Formal Concept Analysis Methods for Dynamic Conceptual Graphs
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.
KeywordsState Context Formal Context Formal Concept Analysis Action Context Conceptual Graph
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- 1.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, 1999Google Scholar
- 2.B. Baumgarten: Petri-Netze. Grundlagen und Anwendungen. Spektrum, Heidelberg, 1996.Google Scholar
- 4.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.Google Scholar
- 9.K. E. Wolff: Towards a Conceptual System Theory. In: Proc. Third International Conference on Computing Anticipatory Systems. American Institute of Physics, 2000.Google Scholar