Reasoning About Belief Revision

Chapter
Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 21)

Abstract

The theory of belief revision developed by Carlos Alchourrón, Peter Gärdenfors and David Makinson (AGM) is one of the most influential and well-investigated theories of rational belief change; for a comprehensive presentation and references see Hansson (1999) and Rott (2001). This highly successful research program co-exists with another major research program concerned with the belief and knowledge of rational agents, namely doxastic and epistemic logic. With respect to epistemic logic, in Knowledge in Flux (1988), Peter Gärdenfors remarked:

Keywords

Object Language Proof System Belief Revision Epistemic Logic Belief Change 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Allen, M. 2005. Complexity results for logics of local reasoning and inconsistent belief. In Theoretical aspects of rationality and knowledge, ed. Ron van der Meyden, 92–108. Proceedings of the 10th conference, National University of Singapore, Singapore.Google Scholar
  2. Belnap, N.D., and M. Perloff. 1988 Seeing to it that: a canonical form for agentives. Theoria 54: 175–199.CrossRefGoogle Scholar
  3. Belnap, N.D., M. Perloff, and M. Xu. 2001. Facing the future: Agents and choices in our indeterminist world, New York, NY: Oxford University Press.Google Scholar
  4. van Benthem, J. 1995. Logic and the flow of information. In Logic, methodology and philosophy of science IX, eds. D. Prawitz et al., 693–724. Amsterdam: North Holland.Google Scholar
  5. Bonanno, G. 2005. A simple modal logic for belief revision. Synthese 147:5–40.Google Scholar
  6. Bonanno, G. 2007. Temporal interaction of information and belief. Studia Logica 86:375–401.CrossRefGoogle Scholar
  7. van Ditmarsch, H., W. van der Hoek, and B. Kooi. 2005. Playing cards with Hintikka. An introduction to dynamic epistemic logic. Australasian Journal of Logic 3:108–134.Google Scholar
  8. Fagin, R., and J.Y. Halpern. 1988 Belief, awareness and limited reasoning. Artificial Intelligence 34:39–76.CrossRefGoogle Scholar
  9. Gärdenfors, P. 1988. Knowledge in flux. Modeling the dynamics of epistemic states. Cambridge: MIT Press.Google Scholar
  10. Georgeff, M.P., and A.S. Rao. 1998. Decision procedures for BDI logics. Journal of Logic and Computation 8:293–342.CrossRefGoogle Scholar
  11. Hansson, S.O. 1999. A textbook of belief dynamics: theory change and database updating. Dordrecht: Kluwer.Google Scholar
  12. Kripke, S.A. 1963. Semantical analysis of modal logic I: Normal propositional calculi. Zeitschrift für mathematische Logik und Grundlagen der Mathematik 9:6796.CrossRefGoogle Scholar
  13. Leitgeb, H., and K. Segerberg. (2007). Dynamic doxastic logic: Why, how, and where to? Synthese 155:167–190.CrossRefGoogle Scholar
  14. Nottelmann, N. 2007. Blameworthy belief: A study in epistemic deontologism. Berlin: Springer.Google Scholar
  15. Priest, G. 2001. An introduction to non-classical logic. Cambridge: Cambridge University Press.Google Scholar
  16. de Rijke, M. 1994. Meeting some neighbours. In Logic and information flow eds. J. van Eijk, and A. Visser. Cambridge, MA: MIT.Google Scholar
  17. Rott, H. 2001. Change, choice and inference. A study of belief revision and non-monotonic reasoning. Oxford: Oxford University Press.Google Scholar
  18. Segerberg, K. 1999. Two traditions in the logic of belief: Bringing them together. In Logic, language and reasoning. Essays in honour of Dov Gabbay, eds. H.-J. Ohlbach, and U. Reyle, 135–147. Dordrecht: Kluwer.Google Scholar
  19. Semmling, C., and H. Wansing. 2008. From BDI and stit to bdi-stit logic. Logic and Logical Philosophy 17:185–207.Google Scholar
  20. Semmling, C., and H. Wansing. 2009. A sound and complete axiomatic system of bdi-stit logic, In Logica Yearbook 2008, ed. M. Pelis, 193–210. London: College Publications.Google Scholar
  21. Wansing, H. 2006a. Tableaux for multi-agent deliberative-stit logic. In Advances in modal logic, vol. 6, eds. G. Governatori, I. Hodkinson, and Y. Venema, 503–520. London: College Publications.Google Scholar
  22. Wansing, H. 2006b. Doxastic decisions, epistemic justification, and the logic of agency. Philosophical Studies 128:201–227.CrossRefGoogle Scholar
  23. Williams, B. 1973. Deciding to believe. In Problems of the self, chapter 9, 136–151. New York, NY: Cambridge University Press.Google Scholar
  24. Winters, B. 1979. Believing at will. Journal of Philosophy 76:243–256.CrossRefGoogle Scholar
  25. Wooldridge, M. 2000. Reasoning about rational agents. Cambridge, MA: MIT Press.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Institute of PhilosophyDresden University of TechnologyDresdenGermany

Personalised recommendations