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Upper Ontology Summit March 15, 2006

Upper Ontology Summit March 15, 2006. Michael Gruninger Semantic Technologies Laboratory University of Toronto. Goals.

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Upper Ontology Summit March 15, 2006

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  1. Upper Ontology SummitMarch 15, 2006 Michael Gruninger Semantic Technologies Laboratory University of Toronto

  2. Goals • As a prelude to creating a common subset ontology that is compatible with all of the linked upper ontologies, we need to develop methods to relate the existing upper ontologies to each other.

  3. Clashing Intuitions • We need to move from “We believe that some set of concepts in the ontologies are equivalent” to • “We can prove that some set of concepts in the ontologies are equivalent”

  4. Relationships among Ontologies • Theory T1 generalizes theory T2 if and only if T1 is definably interpretable in a theory T3 and T2 is a consistent extension of T3. • Problem: Given two theories T1 and T2, determine whether there exists a nontrivial theory that generalizes both. • This is a well-posed logical problem

  5. Requirements • What do we need so that we can prove that one ontology is a generalization of another? • the ontology must consist of a consistent set of axioms • the ontology must axiomatize its intended models • Evaluation of the relationships between ontologies is made using their axioms alone; it cannot rely on intended models of concepts that are not axiomatized. • If the axioms of an ontology are insufficient to capture their users' intended semantics, then there is little progress that can be made towards integration

  6. Verified Ontologies • Research Challenge: Given the axioms of an upper ontology, • prove that they are consistent • prove that they axiomatize their intended models • Ontologies with these properties exist • PSL (ISO 18629) is a modular, extensible ontology capturing concepts required for process specification

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