The Expressiveness of Spider Diagrams Augmented with Constants

Stapleton, Gem, Howse, John, Taylor, John, Thompson, Simon (2004) The Expressiveness of Spider Diagrams Augmented with Constants. In: 2004 IEEE Symposium on Visual Languages / Human Centered Computing 2004. . pp. 90-98. IEEE ISBN 0-7803-8696-5. (doi: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)
DOI/Identification number:	10.1109/VLHCC.2004.57
Uncontrolled keywords:	expressiveness spider diagrams constants existential universal
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions:	Faculties > Sciences > School of Computing > Theoretical Computing Group
Depositing User:	Mark Wheadon
Date Deposited:	24 Nov 2008 18:01 UTC
Last Modified:	28 May 2019 13:51 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/14077 (The current URI for this page, for reference purposes)