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25 - Belief Revision

Published online by Cambridge University Press:  05 June 2012

Hans Rott
Affiliation:
University of Regensburg
Jonathan E. Adler
Affiliation:
Brooklyn College, City University of New York
Lance J. Rips
Affiliation:
Northwestern University, Illinois
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Summary

Introduction

The terms “belief revision” and “belief change” refer to the change of a system of beliefs or opinions in response to new information, in particular to information that is inconsistent with this system. In the 1960s and 1970s, works of Isaac Levi, William Harper, and Brian Ellis prepared the ground for systematic studies of belief change processes. In the 1980s, a seminal research paradigm of belief revision was established by Carlos Alchourrón, Peter Gärdenfors, and David Makinson (also known as “AGM”) who discovered a common structure in the logic of normative systems and of the logic of counterfactual conditionals – areas which turned out to be structurally related and were merged into the field of belief change (also known as “theory change”). The AGM paradigm is a classic by now that has in many ways been extended and revised. Still almost all new theories that are being proposed today define themselves in relation to the basic ideas of AGM.

Belief revision theories are different from descriptive psychological investigations or investigations of theory dynamics as conducted in the philosophy of science in that they provide abstract logical postulates for rational revision processes, as well as construction recipes for belief changes on the basis of certain revision-guiding structures. At present, research in belief revision is an interdisciplinary undertaking in logic, philosophy, computer science, and, to a lesser extent, in economics and cognitive science.

Type
Chapter
Information
Reasoning
Studies of Human Inference and its Foundations
, pp. 514 - 534
Publisher: Cambridge University Press
Print publication year: 2008

