Abstract
Some agent architectures employ mental states such as belief, desire, goal, and intention. We also know that one often has a belief about someone else’s belief (nested belief), and one’s action is decided based on the nested belief. However, to the best of our knowledge, there is no concrete agent architecture that employs nested beliefs for decision. The reason is simple: we do not have a good model of nested belief change. Hence, interesting technological questions are whether such a model can be devised or not, how it can be implemented, and how it can be used. In a previous paper, we proposed an algorithm for nested beliefs based on observability and logically characterized its output. Here, we propose another algorithm with improved expressiveness and efficiency.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Appelt, D.E.: Planning English Sentences. Cambridge University Press, Cambridge (1985)
Ballim, A., Wilks, Y.: Artificial Believers, The Ascription of Belief. Lawrence Erlbaum Associates, Mahwah (1991)
Baral, C., Son, T.C.: Extending ConGolog to allowpartial ordering. In: Jennings, N.R. (ed.) ATAL 1999. LNCS (LNAI), vol. 1757, Springer, Heidelberg (2000)
Baral, C., Son, T.C.: Approximate reasoning about actions in presence of sensing and incomplete information. In: Proceedings of the International Logic Programming Symposium (1997)
Brafman, R.I., Tennenholtz, M.: Belief ascription and mental-level modelling. In: Proceedings of the Fourth International Conference on Principles of Knowledge Representation and Reasoning, pp. 87–98. Morgan Kaufmann, San Francisco (1994)
Davis, E.: Inferring ignorance from the locality of visual perception. In: Proceedings of the Seventh National Conference on Artificial Intelligence, pp. 786–790. Morgan Kaufmann, San Francisco (1988)
Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning About Knowledge. MIT Press, Cambridge (1995)
Ferber, J., Gutknecht, O.: Operational semantics of a role-based agent architecture. In: Jennings, N.R. (ed.) ATAL 1999. LNSC (LNAI), vol. 1757, Springer, Heidelberg (2000)
Friedman, N., Halpern, J.Y.: Modeling belief in dynamic systems. Part I: Foundations. Artificial Intelligence 95(2), 257–316 (1997)
Friedman, N., Halpern, J.Y.: Modeling belief in dynamic systems. Part II: Revision and update. Journal of Artificial Intelligence Research 10, 117–167 (1999)
Isozaki, H.: Reasoning about belief based on common knowledge of observability of actions. In: Proceedings of the International Conference on Multi-Agent Systems, pp. 193–200. MIT Press, Cambridge (1995)
Isozaki, H., Katsuno, H.: A semantic characterization of an algorithm for estimating others’ beliefs from observation. In: Proceedings of the National Conference on Artificial Intelligence, pp. 543–549. MIT Press, Cambridge (1996)
Isozaki, H., Katsuno, H.: A regressive belief estimation algorithm in multiagent environments (in Japanese). Transactions of Information Processing Society of Japan 38(3), 429–442 (1997)
Isozaki, H., Shoham, Y.: A mechanism for reasoning about time and belief. In: Proceedings of the International Conference on Fifth Generation Computer Systems, pp. 694–701. Ohmsha (1992)
Jaspars, J., Thijsse, E.: Fundamentals of partial modal logic. In: Partiality, Modality, and Nonmonotonicity, pp. 111–141. CSLI Publications (1996)
Katsuno, H., Mendelzon, A.O.: On the difference between updating a knowledge base and revising it. In: Belief Revision, pp. 183–203. Cambridge University Press, Cambridge (1992)
Konolige, K.: A Deduction Model of Belief. Morgan Kaufmann Publishers, San Francisco (1986)
Konolige, K.: Explanatory belief ascription. In: Proceedings of the Third Conference on Theoretical Aspects of Reasoning About Knowledge, pp. 57–72. Morgan Kaufmann, San Francisco (1990)
