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Journal of Logic and Computation 2005 15(6):975-1008; doi:10.1093/logcom/exi041
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Vol. 15 No. 6, © The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

A Decidable Constraint Diagram Reasoning System

Gem Stapleton, John Howse and John Taylor

Visual Modelling Group, University of Brighton, Brighton, BN2 4GJ, UK Email: g.e.stapleton{at}brighton.ac.uk, john.howse{at}brighton.ac.uk, john.taylor{at}brighton.ac.uk

Constraint diagrams are a visual notation designed for use by software engineers to formally specify information systems. In this paper we formalize a fragment of the constraint diagram language. A set of reasoning rules are defined and we prove that this set is both sound and complete. Given constraint diagrams D1 and D2 such that D2 is a semantic consequence of D1, to prove completeness we construct a proof of D2 from D1. A decision procedure can be extracted from this proof construction process and it follows that the system is decidable.

Keywords: Visual logic, formal methods, diagrammatic reasoning

Received 25 January 2005.


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