Abstract
In this paper we first discuss the important role of nonmonotonic reasoning for Artificial Intelligence. After presenting some simple forms of nonmonotonicity as they arise in various well-known AI systems we present in Section 2 some of the most important existing nonmonotonic logics: McCarthy's circumscription, Moore's autoepistemic logic, and Reiter's default logic. Section 3 examines an approach in which default reasoning is reduced to reasoning in the presence of inconsistent information. The approach is based on the notion of preferred maximal consistent subsets. It is shown that these preferred subsets can be defined in such a way that it is possibly to represent priorities between defaults adequately. Section 4 briefly discusses the problem of implementing nonmonotonic systems.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Brewka, Gerhard: The Logic of Inheritance in Frame Systems, Proc. IJCAI 87, 1987
Brewka, Gerhard: Nonmonotonic Reasoning — Logical Foundations of Commonsense, Cambridge Tracts in Theoretical Computer Science 12, Cambridge University Press, 1990
Brewka, Gerhard: Cumulative Default Logic — In Defense of Nonmonotonic Inference Rules, Artificial Intelligence, to appear
Doyle, J.: A Truth Maintenance System, Artificial Intelligence 12, 1979
Freitag, H., Reinfrank, M.: A Non-Monotonic Deduction System Based on (A)TMS, Proc. ECAI 88, München, 1988
Gärdenfors, Peter: Knowledge in Flux, MIT Press, Cambridge, MA, 1988
Gärdenfors, Peter, Makinson, David: Revisions of Knowledge Systems Using Epistemic Entrenchment. In: Vardi, M. (ed): Proceedings of the Second Conference on Theoretical Aspects of Reasoning about Knowledge, Morgan Kaufmann, Los Altos, 1988
Gelfond, Michael, Lifschitz, Vladimir: Compiling Circumscriptive Theories into Logic Programs, Proc. 2nd Int. Workshop on Nonmonotonic Reasoning, Springer, LNCS 346, 1988
Goodwin, James W.: A Theory and System for Non-Monotonic Reasoning, Linköping University, Computer and Information Science Dep., Dissertation No. 165, 1987
Gordon, Thomas F.: Oblog 2 — A Hybrid Knowledge Representation System for Defeasible Reasoning, Proc. 1st Intl. Conference on Artificial Intelligence and Law, Boston, ACM Press, 1987
Hanks, Steven, McDermott, Drew: Nonmonotonic Logic and Temporal Projection, Artificial Intelligence 33, 1987
Junker, Ulrich, Konolige, Kurt: Computing the Extensions of Autoepistemic and Default Logic with a TMS, Proc. AAAI 90, 1990
Konolige, Kurt: On the Relation Between Default and Autoepistemic Logic, Artificial Intelligence 35 (3), 1988
Lifschitz, Vladimir: Computing Circumscription, IJCAI 85, 1985
McCarthy, John: Circumscription — A Form of Nonmonotonic Reasoning, Artificial Intelligence 13, 1980
McCarthy, John: Applications of Circumscription to Formalizing Common Sense Knowledge, Proc. AAAI-Workshop Non-Monotonic Reasoning, 1984 (auch in Artificial Intelligence 28, 1986)
Moore, Robert C.: Semantical Considerations on Nonmonotonic Logic, Artificial Intelligence 25, 1985 (Kurzfassung in Proc. IJCAI 83)
Petrie, C.J.: Revised Dependency-Directed Backtracking for Default Reasoning, Proc. AAAI 87, 1987
Poole, D.: A Logical Framework for Default Reasoning, Artificial Intelligence 36, 1988
Poole, D., Goebel, R., Aleliunas, R.: A Logical Reasoning System for Defaults and Diagnosis, University of Waterloo, Dep. of Computer Science, Research Rep. CS-86-06, 1986
Reiter, Raymond: A Logic for Default Reasoning, Artificial Intelligence 13, 1980
Rescher, Nicholas: Hypothetical Reasoning, North-Holland Publ., Amsterdam. 1964
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Brewka, G. (1991). Handling incomplete knowledge in artificial intelligence. In: Karagiannis, D. (eds) Information Systems and Artificial Intelligence: Integration Aspects. IS/KI 1990. Lecture Notes in Computer Science, vol 474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53557-8_19
Download citation
DOI: https://doi.org/10.1007/3-540-53557-8_19
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53557-7
Online ISBN: 978-3-540-46809-7
eBook Packages: Springer Book Archive