What Ontologies are Basis for semantic web and knowledge-based - - PowerPoint PPT Presentation

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What Ontologies are Basis for semantic web and knowledge-based - - PowerPoint PPT Presentation

ormal ethods roup Debugging of ALC -Ontologies via Minimal Model Generation Fabio Papacchini Renate A. Schmidt School of Computer Science The University of Manchester April 9, 2015 F. Papacchini, R. A. Schmidt Ontology Debugging


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φormal µethods γ roup

Debugging of ALC-Ontologies via Minimal Model Generation

Fabio Papacchini Renate A. Schmidt

School of Computer Science The University of Manchester April 9, 2015

  • F. Papacchini, R. A. Schmidt

Ontology Debugging April 9, 2015 1 / 7

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What Ontologies are

Basis for semantic web and knowledge-based systems Widely used in practice: BBC, NHS, Klappo, . . . A formalism for knowledge representation

  • defining terminology for the domain of interest
  • based on description logic
  • allowing for automated reasoning techniques
  • F. Papacchini, R. A. Schmidt

Ontology Debugging April 9, 2015 2 / 7

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What Ontologies are – Example

Pizza Ontology ∀hasTopping.VegetarianTopping ⊑ VegetarianPizza MozzarellaTopping ⊑ VegetarianTopping TomatoTopping ⊑ VegetarianTopping Margherita ⊑ ∀hasTopping.(MozzarellaTopping ⊔ TomatoTopping) Margherita ⊑ ∃hasTopping.MozzarellaTopping Margherita ⊑ ∃hasTopping.TomatoTopping . . . Reasoning on the ontology allows to derive implicit information such as Margherita ⊑ VegetarianPizza

  • F. Papacchini, R. A. Schmidt

Ontology Debugging April 9, 2015 3 / 7

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Ontology Debugging

Someone has to model the domain of interest. The resulting ontology is supposed to

  • be coherent (no concept is unsatisfiable)
  • model properly (implicit) domain knowledge

Ontology debugging aims to guarantee that an ontology

  • has these properties
  • keeps these properties when modified
  • F. Papacchini, R. A. Schmidt

Ontology Debugging April 9, 2015 4 / 7

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Underspecification

Pizza Ontology ∀hasTopping.VegetarianTopping ⊑ VegetarianPizza MozzarellaTopping ⊑ VegetarianTopping TomatoTopping ⊑ VegetarianTopping Margherita ⊑ ∀hasTopping.(MozzarellaTopping ⊔ TomatoTopping) Margherita ⊑ ∃hasTopping.MozzarellaTopping Margherita ⊑ ∃hasTopping.TomatoTopping . . . It is no longer true that Margherita ⊑ VegetarianPizza.

  • F. Papacchini, R. A. Schmidt

Ontology Debugging April 9, 2015 5 / 7

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Our Approach

Use model generation as tests in test-driven software development. Given an ontology O and a set Sα of properties, check if O | = α (O ∪ {¬α} | = ⊥) for all α ∈ Sα.

  • if O |

= α

– extraction of a model where ¬α is true – the model is an explanation of why O |

= α

– understanding the model allows to fix the ontology

  • if O |

= α then O is well specified w.r.t. α This approach can be used at any stage of the life cycle of an ontology.

  • F. Papacchini, R. A. Schmidt

Ontology Debugging April 9, 2015 6 / 7

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Our Approach – Example

Pizza Ontology ∀hasTopping.VegetarianTopping ⊑ VegetarianPizza MozzarellaTopping ⊑ VegetarianTopping TomatoTopping ⊑ VegetarianTopping Margherita ⊑ ∀hasTopping.(MozzarellaTopping ⊔ TomatoTopping) Margherita ⊑ ∃hasTopping.MozzarellaTopping Margherita ⊑ ∃hasTopping.TomatoTopping . . . Check O ∪ {(Margherita ⊓ ¬VegetarianPizza)(a)} | = ⊥ {Margherita} {Mozzarella, VegetarianTopping} {TomatoTopping}

  • F. Papacchini, R. A. Schmidt

Ontology Debugging April 9, 2015 7 / 7