Abstract
Knowledge base update has been given much attention in the AI literature. The best-known solution to this problem is Winslett’s PMA formalism. In this paper we propose different intuitions standing behind knowledge base update. Roughly speaking, we consider an update formula α not as an effect of an action to be performed, but rather as an observation about dynamically changing world made by an agent. This observation, if it is consistent with the knowledge base, is assumed to be just a new piece of information about the world. Otherwise, it is assumed that a single action has been performed and α is its, usually partial, effect.
We formalize our approach using Dijkstra’s semantics. We also examine the properties of our update operator with respect to Katsuno and Mendelzon’s postulates.
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References
W. Ackermann. Uutersuchungen über das Eliminantionsproblem der mathematischen Logik. Mathematische Annalen, 110, 390–413, 1935.
C. E. Alchourrón, P. Gärdenfors, D. Makinson. On the Logic of Theory Change: Partial Meet Contraction and Revision Functions. Journal of Symbolic Logic, 50, 1985, 510–530.
G. Brewka, J. Hertzberg. How to Do Things with Worlds: on Formalizing Actions and Plans. Journal of Logic and Computation. Vol. 3, No. 5, 1993, 517–532.
F. M. Brown. Boolean Reasoning. Kluwer Academic Publishers, 1990.
M-O. Cordier, P. Siegel. A Temporal Revision Model for Reasoning about World Change. In Int’l. Conference on Principles of Knowledge Representation and Reasoning, 732–739, Morgan Kaufmann, 1992.
E. W. Dijkstra, C. S. Scholten. Predicate Calculus and Program Semantics. Springer-Verlag, 1990.
P. Doherty, W. Lukaszewicz, E. Madalińska-Bugaj. The PMA and Relativizing Minimal Change for Action Update. Fundamenta Informaticae 44 (2000) 95–131.
P. Doherty, W. Lukaszewicz, A. Sza las. Computing Circumscription Revisited: A Reduction Algorithm. Journal of Automatic Reasoning, 18, 1997, 297–336.
A. Herzig. The PMA Revisited. In: Proc. of the 5th Int’l. Conference on Principles of Knowledge Representation and Reasoning, Morgan Kaufmann, 1996, 40–50.
G. Grahne. Updates and Counterfactuals. In Proc. of the 2nd Int’l. Conference on Principles of Knowledge Representation and Reasoning, Morgan Kaufmann, 1991, 269–276.
H. Katsuno, A. O. Mendelzon. On the Diffeerence between Updating a knowledge base and revising it. In: Proc. of the 2nd Int’l. Conference on Principles of Knowledge Representation and Reasoning, KR’91, Morgan Kaufmann, 1991, 387–395.
Madalińska-Bugaj, E. (dy1997) How to Solve Qualification and Ramification Using Dijkstra’s Semantics for Programming Languages, in: AI*IA-97: Advances in Artificial Intelligence, Proceedings of 5th Congress of the Italian Association for Artificial Intelligence, Springer-Verlag, Lecture Notes in Artificial Intelligence, 1321, 381–392, 1997.
B. Nebel. A Knowledge Level Analysis of Belief Revision. In: Proceedings of the 5th International Conference on Principles of Knowledge Representation and Reasoning, 1989, 301–311.
M. Winslett. Updating Logical Databases. Cambridge Tracks in Theoretical Computer Science. Cambridge University Press, 1990.
M. Winslett. Updating Logical Databases. In: D. Gabbay, A. Galton, J. A. Robinson (eds.).Handbook of Logic in Artificial Intelligence and Logic Programming. Vol. 4 (Epistemic and Temporal Reasoning), 1995, Oxford University Press, 133–174.
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ãukaszewicz, W., Madalińska-Bugaj, E. (2001). Lazy Knowledge Base Update. In: Monostori, L., Váncza, J., Ali, M. (eds) Engineering of Intelligent Systems. IEA/AIE 2001. Lecture Notes in Computer Science(), vol 2070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45517-5_8
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