Abstract
Conceptual Graphs (CG), originally developed for static data representation have been extended to cope with dynamical aspects. This paper adresses two questions connected with the topic: How can implicational knowledge about a system’s states and behaviour be derived from a dynamic CG description and how can the CG specification process be supported by automatic or semiautomatic algorithms? Based on Formal Concept Analysis (FCA) we propose methods for both problems. Guided by an example we introduce two kinds of formal contexts containig the dynamic system’s information: state contexts and action contexts. From these the complete implicational knowledge can be derived. Combining the techniques of attribute exploration and determination of a formal context’s concepts, we demonstrate a procedure which interactively asks for the validity of implications and from this information designs a dynamic CG system with the desired properties.
Supported by DFG/Graduiertenkolleg.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.F. Baget, D. Genest, M.L. Mugnier: A Pure Graph-Based Solution to the SCG-1 Initiative. In: W. Tepfenhart, W. Cyre (eds.): Conceptual Structures: Standards and Practices, LNAI 1640, Springer, Berlin-Heidelberg, pp. 335–376, 1999
B. Baumgarten: Petri-Netze. Grundlagen und Anwendungen. Spektrum, Heidelberg, 1996.
A. Chella, M. Frixione, S. Gaglio: Towards a Conceptual Representation of Actions. In: E. Lamina, P. Mello (eds.): AI*IA 99, LNAI 1792, Springer, Berlin-Heidelberg, pp. 333–344, 2000
H. S. Delugach: Dynamic Assertion and Retraction of Conceptual Graphs. In: Eileen C. Way (ed.): Proc. Sixth Annual Workshop on Conceptual Graphs. SUNY Binghamton, Binghamton, New York, pp. 15–26, 1991.
B. Ganter, R. Wille: Formal Concept Analysis: Mathematical Foundations. Springer, Berlin-Heidelberg 1999.
G. W. Mineau: From Actors to Processes: The representation of Dynamic Knowledge Using Conceptual Graphs. In: M.L. Mugnier, M. Chein (eds.): Conceptual Structures: Theory, Tools and Application, LNAI 1453, Springer, Berlin-Heidelberg, pp. 198–208, 1998.
J. F. Sowa: Conceptual Structures: Information Processing in Mind and Machine. Addison-Wesley, Reading, MA, 1984
P. H. Starke: Analyse von Petri-Netz-Modellen. Teubner, Stuttgart, 1990.
K. E. Wolff: Towards a Conceptual System Theory. In: Proc. Third International Conference on Computing Anticipatory Systems. American Institute of Physics, 2000.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ganter, B., Rudolph, S. (2001). Formal Concept Analysis Methods for Dynamic Conceptual Graphs. In: Delugach, H.S., Stumme, G. (eds) Conceptual Structures: Broadening the Base. ICCS 2001. Lecture Notes in Computer Science(), vol 2120. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44583-8_11
Download citation
DOI: https://doi.org/10.1007/3-540-44583-8_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42344-7
Online ISBN: 978-3-540-44583-8
eBook Packages: Springer Book Archive