Verifying and Mapping the Mereotopology of Upper-Level Ontologies

Upper-level ontologies provide an account of the most basic, domain-independent, existing entities, such as time, space, objects, and processes. Ontology verification is the process by which a theory is checked to rule out unintended models, and possibly characterize missing intended ones. In this paper, we verify the core characterization of mereotopology of the Suggested Upper Merged Ontology (SUMO), and the mereology of the Descriptive Ontology for Linguistic and Cognitive Engineering (DOLCE), while relating their axiomatizations via ontology mapping. As a result, we propose the correction and addition of some axioms to the analyzed theories which eliminate unintended models and characterize missing ones. In addition, we show by formal means which is the relation existing between the axiomatization of mereology in both upper-level ontologies, and make available a modular representation in first-order logic of the SUMO characterization of mereotopology.

[1]  J. Euzenat,et al.  Ontology Matching , 2007, Springer Berlin Heidelberg.

[2]  Achille C. Varzi Spatial Reasoning and Ontology: Parts, Wholes, and Locations , 2007, Handbook of Spatial Logics.

[3]  Patrick J. Hayes,et al.  A Catalog of Temporal Theories , 2005 .

[4]  Brian A. Davey,et al.  An Introduction to Lattices and Order , 1989 .

[5]  Nicola Guarino,et al.  Formal Ontology and Information Systems , 1998 .

[6]  Nicola Guarino,et al.  Sweetening WORDNET with DOLCE , 2003, AI Mag..

[7]  Nicola Guarino,et al.  WonderWeb Deliverable D18 Ontology Library , 2003 .

[8]  Nicola Guarino,et al.  Evaluating ontological decisions with OntoClean , 2002, CACM.

[9]  Nicola Guarino,et al.  Sweetening Ontologies with DOLCE , 2002, EKAW.

[10]  Torsten Hahmann,et al.  Ontology Verification with Repositories , 2010, FOIS.

[11]  Stefano Borgo,et al.  Foundational Choices in DOLCE , 2009, Handbook on Ontologies.

[12]  Adam Pease,et al.  Linking Lixicons and Ontologies: Mapping WordNet to the Suggested Upper Merged Ontology , 2003, IKE.

[13]  Michael Grüninger,et al.  Mapping and Verification of the Time Ontology in SUMO , 2016, FOIS.

[14]  Adam Pease,et al.  Higher-order aspects and context in SUMO , 2012, J. Web Semant..

[15]  Barry Smith,et al.  SNAP and SPAN: Towards Dynamic Spatial Ontology , 2004, Spatial Cogn. Comput..

[16]  David Pearce,et al.  Synonymous theories and knowledge representations in answer set programming , 2012, Journal of computer and system sciences (Print).

[17]  Roberto Casati,et al.  Parts and Places: The Structures of Spatial Representation , 1999 .

[18]  Adam Pease,et al.  Towards a standard upper ontology , 2001, FOIS.

[19]  Herbert B. Enderton,et al.  A mathematical introduction to logic , 1972 .