Unique name assumption), il n'y a pas de relation d'exclusion ci-dessous.

Dans tous les cas, la phrase `a Double_room Hotel_room ...' ne généralise pas et n'implique pas `an Hotel_room ...'
à cause de la relation/précision "... with part Free Wifi" dans cette seconde phrase.
il n'y a pas non plus d'implication ni de généralisation dans l'autre sens.


                 `a Lodging with place La_Réunion´
                 ⇗        ⇖ 
`a Double_room Hotel_room                `an Hotel_room
 with part 2 Bed,                         with part at least 2 Bed,
 with place the Hotel_Mercure             with part Free Wifi,
   that has for name "Créolia" and        with name a Regular_expression "*a",
   that has for place                     with place
     Sainte-Clotilde, and                        Saint-Denis_de_La_Réunion and
 with cost 69$ per Night´                 with cost at most 100$ per Night´

Legend: same as in the previous page.