zbMATH — the first resource for mathematics

Formal theories of knowledge in AI and robotics. (English) Zbl 0596.68061
Theories of knowledge representation are described in abstract fashions. First, the theory of epistemic logic (EL) is briefly reviewed, distinguishing it from ordinary logics in an operator K called the knowledge operator (Kp, for instance, is read ”The agent knows a fact p.”) and in the semantics of the logic. Special axioms and rules are provided involving the operator K. Dynamic logic (DL) similar to EL is also introduced in order to describe actions. Then two approaches are introduced, which are necessary in dealing with knowledge and actions required. One is the interpreted-symbolic-structures approach and the other the situated-automata approach. In the latter approach, an intelligent system considered is regarded as an automaton which recognizes its surroundings and gives necessary responses. In both approaches, EL and DL play fundamental roles. It is mentioned that some of the ideas described are already being applied to the author’s robot research.
Reviewer: Y.Sakai

68T99 Artificial intelligence
68T05 Learning and adaptive systems in artificial intelligence
68Q65 Abstract data types; algebraic specification
Full Text: DOI
[1] Barwise, Jon and Perry, John,Situations and Attitudes. MIT Press, Cambridge, Massachusetts, 1983. · Zbl 0946.03007
[2] Brady, J. Michael (ed.),Computer Vision, North Holland Publishing Company, Amsterdam, The Netherlands, 1981. · Zbl 0474.68095
[3] Dennett, Daniel C,Brainstorms, Bradford Books, Cambridge, Massachusetts, 1978.
[4] Fodor, Jerry A,The Language of Thought, Thomas Y. Crowell Company, New York, 1975.
[5] Halpern, Joseph and Moses, Y. O., ”Knowledge and common knowledge in a distributed environment,”Proceedings of the 3rd ACM Conference on Principles of Distributed Computing, pp. 50–61, 1984; a revised version appears as IBM RJ 4421, 1984. · Zbl 0699.68115
[6] Harel, David.First Order Dynamic Logic (Lecture Notes in Computer Science, Vol. 68), Springer-Verlag, 1978. · Zbl 0403.03024
[7] Hayes, Patrick, ”In Defence of Logic,”Proceedings of the Seventh International Joint Conference on Artificial Intelligence, Vancouver, B. C., pp. 559–565, 1981.
[8] Hintikka, J.,Knowledge and Belief, Cornell University Press, Ithaca, 1962.
[9] Hughes, G. E. and Cresswell, M. J.,An Introduction to Modal Logic, Methuen and Co. Ltd., London, 1968. · Zbl 0205.00503
[10] Konologe, Kurt, ”A Deduction Model of Belief and its Logics,”Technical Note, No. 326, Artificial Intelligence Center, SRI International, Menlo Park, CA, August, 1984.
[11] Kripke, Paul, ”Semantical Analysis of Modal Logic,”Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 9, pp. 67–96, 1963. · Zbl 0118.01305 · doi:10.1002/malq.19630090502
[12] Levesque, Hector J., ”A Logic of Implicit and Explicit Belief,”Proceedings of the National Conference on Artificial Intelligence, pp. 198–202, 1984.
[13] Marr, David,Vision, W. H. Freeman and Company, San Francisco, California, 1982.
[14] Moore, Robert C., ”A Formal Theory of Knowledge and Action,” inFormal Theories of the Commonsense World (Jerry R. Hobbs and Robert C. Moore eds.), Ablex Publishing Company, Norwood, New Jersey, 1985.
[15] Nilsson, Nils J., ”Shakey the Robot,”Technical Note, No. 323, Artificial Intelligence Center, SRI International, Menlo Park, CA, April, 1984.
[16] Pratt, Vaughan R., ”Semantical Considerations on Floyd-Hoare Logic,”Proceedings of the 17th IEEE Symposium on Foundations of Computer Science, pp. 109–121, October, 1976.
[17] Rosenschein, Stanley J., ”Plan Synthesis: A Logical Perspective,”Proceeding of the Seventh International Joint Conference on Artificial Intelligence, Vancouver, B. C., pp. 331–337, 1981.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.