A Uniform Tableaux-Based Approach to Concept Abduction and Contraction in ALN

We present algorithms based on truth-prefixed tableaux to solve both Concept Abduction and Contraction in ALN DL. We also analyze the computational complexity of the problems, showing that the upper bound of our approach meets the complexity lower bound. The work is motivated by the need to offer a uniform approach to reasoning services useful in semantic-based matchmaking scenarios.

[1]  Bernhard Nebel,et al.  Terminological Reasoning is Inherently Intractable , 1990, Artif. Intell..

[2]  R. Smullyan First-Order Logic , 1968 .

[3]  Francesco M. Donini,et al.  Concept Abduction and Contraction in Description Logics , 2003, Description Logics.

[4]  Francesco M. Donini,et al.  A system for principled matchmaking in an electronic marketplace , 2003, WWW '03.

[5]  Bernhard Nebel,et al.  An Empirical Analysis of Optimization Techniques for Terminological Representation Systems, or Making KRIS Get a Move On , 1992, KR.

[6]  Ian Horrocks,et al.  From SHIQ and RDF to OWL: the making of a Web Ontology Language , 2003, J. Web Semant..

[7]  Francesco M. Donini,et al.  Exptime Tableaux for ALC , 2000, Description Logics.

[8]  Ian Horrocks,et al.  Using an Expressive Description Logic: FaCT or Fiction? , 1998, KR.

[9]  Werner Nutt,et al.  The Complexity of Concept Languages , 1997, KR.

[10]  Claudio Bartolini,et al.  Semantic web support for the business-to-business e-commerce lifecycle , 2002, WWW '02.

[11]  James A. Reggia,et al.  Diagnostic Expert Systems Based on a Set Covering Model , 1983, Int. J. Man Mach. Stud..

[12]  Diego Calvanese Reasoning with Inclusion Axioms in Description Logics: Algorithms and Complexity , 1996, ECAI.

[13]  Francesco M. Donini,et al.  Abductive Matchmaking using Description Logics , 2003, IJCAI.

[14]  Ian Horrocks,et al.  Ontologies and Schema Languages on the Web , 2003, Spinning the Semantic Web.

[15]  Ian Horrocks,et al.  Ontology Reasoning in the SHOQ(D) Description Logic , 2001, IJCAI.

[16]  Peter F. Patel-Schneider,et al.  A Semantics and Complete Algorithm for Subsumption in the CLASSIC Description Logic , 1993, J. Artif. Intell. Res..

[17]  Fiora Pirri,et al.  Propositional Abduction in Modal Logic , 1995, Log. J. IGPL.

[18]  Ian Horrocks,et al.  A Software Framework for Matchmaking Based on Semantic Web Technology , 2004, Int. J. Electron. Commer..

[19]  Werner Nutt,et al.  A Refined Architecture for Terminological Systems: Terminology = Schema + Views , 1998, Artif. Intell..

[20]  Peter Gärdenfors,et al.  Knowledge in Flux , 1988 .