The expressiveness of spider diagrams

Stapleton, Gem, Howse, John, Taylor, John and Thompson, Simon (2004) The expressiveness of spider diagrams Journal of Logic and Computation, 14 (6). pp. 857-880. ISSN 0955-792X

Full text not available from this repository.

Abstract

Spider diagrams are a visual language for expressing logical statements. In this paper we identify a well known fragment of first order predicate logic, that we call MFOL=, equivalent in expressive power to the spider diagram language. The language MFOL= is monadic and includes equality but has no constants or function symbols. To show this equivalence, in one direction, for each diagram we construct a sentence in MFOL= that expresses the same information. For the more challenging converse we prove that there exists a finite set of models for a sentence S that can be used to classify all the models for S. Using these classifying models we show that there is a diagram expressing the same information as S.

Item Type:	Journal article
Uncontrolled Keywords:	Spider diagrams; expressiveness; monadic logic; model theory
Subjects:	G000 Computing and Mathematical Sciences
DOI (a stable link to the resource):	10.1093/logcom/14.6.857
Faculties:	Faculty of Science and Engineering > School of Computing, Engineering and Mathematics > Visual Modelling
Depositing User:	Converis
Date Deposited:	11 Mar 2011 09:30
Last Modified:	20 Apr 2015 15:54
URI:	http://eprints.brighton.ac.uk/id/eprint/8158

Actions (login required)

View Item

Downloads