Kraus, S., Lehmann, D.: Knowledge, belief and time. Theoretical Computer Science 58, 155–174 (1988)
Lespérance, Y., Tam, K., Jenkin, M.: Reactivity in a logic-based robot programming framework. In: Jennings, N.R. (ed.) ATAL 1999. LNCS (LNAI), vol. 1757, Springer, Heidelberg (2000)
Levesque, H.J., Reiter, R., Lespérance, Y., Lin, F., Scherl, R.B.: Golog:A logic programming language for dynamic domains. Journal of Logic Programming 31, 59–84 (1997)
Lomuscio, A.: An algorithmic approach to knowledge evolution. Artificial Intelligence for Engineering Design, Analysis and Manufacturing 13(2) (1992)
Lomuscio, A., Ryan, M.: A spectrum of modes of knowledge sharing between agents. In: Jennings, N.R. (ed.) ATAL 1999. LNCS (LNAI), vol. 1757, Springer, Heidelberg (2000)
Moore, R.C.: A formal theory of knowledge and action. In: Hobbs, J.R., Moore, R.C. (eds.) Formal Theories of the Commonsense World, ch. 9, pp. 319–358. Ablex Publishing, Greenwich (1985)
Pynadath, D.V., Tambe, M., Chauvat, N., Cavedon, L.: Toward teamoriented programming. In: Jennings, N.R. (ed.) ATAL 1999. LNCS (LNAI), vol. 1757, Springer, Heidelberg (2000)
Rao, A.S.: Decision procedures for propositional linear-time belief desire-intention logics. In: Tambe, M., Müller, J., Wooldridge, M.J. (eds.) IJCAI-WS 1995 and ATAL 1995. LNCS, vol. 1037, pp. 33–48. Springer, Heidelberg (1996)
Russel, S., Norvig, P.: Artificial Intelligence: A Modern Approach. Prentice Hall, Englewood Cliffs (1995)
Scherl, R.B., Levesque, H.J.: The frame problem and knowledge-producing actions. In: Proceedings of the National Conference on Artificial Intelligence, pp. 689–695 (1993)
Shoham, Y.: Agent-oriented programming. Artificial Intelligence 60, 51–92 (1993)
Sripada, S.M.: A metalogic programming approach to reasoning about time in knowledge bases. In: Proceedings of the International Joint Conference on Artificial Intelligence, pp. 860–865. Morgan Kaufmann, San Francisco (1993)
van der Meyden, R.: Common knowledge and update in finite environments. I (extended abstract). In: Proceedings of the Fifth Conference on Theoretical Aspects of Reasoning About Knowledge, pp. 225–242. Morgan Kaufmann, San Francisco (1994)
van der Meyden, R.: Mutual belief revision. In: Proceedings of the Conference on Principles of Knowledge Representation and Reasoning, pp. 595–606. Morgan Kaufmann, San Francisco (1994)
van Eijk, R.M., de Boer, F.S., van der Hoek, W., Meyer, J.-J.C.: Open multi-agent systems: Agent communication and integration. In: Jennings, N.R. (ed.) ATAL 1999. LNCS (LNAI), vol. 1757, Springer, Heidelberg (2000)
van Linder, B., van der Hoek, W., Meyer, J.-J.C.: Seeing is believing—and so are hearing and jumping. In: Dreschler-Fischer, L., Nebel, B. (eds.) KI 1994. LNCS, vol. 861, pp. 402–413. Springer, Heidelberg (1994)
Vidal, J.M., Durfee, E.H.: Recursive agent modelling using limited rationality. In: Proceedings of the International Conference on Multi-Agent Systems. MIT Press, Cambridge (1995)
Wagner, G.: A logical and operational model of scalable knowledge- and perception-based agents. In: Perram, J., Van de Velde, W. (eds.) MAAMAW 1996. LNCS, vol. 1038. Springer, Heidelberg (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Isozaki, H., Katsuno, H. (2000). Observability-based Nested Belief Computation for Multiagent Systems and Its Formalization. In: Jennings, N.R., Lespérance, Y. (eds) Intelligent Agents VI. Agent Theories, Architectures, and Languages. ATAL 1999. Lecture Notes in Computer Science(), vol 1757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719619_3
Download citation
DOI: https://doi.org/10.1007/10719619_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67200-5
Online ISBN: 978-3-540-46467-9
eBook Packages: Springer Book Archive