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References

Alchourrón, Carlos, Peter, Gärdenfors, and Makinson, David, On the Logic of Theory Change: Partial Meet Contraction and Revision Functions, Journal of Symbolic Logic 50 (1985), 510–530.CrossRefGoogle Scholar
Areces, Carlos, and Veronica Becher, Iterable AGM Functions, in Williams, Mary-Anne and Rott, Hans (eds.), Frontiers of Belief Revision, Dordrecht, Kluwer 2001, pp. 261–277.CrossRefGoogle Scholar
Baral, Chitta, Kraus, Sarit and Minker, Jack, Combining multiple knowledge bases, IEEE Transactions on Knowledge and Data Engineering 3 (1991), 208–220.CrossRefGoogle Scholar
Baral, Chitta, Kraus, Sarit, Minker, Jack and Subrahmanian, V. S., Combining multiple knowledge bases consisting of first order theories, Computational Intelligence 8 (1992), 45–71.CrossRefGoogle Scholar
Bochman, Alexander, A Logical Theory of Nonmonotonic Inference and Belief Change, Berlin, Springer 2001.CrossRefGoogle Scholar
Boutilier, Craig, Revision Sequences and Nested Conditionals, in Bajcsy, R. (ed.), IJCAI-93 – Proceedings of the Thirteenth International Joint Conference on Artificial Intelligence, San Mateo, CA: Morgan Kaufmann 1993, 519–525.Google Scholar
Boutilier, Craig, Iterated Revision and Minimal Change of Conditional Beliefs, Journal of Philosophical Logic 25 (1996), 263–305.CrossRefGoogle Scholar
Cantwell, John, On the Logic of Small Changes in Hypertheories, Theoria 63 (1997), 54–89.CrossRefGoogle Scholar
Chopra, Samir, Ghose, Aditya and Meyer, Thomas, Non-prioritised Ranked Belief Change, Journal of Philosophical Logic 32 (2003), 417–443.CrossRefGoogle Scholar
Cohen, L. Jonathan, The Probable and the Provable, Clarendon Press, Oxford 1977.CrossRefGoogle Scholar
Darwiche, Adnan, and Judea Pearl, On the Logic of Iterated Belief Revision, in Fagin, Ronald, ed., TARK '94 – Proceedings of the Fifth Conference on Theoretical Aspects of Reasoning About Knowledge, Pacific Grove, CA: Morgan Kaufmann 1994, 5–23.Google Scholar
Darwiche, Adnan, and Pearl, Judea, On the Logic of Iterated Belief Revision, Artificial Intelligence 89 (1997), 1–29.CrossRefGoogle Scholar
Dubois, Didier, and Prade, Henri, Possibility Theory. An Approach to the Computerized Processing of Uncertainty, New York, Plenum Press 1988.Google Scholar
Ellis, Brian, Rational Belief Systems, Oxford 1979.Google Scholar
Fermé, Eduardo, and Rott, Hans, Revision by Comparison, Artificial Intelligence 157 (2004), 5–47.CrossRefGoogle Scholar
Friedman, Nir, and Joseyph, Y. Halpern, Belief Revision: A Critique, Journal of Logic, Language and Information 8 (1999), 401–420.CrossRefGoogle Scholar
Fuhrmann, André, Theory Contraction Through Base Contraction, Journal of Philosophical Logic 20 (1991), 175–203.CrossRefGoogle Scholar
Fuhrmann, André, An Essay on Contraction, Stanford, CA: CSLI Publications 1997.Google Scholar
Fuhrmann, André, and Sven, Ove Hansson, A Survey of Multiple Contractions, Journal of Logic, Language and Information 3 (1994), 39–76.CrossRefGoogle Scholar
Fuhrmann, André, and Morreau, Michael (eds.), The Logic of Theory Change, Berlin, Springer 1991.CrossRefGoogle Scholar
Fuhrmann, André, and Rott, Hans (eds.), Logic, Action, and Information. Essays on Logic in Philosophy and Artificial Intelligence, Berlin/New York 1995.Google Scholar
Gabbay, Dov M., Theoretical Foundations for Non-monotonic Reasoning in Expert Systems, in Apt, Krzysztof (ed.), Logics and Models of Concurrent Systems, Berlin, Springer 1985, 439–457.CrossRefGoogle Scholar
Gabbay, D. M., Hogger, C. J. and Robinson, J. A. (eds.), Handbook of Logic in Artificial Intelligence and Logic Programming, Volume III: Nonmonotonic Reasoning and Uncertain Reasoning, Oxford: Oxford University Press 1994.Google Scholar
Gabbay, D. M., Hogger, C. J. and Robinson, J. A. (eds.), Handbook of Logic in Artificial Intelligence and Logic Programming, Volume IV: Epistemic and Temporal Reasoning, Oxford: Oxford University Press 1995.Google Scholar
Gabbay, Dov, and Smets, Philippe (eds.), Belief Change, Vol. III of the Handbook of Defeasible Reasoning and Uncertainty Management Systems, Dordrecht, Kluwer 1998.Google Scholar
Gärdenfors, Peter, Knowledge in Flux. Modeling the Dynamics of Epistemic States, Cambridge, MA: MIT Press 1988.Google Scholar
Gärdenfors, Peter (ed.), Belief Revision, Cambridge, Cambridge University Press 1992.CrossRefGoogle Scholar
Gärdenfors, Peter, and David Makinson, Revisions of Knowledge Systems Using Epistemic Entrenchment, in: Proceedings of the Second Conference on Theoretical Aspects of Reasoning about Knowledge, Vardi, M. (ed.), Los Altos, CA: Morgan Kaufmann 1988, 83–95.Google Scholar
Gärdenfors, Peter, and Makinson, David, Nonmonotonic Inference Based on Expectations, Artificial Intelligence 65 (1994), 197–245.CrossRefGoogle Scholar
