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A conceptual theory of part-whole relations and its applications
Authors:Peter Gerstl  Simone Pribbenow
Affiliation:

a IBM Germany GmbH, Institute for Logic and Linguistics, Vangerowstr. 18, D-69115, Heidelberg, Germany

b University of Hamburg, Computer Science Department, Vogt-Kölln-Str. 30, D-22527, Hamburg, Germany

Abstract:This paper shows two applications of a theory of part-whole relations that has been introduced in 1] in two different areas: natural language semantics and modelling parts of physical objects. A short overview of the theory will be given, followed by two sections which present results in the two application areas. In Section 2 we provide an analysis of the domain of solid objects like devices, buildings and other artifacts of our daily life. We first examine in more detail the relevant part-whole relations in that domain. The second part describes how these relations can be represented and manipulated in a hybrid system. In Section 3 it will be shown that there is a strong and immediate correspondence between classes of part-whole-relations and syntactically or lexically motivated classes of genitive constructions. The two applications illustrate the generality of the theory as well as its usefulness for representing and reasoning about part-whole information in totally different domains.
Keywords:Commonsense knowledge  Compositional structure  Diagrammatic reasoning  Formal mereology  Knowledge representation  Natural language processing  Part-whole relations
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