Abstract
The objective of this contribution is to establish a 1-1 correspondence between an existing biological model of so-called tripartite synapses in biological brains and a corresponding autonomous multiagent system (MAS) in an unexplored environment. The logical part of the mMAS model is based on the concept of logical fiberings – systems of distributed logics for MAS. Two important notions, intention and rejection, will be subject of the development of a suitable mathematical formalization – the notion of space- and time dependent logical formulas will play a basic role. Our new general model for MAS is based on category theory and general categorical semantics. Of further basic interest in MAS is the issue of learning with respect to artificial neural network applications to agent systems and robotics. According to the cybernetic principle of feasibility, it is in the center of our work to achieve implementations of autonomous robots based on the proposed biomimetic MAS model.
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References
Günther, G.: Cybernetic Ontology and Transjunctional Operations. Biological Computer Lab. Publ., vol. 68 (Urbana, Ill.), publ. in Self-organizing Systems 1962, Spartan Books, Washington, pp. 313–392 (1962)
McCulloch, W., Iberall, A.: The organizing principle of complex living systems. Transactions of the ASME 6, 290–294 (1969)
Mitterauer, B.: An interdisciplinary approach towards a theory of consciousness. BioSystems 45, 99–121 (1998)
Mitterauer, B.: Some principles for conscious robots. Journal of Intelligent Systems 10, 27–56 (2000)
Mitterauer, B.: The loss of self-boundaries: towards a neuromolecular theory of schizophrenia. BioSystems 72, 209–215 (2003)
Mitterauer, B., Kopp, C.: The self-composing brain: Towards a glial-neuronal brain theory. Brain and Cognition 51, 357–367 (2003)
Mitterauer, B., Leitgeb, H., Reitboeck, H.: The neuro-glial synchronization hypothesis. Recent Research Development in Biological Cybernetics 1, 137–155 (1996)
Pfalzgraf, J.: On a general notion of a hull. In: Pfalzgraf, J., Wang, D. (eds.) Automated Practical Reasoning. Texts and Monographs in Symbolic Computation. Springer, Wien (1994)
Pfalzgraf, J.: On geometric and topological reasoning in robotics. Annals of Mathematics and Artificial Intelligence 19, 279–318 (1997)
Pfalzgraf, J.: The concept of logical fiberings and fibered logical controllers. In: Dubois, D.M. (ed.) Proceedings CASYS 2000, Liège, Belgium, August 7-12. American Institute of Physics. AIP Conference Proceedings, vol. 573, pp. 683–693 (2001)
Pfalzgraf, J.: Modeling connectionist networks: categorical, geometric aspects (towards homomorphic learning). In: Dubois, D.M. (ed.) Proceedings CASYS 2003, Liège, Belgium, August 11-16. American Institute of Physics. AIP Conference Proceedings, vol. 718 (2004)
Pfalzgraf, J.: On Logical Fiberings and Automated Deduction in Many-valued Logics Using Gröbner Bases. Revista Real Academia de Ciencias, Serie A de Matemáticas, RACSAM 98 (2004)
Pfalzgraf, J.: On categorical and logical modeling in multiagent systems. In: Lasker, G.E., Dubois, D. (eds.) Anticipative and Predictive Models in Systems Science, vol. 1, pp. 93–98. IIAS, Windsor (2005) ISBN 1894613-49-X
Smit, A., Syed, N., Schaap, D.: A glial-derived acetylcholin-binding protein that modulates synaptic transmission. Nature 411, 261–268 (2001)
Wooldridge, M.: An Introduction to Multiagent Systems. John Wiley & Sons, Chichester (2002)
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Pfalzgraf, J., Mitterauer, B. (2005). Towards a Biomathematical Model of Intentional Autonomous Multiagent Systems. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2005. EUROCAST 2005. Lecture Notes in Computer Science, vol 3643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556985_76
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DOI: https://doi.org/10.1007/11556985_76
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