Gärdenfors, Peter, and Hans Rott, Belief Revision, in: Gabbay, D. M., Hogger, C. J. and Robinson, J. A. (eds.), Handbook of Logic in Artificial Intelligence and Logic Programming, Volume IV: Epistemic and Temporal Reasoning, Oxford: Oxford University Press 1995, 35–132.Google Scholar
Ginsberg, Matthew L. (ed.), Readings in Nonmonotonic Reasoning, Los Altos, CA: Morgan Kaufmann 1987.Google Scholar
Goldszmidt, Moisés, and Pearl, Judea, Rank-Based Systems: A Simple Approach to Belief Revision, Belief Update, and Reasoning About Evidence and Actions, in: Proceedings of the Third International Conference on Principles of Knowledge Representation and Reasoning, Cambridge, MA: Morgan Kaufmann 1992, 661–672.Google Scholar
Grove, Adam, Two Modellings for Theory Change, Journal of Philosophical Logic 17 (1988), 157–70.CrossRefGoogle Scholar
Haas, Gordian, Revision und Rechtfertigung. Eine Theorie der Theorieänderung, Synchron Wissenschaftsverlag der Autoren, Heidelberg, Synchron Wissenschaftsverlag der Autoren 2005.Google Scholar
Hansson, Sven Ove, Belief Base Dynamics, Ph.D. thesis, Uppsala University, Uppsala 1991.Google Scholar
Hansson, Sven Ove, A Textbook of Belief Dynamics: Theory Change and Database Updating, Dordrecht Kluwer 1999.CrossRefGoogle Scholar
Hansson, Sven Ove (ed.), Non-Prioritized Belief Revision, special issue of Theoria 63 (1997).
Harman, Gilbert, Change in View, Cambridge, MA, MIT Press 1986.Google Scholar
Jeffrey, Richard C., The Logic of Decision, New York, McGraw-Hill 1965: second edition Chicago, University of Chicago Press 1983.Google Scholar
Katsuno, Hirofumi, and Alberto, O. Mendelzon, Propositional Knowledge Base Revision and Minimal Change, Artificial Intelligence 52 (1991), 263–294.CrossRefGoogle Scholar
Katsuno, Hirofumi, and Alberto O. Mendelzon, On the Difference Between Updating a Knowledge Base and Revising It, in: Peter, Gärdenfors (ed.), Belief Revision, Cambridge, Cambridge University Press 1992, 183–203.Google Scholar
Konieczny, Sébastien, and Ramón Pino-Pérez, , On the Logic of Merging, in: Proceedings of the Sixth International Conference on Principles of Knowledge Representation and Reasoning (KR'98), San Francisco, CA: Morgan Kaufmann 1998, 488–498.Google Scholar
Konieczny, Sébastien, and Pino-Pérez, Ramón, A Framework for Iterated Revision, Journal of Applied Non-Classical Logics 10 (2000), 339–367.CrossRefGoogle Scholar
Konieczny, Sébastien, and Pino-Pérez, Ramón, Merging Information Under Constraints: A Qualitative Framework, Journal of Logic and Computation 12 (2002), 773–808.CrossRefGoogle Scholar
Kraus, Sarit, Lehmann, Daniel and Magidor, Menachem, Nonmonotonic Reasoning, Preferential Models and Cumulative Logics, Artificial Intelligence 44 (1990), 167–207.CrossRefGoogle Scholar
Lehmann, Daniel, Magidor, Menachem and Schlechta, Karl, Distance Semantics for Belief Revision, Journal of Symbolic Logic 66 (2001), 295–317.CrossRefGoogle Scholar
Lehmann, Daniel, Nonmonotonic Logics and Semantics, Journal of Logic and Computation 11 (2001), 229–256.CrossRefGoogle Scholar
Levi, Isaac, The Fixation of Belief and Its Undoing, Cambridge, Cambridge University Press 1991.CrossRefGoogle Scholar
Levi, Isaac, Mild Contraction. Evaluating Loss of Information Due to Loss of Belief, Oxford, Oxford University Press 2004.CrossRefGoogle Scholar
Levi, Isaac, Subjunctives, Dispositions and Chances, Synthese, Oxford, Blackwell 34 (1977), 423–455.CrossRefGoogle Scholar
Lewis, David, Ordering Semantics and Premise Semantics for Counterfactuals. Journal of Philosoponical Logic 19 (1981), 217–234.Google Scholar
Liberatore, Paolo, and Schaerf, Marco, Arbitration (Or How To Merge Knowledge Bases), IEEE Transactions on Knowledge and Data Engineering 10 (1998), 76–90.CrossRefGoogle Scholar
Lindström, Sten, A Semantic Approach to Nonmonotonic Reasoning. Inference Operations and Choice, Department of Philosophy, Uppsala Prints and Preprints in Philosophy 1991:6, University of Uppsala 1991.Google Scholar
Makinson, David, How to Give It Up: A Survey of Some Formal Aspects of the Logic of Theory Change, Synthese 62 (1985), 347–363.CrossRefGoogle Scholar
Makinson, David, General Patterns in Nonmonotonic Reasoning, in Gabbay, D. M., Hogger, C. J. and Robinson, J. A. (eds.), Handbook of Logic in Artificial Intelligence and Logic Programming, Vol. III: Nonmonotonic Reasoning and Uncertain Reasoning, Oxford: Oxford University Press 1994, 35–110.Google Scholar
Makinson, David, Bridges from Classical to Nonmonotonic Logic, London, King's College Publications 2005.Google Scholar
Makinson, David, and Peter Gärdenfors, Relations Between the Logic of Theory Change and Nonmonotonic Logic, in Fuhrmann, André and Morreau, Michael (eds.), The Logic of Theory Change, Springer LNAI 465, Berlin, Springer 1991, pp. 185–205.CrossRefGoogle Scholar
Nayak, Abhaya, Iterated Belief Change Based on Epistemic Entrenchment, Erkenntnis 41 (1994), 353–390.CrossRefGoogle Scholar
