Abstract
We look at some logical theories for modelling rules that have exceptions. We argue that a system based on belief revision may provide the most appropriate theoretical basis for formal theories of user modelling.
Similar content being viewed by others
References
Alchourron, C. E. & Makinson, D. (1982) The logic of theory change: contraction functions and their associated revision functions. Theoria, 48, 14–37.
Bell, J. (1990) Nonmonotonic reasoning, nonmonotonic logics and reasoning about change. Artificial Intelligence Review, 4, 79–108.
Buchanan, B. G. & Shortliffe, E. H. (1984) Rule-based expert systems. Addison Wesley, Reading, Mass.
Cox, R. T. (1961) The Algebra of Probable Inference. Johns Hopkins Press, Baltimore.
Delgrande, J. P. (1988) An approach to default reasoning based on a first-order conditional logic: revised report. Artificial Intelligence, 36, 63–90.
Gärdenfors, P. (1988) Knowledge in Flux. MIT Press, Cambridge, Mass.
Ginsburg, M. L. (1986) Counterfactuals. Artificial Intelligence, 30, 35–79.
Hughes, G. E. & Cresswell, M. J. (1984) A Companion to Modal Logic. Methuen, London.
Lewis, D. K. (1973) Counterfactuals. Blackwell, Oxford.
Lewis, D. K. (1976) Probabilities of conditionals and conditional probabilities. The Philosophical Review, 85, 297–315.
McCarthy, J. (1980) Circumscription — a form of nonmonotonic reasoning. Artificial Intelligence, 13, 27–39.
Moore, R. C. (1985) Semantical considerations on nonmonotonic logic. Artificial Intelligence, 25, 75–94.
Nute, D. (1984) Conditional logic. In Handbook of Philosophical Logic (Volume 2). Reidel, Dordrecht.
Pearl, J. (1988) Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, San Mateo.
Reiter, R. (1980) A logic for default reasoning. Artificial Intelligence, 13, 81–132.
Shafer, G. (1976) A Mathematical Theory of Evidence. Princeton University Press, Princeton, NJ.
Stalnaker, R. (1968) A theory of conditionals. In Studies in Logical Theory, (ed. N. Rescher) American Philosophical Quarterly Monograph Series, No. 2, Blackwell, Oxford.
Stalnaker, R. (1970) Probability and conditionals. In Ifs, Conditionals, Belief, Decision, Chance and Time (eds W. L. Harper, R. Stalnaker & G. Pierce), Dordrecht, Reidel, pp.107–128.
Wilson, P. N. (1990) Rules, belief functions and default logic. Research Report, Dept. of Computer Science, Queen Mary and Westfield College, University of London.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Clarke, M.R.B. Conditionals, uncertain rules and belief revision. Artif Intell Rev 5, 71–88 (1991). https://doi.org/10.1007/BF00129536
Issue Date:
DOI: https://doi.org/10.1007/BF00129536