Abstract
We argue that Abduction is useful for the problem of Knowledge Assimilation and use it to study the problems of Belief Revision and Truth Maintenance (TM) associated with the task of assimilating a series of observations Q1,...Qn. The close connection between Abduction and TM shown in [Reiter&de Kleer87] is explored further to provide a non-monotonic extension of ATMS that incorporates a dependency-directed backtracking mechanism thus combining the capabilities of ATMS and Doyle's TMS. This TM system has a well-defined semantics inherited from the semantics for abduction which is defined through a generalization of stable models based on autoepistemic logic.
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References
Brewka G., Preferred Subtheories: An Extended Logical Framework for Default Reasoning, in Proceedings IJCAI-89 (1989) p 1043.
Cox P.T. and Pietrzykowski T., Causes for Events: Their Computation and Applications, in Proceedings CADE-86, p 608.
Charniak E. and Goldman R., A Semantics for Probabilistic Quantifier-Free First-Order Languages, with Particular Application to Story Understanding, in Proceedings IJCAI-89 (1989) p1074.
Console L., Dupre D.T. and Torasso P., A Theory of Diagnosis for Incomplete Causal Models, in Proceedings IJCAI89 (1989) p. 1311.
de Kleer J., An Assumption-Based TMS, Artificial Intelligence 28 (1986), p 127.
de Kleer J., A General Labelling Algorithm for Assumption-Based Truth Maintenance, in Proceedings of AAAI-88 (1988) p. 188.
Doyle J., A Truth Maintenance System, Artificial Intelligence 12 (1979), p 231.
Dressler O., Extending the basic ATMS, in Proceedings of ECAI-88 (1988).
Eshghi K., Abductive Planning with Event Calculus, in Proceedings 5th International Conference on Logic Programming (1988), p 562.
Eshghi K. and Kowalski R.A., Abduction Compared with Negation by Failure, in Proceedings 6th International Conference on Logic Programming (1989), p 234.
Evans C. and Kakas A.C., Hypothetico-Deductive Reasoning, Imperial College preprint, (1990).
Elkan, A Rational Reconstruction of Non-Monotonic Truth Maintenance Systems, Artificial Intelligence 43 (1990), p 219.
Finger J.J. and Genesereth M.R., RESIDUE: A Deductive Approach to Design Synthesis, Stanford University Report no. CS-85-1035. (1985).
Fujiwara Y. and Honiden S., Relating the TMS to Autoepistemic Logic, in Proceedings IJCAI-89 (1989) p 1199.
Gelfond M., and Lifschitz V., The Stable Model Semantics for Logic Programming, in Proceedings 5th International Conference on Logic Programming (1988), p 1070.
Giordano L. and Martelli A., An Abductive Characterization of the TMS, in Proceedings of the nineth European Conference on Artificial Intelligence, ECAI-90, Stockholm, (1990) p 308.
Goebel R.G., Goodwin S.D>, Applying Theory Formation to the Planning Problem, in The Frame Problem in Arificial Intelligence: Proc. 1987 Workshop, (ed.) F. Brown, Morgan Kaufman, Los Altos, CA, (1987).
Hobbs J.R., Stickel M., Martin P. and Edwards D., Interpetation as Abduction, in Proceedings of the 26th Annual Meeting of the ACL, (1988), p 95.
Inoue K., An Abductive Procedure for the CMS/ATMS, this volume.
Junker U., A Correct Non-Monotonic ATMS, in Proceedings IJCAI-89 (1989) p 1049.
Junker U. and Konolige K., Computing the Extensions of Autoepistemic and Default Logics with a TMS, in Proceedings of Conference on Theoretical Aspects of Reasoning about Knowledge, Asilomar, CA, (1990).
Kakas A.C., Belief Revision for Deductive Databases, in Proceedings of the first International Workshop on the Deductive Approach to Information Systems and Databases, Barcelona, Spain, (1990) p 111.
Kakas A.C. and Mancarella P., Anomalous models and Abduction, in Proceedings 2nd International Symposium on Artificial Intelligence, Monterrey, Mexico, 23–27 October 1989.
Kakas A.C. and Mancarella P., Database Updates through Abduction, in Proceedings of the 16th International Conference on Very Large Databases, VLDB-90, Brisbane, Australia, (1990) p 48.
Kakas A.C. and Mancarella P., Generalized Stable Models: a Semantics for Abduction, in Proceedings of the ninth European Conference on Artificial Intelligence, ECAI-90, Stockholm, (1990) p 385.
Kautz H., The Logic of Persistence, in Proceedings AAAI-86, (1986) p 401.
Konolige K., On the relation between Default and Autoepistemic Logic, Artificial Intelligence 35 (1988), p 343.
Levesque H.J., A Knowledge-level Account of Abduction, in Proceedings IJCAI-89 (1989), p 1061.
Lloyd J.W., Foundations of Logic Programming, Second Edition, Springer Verlag (1987).
Moore R.C., Semantical Considerations on Nonmonotonic Logic Artificial Intelligence, Artificial Intelligence 25 (1985), p 75.
Mooris P.H., The Anomalous Extension Problem in Default Reasoning, Artificial Intelligence 35 (1988), p 383.
Poole D.L., A Logical Framework for Default Reasoning, Artificial Intelligence 36 (1988), p 27.
Popper K., The Logic of Scientific Discovery, Basic Books, New York, 1959.
Pimentel S.G. and Cuadrado J.L., A Truth Maintenance System Based on Stable Models, in Proceedings of North American Conference on Logic Programming (1989), p 274.
Reinfrank M., Dressler O. and Brewka G., On the Relation between Truth Maintenance and Autoepistemic logic, in Proceedings IJCAI-89 (1989) p1206.
Reiter R., A Logic for Default Reasoning, Artificial Intelligence 13 (1980), p 81.
Reiter R., On Integrity Constraints, in Proceedings of 2nd Conference on Theoretical Aspects of Reasoning about Knowledge, Asilomar, CA (1988), p 97.
Reiter R., J. de Kleer, Foundations of Assumption-Based Truth Manintenance Systems, in Proceedings AAAI-87, Seattle, WA,(1987), p183.
Sattar A. and Goebel R., Using Crucial Literals to Select Better Theories, University of Alberta preprint (1989).
Sergot M., A Query-the-User Facility for Logic Programming” in Integrated Interractive Computer Systems, (eds.) P. Degano and E. Sandewell North Holland Press (1983).
Shanahan M.P., Prediction is Deduction but Explanation is Abduction, in Proceedings IJCAI-89 (1989).
Southwick R.W., ABRMS: A Reason Maintenance System for Backward Reasoning Systems, Imperial College preprint (1990).
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© 1991 Springer-Verlag Berlin Heidelberg
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Kakas, A.C., Mancarella, P. (1991). Knowledge assimilation and abduction. In: Martins, J.P., Reinfrank, M. (eds) Truth Maintenance Systems. TMW 1990. Lecture Notes in Computer Science, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0037029
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DOI: https://doi.org/10.1007/BFb0037029
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