Nayak, Abhaya, Pagnucco, Maurice and Peppas, Pavlos, Dynamic Belief Revision Operations, Artificial Intelligence 146 (2003), 193–228.CrossRefGoogle Scholar
Nebel, Bernhard, A Knowledge Level Analysis of Belief Revision, in Brachman, Ronald, Levesque, Hector and Reiter, Ray (eds.), Proceedings of the 1st International Conference on Principles of Knowledge Representation and Reasoning, San Mateo, CA: Morgan Kaufmann. 1989, pp. 301–311.Google Scholar
Nebel, Bernhard, Syntax-based Approaches to Belief Revision, in: Peter, Gärdenfors (ed.), Belief Revision, Cambridge, Cambridge University Press 1992, 52–88.Google Scholar
Pagnucco, Maurice, and Rott, Hans, Severe Withdrawal (and Recovery), Journal of Philosophical Logic 28 (1999), 501–547 (corrected reprint in the JPL issue of February 2000).Google Scholar
Priest, Graham, Routley, Richard and Norman, Jean (eds.), Paraconsistent Logic – Essays on the Inconsistent, Munich, Philosophia Verlag 1989.Google Scholar
Quine, Willard V. O., and Joseph, S. Ullian, The Web of Belief, second edition, New York, Random House 1978.Google Scholar
Rescher, Nicholas, Plausible Reasoning, Assen, Amsterdam van, Gorcum 1976.Google Scholar
Revesz, Peter, On the Semantics of Arbitration, International Journal of Algebra and Computation 7 (1997), 133–160.CrossRefGoogle Scholar
Revesz, Peter, On the Semantics of Theory Change: Arbitration Between Old and New Information, Proceedings of the Twelfth ACM SICACT-SIGMOD-SIGART Symposium on Principles of Databases, 1993, 71–92.CrossRefGoogle Scholar
Rott, Hans, Belief Contraction in the Context of the General Theory of Rational Choice, Journal of Symbolic Logic 58 (1993), 1426–1450.CrossRefGoogle Scholar
Rott, Hans, Coherence and Conservatism in the Dynamics of Belief. Part I: Finding the Right Framework, Erkenntnis 50 (1999), 387–412.CrossRefGoogle Scholar
Rott, Hans, Two Dogmas of Belief Revision, Journal of Philosophy 97 (2000), 503–522.CrossRefGoogle Scholar
Rott, Hans, Change, Choice and Inference, Oxford, Oxford University Press 2001.Google Scholar
Rott, Hans, Economics and Economy in the Theory of Belief Revision, in Hendricks, Vincent, Klaus, J⊘rgensen and Pedersen, Stig (eds.), Knowledge Contributors, Dordrecht: Dordrecht, Kluwer 2003a, 57–86.CrossRefGoogle Scholar
Rott, Hans, Coherence and Conservatism in the Dynamics of Belief. Part II: Iterated Belief Change Without Dispositional Coherence, Journal of Logic and Computation 13 (2003b), 111–145.CrossRefGoogle Scholar
Rott, Hans, Bounded Revision: Two-Dimensional Belief Change Between Conservatism and Moderation, in Toni, R⊘nnow-Rasmussen, Petersson, Björn, Josefsson, Jonas and Egonsson, Dan (eds.), Hommage à Wlodek. Philosophical Papers Dedicated to Wlodek Rabinowicz, Lund 2007: available at: http://www.fil.lu.se/hommageawlodek/site/papper/RottHans.pdf.Google Scholar
Schlechta, Karl, Some results on theory revision, in Fuhrmann, André and Morreau, Michael (eds.), The Logic of Theory Change, LNAI 465, Berlin, Springer 1991, pp. 72–92.CrossRefGoogle Scholar
Schlechta, Karl, Nonmonotonic Logics – Basic Concepts, Results, and Techniques, LNAI 1187, Berlin, Springer 1997.CrossRefGoogle Scholar
Segerberg, Krister, Irrevocable Belief Revision in Dynamic Doxastic Logic, Notre Dame Journal of Formal Logic 39 (1998), 287–306;Google Scholar
Shackle, George L. S., Expectation in Economics, Cambridge, Cambridge University Press 1949, second edition 1952.Google Scholar
Spohn, Wolfgang, Ordinal Conditional Functions: A Dynamic Theory of Epistemic States, in: Harper, W. L. and Skyrms, B. (eds.), Causation in Decision, Belief Change, and Statistics, Vol. 2, Dordrecht, Reidel 1988, 105–134.CrossRefGoogle Scholar
Hans, Ditmarsch, Prolegomena to Dynamic Logic for Belief Revision, Synthese 147 (2005), 229–275 (Knowledge, Rationality and Action, pp. 41–87) 2005.Google Scholar
Williams, Mary-Anne, and Rott, Hans (eds.), Frontiers in Belief Revision, Dordrecht, Kluwer 2001.CrossRefGoogle Scholar
Zhang, Dongmo, and Foo, Norman, Infinitary Belief Revision, Journal of Philosophical Logic 30 (2001), 525–570.CrossRefGoogle Scholar

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  • Belief Revision
  • Edited by Jonathan E. Adler, Brooklyn College, City University of New York, Lance J. Rips, Northwestern University, Illinois
  • Book: Reasoning
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511814273.027
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  • Belief Revision
  • Edited by Jonathan E. Adler, Brooklyn College, City University of New York, Lance J. Rips, Northwestern University, Illinois
  • Book: Reasoning
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511814273.027
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  • Belief Revision
  • Edited by Jonathan E. Adler, Brooklyn College, City University of New York, Lance J. Rips, Northwestern University, Illinois
  • Book: Reasoning
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511814273.027
Available formats
×