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Formal specification of beliefs in multi-agent systems. (English) Zbl 0937.68113

Summary: The goal of this paper is to present a logical framework for the formalization of agents’ mutual beliefs in a multi agent system. The approach is based on a combination of extensional specifications of beliefs and context-based (finite) presentation of the specifications by employing a particular class of multi context systems. The extensional specification provides a set-theoretic characterization of beliefs in terms of sets closed unser certain conditions. Its finite presentation is provided by using as constructors inference rules inside a multi context system. The resulting framework allows for capturing many relevant cases of real (not omniscient) agents, which are very common in multi-agent scenarios embedded in real world environments. In order to substantiate this claim, two multi agent scenarios are formally specified in detail in the specification framework.

MSC:

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
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[1] Cohen, Artificial Intelligence 42 pp 213– (1990)
[2] ; In 2nd International Conference on Principle of Knowledge Representation and Reasoning, ; ; Eds.; Morgan Kaufmann Publishers, 1991.
[3] ; 1st Int Conference on Multi-Agent Systems (ICMAS-95); 1996, pp 254-260.
[4] Knowledge and Belief; Cornell University Press: Ithaca, NY, 1962.
[5] Fagin, Artificial Intelligence 34 pp 39– (1988)
[6] Giunchiglia, Artificial Intelligence 65 pp 29– (1994)
[7] ; ; ; 13th International Joint Conference on Artificial Intelligence, Chambery, France, 1993, pp 548-554. Also IRST-Technical Report 9206-03, IRST: Trento, Italy.
[8] ; MAAMAW’96, number 1038 in Lecture Notes in Artificial Intelligence, Springer-Verlag, 1996, pp 1-12.
[9] ; In Intelligent Agents: Proceedings of 1994 Workshop on Agent Theories, Architectures, and Languages, and Eds., number 890 in Lecture Notes in Computer Science; Springer Verlag, 1995, pp 71-85. Also IRST-Technical Report 9312-01, IRST, Trento, Italy.
[10] ; 1st Int. Conference on Multi-Agent Systems (ICMAS-95), 1996, pp 57-64. Also IRST-Technical Report 9412-09, IRST: Trento, Italy. Commonsense-96, Third Symposium on Logical Formalizations of Commonsense Reasoning, Stanford University, 1996.
[11] AAAI Spring Symposium on Logical Formalizations of Commonsense Reasoning, 1991. Also IRST-Technical Report 9011-17, IRST, Trento, Italy.
[12] Notes on Formalizing Context. Unpublished, 1991.
[13] Lansky, Computational Intelligence 4 pp 319– (1988)
[14] A deduction model of belief; Pitman: London, 1986. · Zbl 0683.68080
[15] Natural Deduction?A proof theoretical study; Almquist and Wiksell: Stockhom, 1965.
[16] In Formalizing Common Sense?Papers by John McCarthy; Ed.; Ablex Publishing Corporation, 1990, pp 158-166.
[17] ; ; ; Reasoning about knowledge. MIT Press, 1995. · Zbl 0839.68095
[18] ; A Local Models Semantics for Modal Logics. Technical Report 9607-13; IRST: Trento, Italy, 1996.
[19] ; 1st Int Conference on Multi-Agent Systems (ICMAS-95), 1996, pp 312-319.
[20] AAAI-84, 1984, pp 198-202.
[21] In Formal Theories of the Commonsense World, ; Eds.; Ablex Publishing Corporation, 1985, pp 359-403.
[22] ; Computational Methods of Beliefs and the Semantic of Belief Sentences. Technical Note, SRI International: Menlo Park, CA, 1979.
[23] IJCAI’93 Workshop on Using Knowledge in its Context, Chambery, France, 1993, pp 39-49. Also IRST-Technical Report 9211-20, IRST: Trento, Italy.
[24] Third Conference on Theoretical Aspects of Reasoning about Knowledge; 1990, pp 85-96.
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