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A New Language for the Visualization of Logic and reasoning

Stapleton, Gem and Thompson, Simon and Fish, Andrew and Howse, John and Taylor, John (2005) A New Language for the Visualization of Logic and reasoning. In: Cox, Philip and Smedley, Trevor, eds. Proceedings of the 2005 International Workshop on Visual Languages and Computing. Knowledge Systems Institute, pp. 287-292. ISBN 1-891706-17-9. (KAR id:14261)

Abstract

Many visual languages based on Euler diagrams have emerged for expressing relationships between sets. The expressive power of these languages varies, but the majority can only express statements involving unary relations and, sometimes, equality. We present a new visual language called Visual First Order Logic (VFOL) that was developed from work on constraint diagrams which are designed for software specification. VFOL is likely to be useful for software specification, because it is similar to constraint diagrams, and may also fit into a Z-like framework. We show that for every First Order Predicate Logic (FOPL) formula there exists a semantically equivalent VFOL diagram. The translation we give from FOPL to VFOL is natural and, as such, VFOL could also be used to teach FOPL, for example.

Item Type: Book section
Additional information: Published as a part of the Proceedings of the Eleventh International Conference on Distributed Multimedia Systems.
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 18:02 UTC
Last Modified: 16 Nov 2021 09:52 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/14261 (The current URI for this page, for reference purposes)

University of Kent Author Information

Stapleton, Gem.

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CReDIT Contributor Roles:

Thompson, Simon.

Creator's ORCID: https://orcid.org/0000-0002-2350-301X
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