Diagrammatic Representation and Inference
Volume 2317 of the series Lecture Notes in Computer Science pp 4660
Using Animation in Diagrammatic Theorem Proving
 Daniel WintersteinAffiliated withDivision of Informatics, University of Edinburgh
 , Alan BundyAffiliated withDivision of Informatics, University of Edinburgh
 , Corin GurrAffiliated withDivision of Informatics, University of Edinburgh
 , Mateja JamnikAffiliated withSchool of Computer Science, University of Birmingham
Abstract
Diagrams have many uses in mathematics, one of the most ambitious of which is as a form of proof. The domain we consider is real analysis, where quantification issues are subtle but crucial. Computers offer new possibilities in diagrammatic reasoning, one of which is animation. Here we develop animated rules as a solution to problems of quantification. We show a simple application of this to constraint diagrams, and also how it can deal with the more complex questions of quantification and generalisation in diagrams that use more specific representations. This allows us to tackle difficult theorems that previously could only be proved algebraically.
 Title
 Using Animation in Diagrammatic Theorem Proving
 Book Title
 Diagrammatic Representation and Inference
 Book Subtitle
 Second International Conference, Diagrams 2002 Callaway Gardens, GA, USA, April 18–20, 2002 Proceedings
 Pages
 pp 4660
 Copyright
 2002
 DOI
 10.1007/3540460373_5
 Print ISBN
 9783540435617
 Online ISBN
 9783540460374
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 2317
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 Additional Links
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 Editors

 Mary Hegarty ^{(1)}
 Bernd Meyer ^{(2)}
 N. Hari Narayanan ^{(3)}
 Editor Affiliations

 1. University of California
 2. School of Computer Science and Software Engineering, Monash University
 3. Department of Computer Science and Software Engineering, Auburn University
 Authors

 Daniel Winterstein ^{(6)}
 Alan Bundy ^{(6)}
 Corin Gurr ^{(6)}
 Mateja Jamnik ^{(7)}
 Author Affiliations

 6. Division of Informatics, University of Edinburgh, 80 South Bridge, EH11HN, Edinburgh, UK
 7. School of Computer Science, University of Birmingham, B15 2TT, Birmingham, UK
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