Subsumption in KL-ONE is undecidable
Proceedings of the first international conference on Principles of knowledge representation and reasoning
Data & Knowledge Engineering
Decidability of SHIQ with complex role inclusion axioms
Artificial Intelligence
The Description Logic Handbook
The Description Logic Handbook
Biomedical ontologies: what part-of is and isn't
Journal of Biomedical Informatics - Special issue: Biomedical ontologies
On the transitivity of functional parthood
Applied Ontology
Representing and reasoning over a taxonomy of part-whole relations
Applied Ontology - Ontological Foundations of Conceptual Modelling
Reasoning about Relations with Dependent Types: Application to Context-Aware Applications
ISMIS '09 Proceedings of the 18th International Symposium on Foundations of Intelligent Systems
Towards an Ontological Modeling with Dependent Types: Application to Part-Whole Relations
ER '09 Proceedings of the 28th International Conference on Conceptual Modeling
Towards Ontological Correctness of Part-whole Relations with Dependent Types
Proceedings of the 2010 conference on Formal Ontology in Information Systems: Proceedings of the Sixth International Conference (FOIS 2010)
Part-Whole relations in object-role models
OTM'06 Proceedings of the 2006 international conference on On the Move to Meaningful Internet Systems: AWeSOMe, CAMS, COMINF, IS, KSinBIT, MIOS-CIAO, MONET - Volume Part II
Using a dependently-typed language for expressing ontologies
KSEM'11 Proceedings of the 5th international conference on Knowledge Science, Engineering and Management
Representing mereotopological relations in OWL ontologies with ONTOPARTS
ESWC'12 Proceedings of the 9th international conference on The Semantic Web: research and applications
Representing and reasoning over a taxonomy of part-whole relations
Applied Ontology - Ontological Foundations of Conceptual Modelling
On the transitivity of functional parthood
Applied Ontology
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Parthood, componenthood, and containment relations are commonly assumed in biomedical ontologies and terminology systems, but are not usually clearly distinguished from another. This paper contributes towards a unified theory of parthood, componenthood, and containment relations. Our goal in this is to clarify distinctions between these relations as well as principles governing their interrelations. We first develop a theory of these relations in first order predicate logic and then discuss how description logics can be used to capture some important aspects of the first order theory.