Stapleton, G. and Howse, J. and Taylor, J. and Thompson, Simon (2004) The Expressiveness of Spider Diagrams. Journal of Logic and Computation, 14 (6). pp. 857-880. ISSN 0955-792X.
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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.
|Uncontrolled keywords:||spider diagram first order monadic logic equality model theory|
|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:||25 Jun 2012 14:45|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/14057 (The current URI for this page, for reference purposes)|
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