The Expressiveness of Spider Diagrams Augmented with Constants

Stapleton, Gem and Howse, John and Taylor, John and Thompson, Simon (2004) The Expressiveness of Spider Diagrams Augmented with Constants. In: Visual Languages and Human Centric Computing, 2004 IEEE Symposium on. IEEE pp. 90-98. ISBN 0-7803-8696-5. (Full text available)

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http://dx.doi.org/10.1109/VLHCC.2004.57

Abstract

Spider diagrams are a visual language for expressing logical statements. Spiders represent the existence of elements and contours denote sets. Several sound and complete spider diagram systems have been developed and it is known that the spider diagram language is equivalent in expressive power to monadic first order logic with equality. However, these sound and complete spider diagram systems do not contain syntactic elements analogous to constants in first order predicate logic. We extend the spider diagram language to include constant spiders which represent specific individuals and give formal semantics for the extended diagram language. We then prove that this extended system is equivalent in expressive power to the language of spider diagrams without constants.

Item Type: Conference or workshop item (Paper)
Uncontrolled keywords: expressiveness spider diagrams constants existential universal
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Faculties > Science Technology and Medical Studies > School of Computing > Theoretical Computing Group
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 18:01
Last Modified: 20 Jun 2014 11:44
Resource URI: http://kar.kent.ac.uk/id/eprint/14077 (The current URI for this page, for reference purposes)
ORCiD (Stapleton, Gem):
ORCiD (Howse, John):
ORCiD (Taylor, John):
ORCiD (Thompson, Simon):
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