Abstract
Based on the category \(\mathbb{MAS}\) of base diagrams of Multiagent Systems (MAS) and morphisms between them, a transformation system for MAS can be established using the well known Double Pushout (DPO) Approach. An important part in the DPO approach is to find a pushout complement for a given situation. This is usualy done by checking the so called “gluing condition”. In this contribution a new approach for the pushout complement construction in the category \(\mathbb{MAS}\) is introduced. For illustration a simple robot example is presented.
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References
Pfalzgraf, J., Soboll, T.: On a General Notion of Transformation for Multiagent Systems. In: Proceedings of the Conference: Integrated Design and Process Technology, IDPT-2007. Society for Design and Process Science (2007), issn: 1090 9389
Ehrig, H., Pfender, M., Schneider, H.J.: Graph Grammars: an Algebraic Approach. In: Proceedings of FOCS, pp. 167–180. IEEE, Los Alamitos (1973)
Pfalzgraf, J.: On an Idea for Constructing Multiagent Systems (MAS) Scenarios. In: Lasker, G., Pfalzgraf, J. (eds.) Advances in Multiagent Systems, Robotics and Cybernetics: Theory and Practice. International Institute for Advanced Studies in Systems Research and Cybernetics, vol. 1 (2006)
Ehrig, H., Ehrig, K., Prange, U., Taentzer, G.: Fundamentals of Algebraic Graph Transformation, vol. 1. Springer, Heidelberg (2006)
Pfalzgraf, J.: On Logical Fiberings and Polycontextural Systems. In: Jorrand, P., Kelemen, J. (eds.) FAIR 1991. LNCS, vol. 535. Springer, Heidelberg (1991)
Pfalzgraf, J.: On Logical Fiberings and Automated Deduction in Many-valued Logics Using Gröbner Bases. In: Laita, L.M., Alonso, J.A., Roanes-Lozano, E. (eds.) Revista Real Academia de Ciencias, Serie A de Matemáticas (RACSAM), Special Issue on Symbolic Computation in Logic and Artificial Intelligence, vol. 98(1), Royal Academy of Sciences of Spain (2004)
Adámek, J., Herrlich, H., Strecker, G.E.: Abstract and Concrete Categories. The Joy of Cats. John Wiley and Sons Inc., Chichester (1990)
Wooldrige, M.J.: An Introduction to Multiagent Systems. and Sons LTD. John Wiley and Sons LTD, Chichester (2002)
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Soboll, T. (2008). On the Construction of Transformation Steps in the Category of Multiagent Systems. In: Autexier, S., Campbell, J., Rubio, J., Sorge, V., Suzuki, M., Wiedijk, F. (eds) Intelligent Computer Mathematics. CICM 2008. Lecture Notes in Computer Science(), vol 5144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85110-3_15
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DOI: https://doi.org/10.1007/978-3-540-85110-3_15
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