Spider diagrams: a diagrammatic reasoning system

Howse, J., Molina, F., Taylor, J., Kent, S. and Gil, J. (2001) Spider diagrams: a diagrammatic reasoning system Journal of Visual Languages and Computing, 12 (3). pp. 299-324. ISSN 1045-926X

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Abstract

Spider diagrams combine and extend Venn diagrams and Euler circles to express constraints on sets and their relationships with other sets. These diagrams can be used in conjunction with object-oriented modelling notations such as the Unified Modelling Language. This paper summarises the main syntax and semantics of spider diagrams. It also introduces inference rules for reasoning with spider diagrams and a rule for combining spider diagrams. This system is shown to be sound but not complete. Disjunctive diagrams are considered as one way of enriching the system to allow combination of diagrams so that no semantic information is lost. The relationship of this system of spider diagrams to other similar systems, which are known to be sound and complete, is explored briefly.

Item Type: Journal article
Uncontrolled Keywords: Diagrammatic reasoning; Visual formalisms
Subjects: G000 Computing and Mathematical Sciences > G100 Mathematics
DOI (a stable link to the resource): 10.1006/jvlc.2000.0210
Faculties: Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Visual Modelling
Depositing User: Helen Webb
Date Deposited: 13 Nov 2007
Last Modified: 14 Oct 2014 13:35
URI: http://eprints.brighton.ac.uk/id/eprint/3091

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