Abstract
Nonmonotonic truth maintenance systems and nonmonotonic logics have now been coexisting for more than a decade. I survey some recent results on the relationships between these two fields. I discuss what has been achieved so far and suggest some problems that demand further investigation.
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References
Daniel G. Bobrow (ed.): Special Issue on Nonmonotonic Logic. Artificial Intelligence 13, pp. 1–172, 1980.
Allen L. Brown, Jr.: Logics of Justified Belief. Proceedings ECAI-88, pp. 507–512, 1988.
Allen L. Brown, jr., and Yoav Shoham: New Results on Semantical Nonmonotonic Reasoning. Proceedings of the 2 nd Intl. Workshop on Non-Monotonic Reasoning. Springer LNCS 346, pp.19–26, 1988.
Johan de Kleer: An Assumption-Based TMS. Artificial Intelligence 28, pp. 127–162, 1986.
Johan de Kleer: Extending the ATMS. Artificial Intelligence 28, pp. 163–196, 1986.
Johan de Kleer: A General Labeling Algorithm for the ATMS. Proceedings AAAI-88, pp. 188–192, 1988.
Johan de Kleer and Brian C. Williams: Diagnosing Multiple Faults. Artificial Intelligence 32, pp. 97–130, 1987.
Jon Doyle: A Truth Maintenance System. Artificial Intelligence 12, pp. 231–272, 1979.
Jon Doyle: Some Theories of Reasoned Assumptions. Tech report CMU-CS-83-125, 1983.
Oskar Dressler: An Extended Basic ATMS. Proceedings of the 2 nd Intl. Workshop on Non-Monotonic Reasoning. Springer LNCS 346, pp.143–163, 1988.
Problem Solver Control over the ATMS. Siemens Report INF 2 ARM-13-89, 1989.
Charles Elkan: A Rational Reconstruction of Nonmonotonic TMSs. Submitted for publication.
David Etherington: Reasoning with Incomplete Information. Pitman 1988.
Hartmut Freitag and Michael Reinfrank: A Nonmonotonic Deduction System Based on (A)TMS. Proceedings ECAI-88, pp. 601–606, 1988.
Kenneth D. Forbus and Johan de Kleer: Focusing the ATMS. Proceedings AAAI-88, pp. 193–198, 1988.
Yasushi Fujiwara and Shinichi Honiden: Relating the TMS to Autoepistemic Logic. Proceedings IJCAI-89, this volume, 1989.
Peter Gaerdenfors: Knowledge in Flux. MIT Press, 1988.
Peter Gaerdenfors and David Makinson: Revisions of Knowledge Systems Using Epistemic Entrenchment. Proceedings 2 nd Conf. on Theoretical Aspects of Reasoning about Knowledge. Morgan Kaufmann, 1988.
Matthew L. Ginsberg: Multivalued Logics. Tech report, Stanford University, 1988 (abridged version to appear in Computational Intelligence).
James W. Goodwin: A Theory and System for Non-Monotonic Reasoning. PhD Dissertation, University of Linköping.
Kurt Konolige: On the Relation between Default and Autoepistemic Logic. Artificial Intelligence 35, pp. 343–382, 1988.
Kurt Konolige: Defeasible Argumentation in Reasoning about Events. Proceedings ISMIS-88, pp. 380–390, 1988.
Liwu Li and Jia-Huai You: An Epistemic Analysis for the TMS. In submission.
Fangzen Lin and Yoav Shoham: Argument Systems, a Uniform Basis for Nonmonotonic Reasoning. Proceedings of the 1st Intl. Conf. on Principles of Knowledge Representation and Reasoning. To appear.
Joao P. Martins and Stuart C. Shapiro: A Model for Belief Revision. Artificial Intelligence 35, pp. 25–80, 1988.
David McAllester: An Outlook on Truth Maintenance. MIT AI-Lab Memo 551.
John McCarthy: Applications of Circumscription to Formalizing Commonsense Knowledge. Artificial Intelligence 28, pp. 89–116, 1986.
Drew McDermott and Jon Doyle: Non-Monotonic Logic I. Artificial Intelligence 13, pp. 41–72, 1980.
Drew V. McDermott: A General Framework for Reason Maintenance. Tech Report YALEU/CSD/RR 691, Yale Unisevrsity, 1989.
Jack Minker (ed.): Foundations of Deductive Databases and Logic Programming. (Part I: Negation and Stratification). Morgan Kaufmann, 1988.
Robert C. Moore: Possible-World Semantics for Autoepistemic Logic. Tech Report 337, SRI, 1984.
Robert Moore: Semantical Considerations on Non-Monotonic Logic. Artificial Intelligence 25, pp. 75–94, 1985.
Paul H. Morris: Autoepistemic Stable Closures and Contradiction Resolution. Proceedings of the 2 nd Intl. Workshop on Non-Monotonic Reasoning. Springer LNCS 346, pp. 60–73, 1988.
Charles J. Petrie, jr.:Revised Dependency-Directed Backtracking for Default Reasoning. Proceedings AAAI-87, pp. 167–172, 1987.
Teoder C. Przymusinksi: Three-Valued Formalizations of Nonmonotonic Resaoning and Logic Programming. Proceedings of the 1st Intl. Conf. on Principles of Knowledge Representation and Reasoning. To appear.
Michael Reinfrank: Defaults as Preferences between Partial Wolrds, Preliminary Report. Proceedings European Workshop on Logical Methods in AI, Univ. Paris VI, 1988.
Michael Reinfrank and Oskar Dressler: On the Relation between Truth Maintenance and Nonmonotonic Logics. Siemens Report INF 2 ARM-11-88, 1988.
Michael Reinfrank, Oskar Dressler, and Gerd Brewka: On the Relation between Truth Maintenance and Autoepistemic Logic. Proceedings IJCAI-89, to appear.
Raymund Reiter: A Logic for Default Reasoning. Artificial Intelligence 13, pp. 81–132, 1980.
Raymond Reiter: A Theory of Diagnosis from First Principles. Artificial Intelligence 32, 1987.
Raymund Reiter and Johan de Kleer: Foundations of Assumption-Based Truth Maintenance. Proceedings AAAI-87, pp. 183–188, 1988.
Hans Rott: Two Methods of Constructing Contractions and Revisions of Knowledge Systems. In submission.
Erik Sandewall: Semantic States and Non-Truth-Functional Logic. Tech report, Linkoeping University, 1987.
Richaerd Stallman and Gerald Sussman: Forward Reasoning and Dependency-Directed Backtracking in a System for Computer-Aided Circuit Analysis. Artificial Intelligence 9, pp. 135–196, 1977.
Peter Struss: Diagnosis as a Nonmonotonic Process. Proceedings Workshop on Model-Based Diagnosis, Paris 1989. To appear.
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© 1989 Springer-Verlag Berlin Heidelberg
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Reinfrank, M. (1989). Logical foundations of nonmonotonic truth maintenance. In: Martins, J.P., Morgado, E.M. (eds) EPIA 89. EPIA 1989. Lecture Notes in Computer Science, vol 390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51665-4_99
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DOI: https://doi.org/10.1007/3-540-51665-4_99
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