A proof theoretic approach to qualitative probabilistic reasoning

International Journal of Approximate Reasoning

Volumn 19, Issue 3-4, 1998, Pages 265-297

  Parsons, Simon ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Logic; Probability; Qualitative behaviour

Indexed keywords

EID: 0346350520     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-613X(98)10011-7     Document Type: Article

References (32)

1. F. Bacchus, Representing and Reasoning with Probabilistic Knowledge, MIT Press, Cambridge, MA, 1990.
2. S. Benferhat, D. Dubois, H. Prade, Argumentative inference in uncertain and inconsistent knowledge bases, in: Proceedings of the Ninth Conference on Uncertainty in Artificial Intelligence, 1993.
3. A. Darwiche, Argument calculus and networks, in: Proceedings of the Ninth Conference on Uncertainty in Artificial Intelligence, 1993.
4. A. Darwiche, M. Goldszmidt, On the relation between kappa calculus and probabilistic reasoning, in: Proceedings of the Tenth Conference on Uncertainty in Artificial Intelligence, 1994.
5. A. Darwiche, J. Pearl, Symbolic causal network, in: Proceedings of the Twelfth National Conference on Artificial Intelligence, Menlo Park, CA, AAAI Press/MIT Press, Cambridge, MA, 1994.
6. M.J. Druzdzel, Probabilistic reasoning in decision support systems: From computation to common sense, Ph.D. Thesis, Carnegie Mellon University, 1993.
7. M.J. Druzdzel, M. Henrion, Efficient propagation in qualitative probabilistic networks, in: Proceedings of the Eleventh National Conference on Artificial Intelligence, 1993.
8. M.J. Druzdzel, M. Henrion, Intercausal reasoning with uninstantiated ancestor nodes, in: Proceedings of the Ninth Conference on Uncertainty in Artificial Intelligence, San Mateo, CA, Morgan Kaufmann, Los Altos, CA, 1993.
9. P.M. Dung, On the acceptability of arguments and its fundamental role in non-monotonic reasoning and logic programming, in: Proceedings of the Thirteenth International Conference on Artificial Intelligence, 1993.
10. J. Fox, A unified framework for hypothetical and practical reasoning (2): Lessons from clinical medicine, in: Proceedings of the Conference on Formal and Applied Practical Reasoning, 1996.
11. J. Fox, S. Parsons, Arguments about actions and values, in: Proceedings of AAAI Spring Symposium on Qualitative Preferences, 1997.
12. J. Fox, S. Parsons, Arguing about beliefs and actions, in: A. Hunter, S. Parsons (Eds.), Applications of Uncertainty Formalisms, Springer, Berlin, 1998.
13. M. Goldszmidt, J. Pearl, Qualitative probabilities for default reasoning, belief revision and causal modelling, Artificial Intelligence 84 (1996) 57-112.
14. F.V. Jensen, An Introduction to Bayesian Networks, UCL Press, London, 1996.
15. B. Kuipers (Ed.), Qualitative Reasoning - Modelling and Simulation with Incomplete Knowledge, MIT Press, Cambridge, MA, 1994.
16. R. Loui, Defeat among arguments: A system of defeasible inference, Comput. Intelligence 3 (1987) 100-106.
17. E. Neufeld, Defaults and probabilities: Extensions and coherence, in: Proceedings of the First International Conference on Knowledge Representation and Reasoning, San Mateo, CA, Morgan Kaufman, Los Altos, CA, 1989.
18. E. Neufeld, A probabilistic commonsense reasoner, Int. J. Intelligent Systems 5 (1990) 565-594.
19. S. Parsons, Refining reasoning in qualitative probabilistic networks, in: Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence, 1995.
20. S. Parsons, Comparing normative argumentation with other qualitative probabilistic systems, in: Proceedings of the Conference on Information Processing and the Management of Uncertainty, 1996.
21. S. Parsons, Normative argumentation and qualitative probability, Technical Report, Department of Electronic Engineering, Queen Mary and Westfield College, 1998.
22. S. Parsons, Qualitative Approaches to Reasoning Under Uncertainty, MIT Press, Cambridge, MA, to appear.
23. S. Parsons, Qualitative probability and default reasoning, Technical Report, Department of Electronic Engineering, Queen Mary and Westfield College, 1998.
24. J. Pearl, Embracing causality in default reasoning, Artificial Intelligence 35 (1988) 259-271.
25. J. Pearl, Probabilistic Reasoning in Intelligent Systems; Networks of Plausible Inference, Morgan Kaufmann, San Mateo, CA, 1988.
26. J. Pearl, From conditional oughts to qualitative decision theory, in: Proceedings of the Ninth Conference on Uncertainty in Artificial Intelligence, 1993.
27. J.L. Pollack, Justification and defeat, Artificial Intelligence 67 (1994) 377-407.
28. D. Poole, Representing Bayesian networks within probabilistic horn abduction, in: Proceedings of the Seventh Conference on Uncertainty in Artificial Intelligence, 1991.
29. D. Poole, Exploting the rule structure for decision making within the independent choice logic, in: Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence, 1995.
30. M.P. Wellman, Formulation of Tradeoffs in Planning Under Uncertainty, Pitman, London, 1990.
31. M.P. Wellman, M. Henrion, Qualitative intercausal relations, or explaining "explaining away", in: Proceedings of the Second International Conference on Principles of Knowledge Representation and Reasoning, San Mateo, CA, Morgan Kaufmann, Los Altos, CA, 1991.
32. N. Wilson, An order of magnitude calculus, in: Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence, 1995.