Compositionality: ontology and mereology of domains

  • Authors:
  • Dines Bjørner;Asger Eir

  • Affiliations:
  • DTU Informatics, Techn. Univ. of Denmark, Kgs. Lyngby, Denmark;Maconomy, Copenhagen Ø, Denmark

  • Venue:
  • Concurrency, Compositionality, and Correctness
  • Year:
  • 2010

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Abstract

In this discursive paper we discuss compositionality of (i) simple entities, (ii) operations, (iii) events, and (iv) behaviours. These four concepts, (i)–(iv), together define a concept of entities. We view entities as “things” characterised by properties. We shall review some such properties. Mereology, the study of part-whole relations is then applied to a study of composite entities. We then speculate on compositionality of simple entities, operations, events and behaviours in the light of their mereologies. entities. We end the paper with some speculations on the rôle of Galois connections in the study of compositionality and domain mereology.