Abstract
The ability to perform reasoning with uncertainty is a prerequisite for intelligent behaviour. Consequently there has been considerable Artificial Intelligence (AI) research into representing and reasoning with uncertainty. Given that there have been several centuries of successful applications of probability to uncertain reasoning, it would seem a natural tool for uncertainty in AI. However, in 1969 McCarthy and Hayes produced an influential paper [McCarthy and Hayes, 1969], which proclaimed that probabilities were “epistemologically inadequate” and much early AI work on uncertainty accepted this argument.
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Bibliography
Martin Abadi and Joseph Y. Halpern. Decidability and expressiveness for first-order logics of probability. Information and Computation, 112 (1): 1–36, 1994.
Steven Abney. Stochastic attribute-value grammars. Computational Linguistics, 23 (4): 597–618, 1997.
Fahiem Bacchus, Adam Grove, Joseph Y. Halpern, and Daphne Koller. From statistics to belief. Artificial Intelligence, 87: 75–143, 1996.
Craig Boutilier, Nir Friedman, Moises Goldszmidt, and Daphne Koller. Context-specific independence in Bayesian networks. In Proceedings of the Twelfth Annual Conference on Uncertainty in Artificial Intelligence (UAI-96), pages 115–123, Portland, Oregon, 1996.
K.L. Clark and F.G. McCabe. PROLOG: a language for implementing expert systems. In J.E. Hayes, Donald Michie, and Y-H Pao, editors, Machine Intelligence, volume 10, chapter 23, pages 455–470. Ellis Horwood, Chichester, 1982.
James Cussens. Deduction, induction and probabilistic support. Synthese, 108 (1): 110, July 1996.
James Cussens. Integrating probabilistic and logical reasoning. Electronic Transactions on Artificial Intelligence,3(B):79–103, 1999. Selected Articles from the Machine Intelligence 16 Workshop.
James Cussens. Loglinear models for first-order probabilistic reasoning. In Kathryn B. Laskey and Henri Prade, editors, Proceedings of the Fifteenth Annual Conference on Uncertainty in Artificial Intelligence (UAI-99), pages 126–133, Stockholm, 1999. Morgan Kaufmann.
James Cussens. Attribute-value and relational learning: A statistical viewpoint. In Luc De Raedt and Stefan Kramer, editors, Proceedings of the ICML-2000 Workshop on Attribute-Value and Relational Learning: Crossing the Boundaries, pages 35–39, 2000.
James Cussens. Stochastic logic programs: Sampling, inference and applications. In Craig Boutilier and Moisés Goldszmidt, editors, Proceedings of the Sixteenth Annual Conference on Uncertainty in Artificial Intelligence (UAI-2000), pages 115–122, Stanford, CA, 2000. Morgan Kaufmann.
James Cussens. Parameter estimation in stochastic logic programs. Machine Learning, 44 (3): 245–271, 2001.
James Cussens. Statistical aspects of stochastic logic programs. In Tommi Jaakkola and Thomas Richardson, editors, Artificial Intelligence and Statistics 2001: Proceedings of the Eighth International Workshop, pages 181–186, Key West, Florida, January 2001. Morgan Kaufmann.
S. Della Pietra, V. Della Pietra, and J. Lafferty. Inducing features of random fields. IEEE Transactions on Pattern Analysis and Machine Intelligence,19(4):380–393, April 1997.
Andreas Eisele. Towards probabilistic extensions of constraint-based grammars. Contribution to DYANA-2 Deliverable R1.2B, DYANA-2 project, 1994.
Peter Haddaway. An overview of some recent developments in Bayesian problem solving techniques. Al Magazine, Spring 1999.
Joseph Y. Halpern. An analysis of first-order logics of probability. Artificial Intelligence, 46: 311–350, 1990.
Manfred Jaeger. Relational Bayesian networks. In Proceedings of the Thirteenth Annual Conference on Uncertainty in Artificial Intelligence (UAI-97),pages 266–273, San Francisco, CA, 1997. Morgan Kaufmann Publishers.
Daphne Koller and Avi Pfeffer. Learning probabilities for noisy first-order rules. In Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence (IJCAI-97), Nagoya, Japan, August 1997.
K. Lai and S.J. Young. The estimation of stochastic context-free grammars using the Inside-Outside algorithm. Computer Speech and Language, 4: 35–56, 1990.
J. McCarthy and P. Hayes. Some philosophical problems from the standpoint of artificial intelligence. In B. Meltzer and D. Michie, editors, Machine Intelligence 4, pages 463–502. Edinburgh University Press, Edinburgh, 1969.
S.H. Muggleton. Stochastic logic programs. In L. de Raedt, editor, Advances in Inductive Logic Programming, pages 254–264. IOS Press, 1996.
S.H. Muggleton. Semantics and derivation for stochastic logic programs. In Richard Dybowski, editor, Proceedings of the UAI-2000 Workshop on Fusion of Domain Knowledge with Data for Decision Support, 2000.
Raymond Ng and V.S. Subrahmanian. Probabilistic logic programming. Information and Computation, I01 (2): 150–201, 1992.
Raymond Ng and V.S. Subrahmanian. A semantical framework for supporting subjective and conditional probabilities in deductive databases. Journal of Automated Reasoning, 10 (2): 191–235, 1993.
Raymond Ng and V.S. Subrahmanian. Stable semantics for probabilistic databases. Information and Computation, 110 (1): 42–83, 1994.
L. Ngo and Peter Haddaway. Answering queries from context-sensitive probabilistic knowledge bases. Theoretical Computer Science, 171:147–171, 1997.
Liem Ngo, Peter Haddawy, and James Helwig. A theorectical framework for context-sensitive temporal probability model construction with application to plan projection. In Proceedings of the Eleventh Annual Conference on Uncertainty in Artificial Intelligence (UAI-95),pages 419–426, Montreal, Quebec, Canada, 1995.
Fernando C. N. Pereira and Stuart M. Shieber. Prolog and Natural-Language Analysis. CLSI, Stanford, 1987.
Karl R. Popper and David Miller. Why probabilistic support is not inductive. Philosophical Transactions of the Royal Society of London, 321: 569–591, 1987.
Stefan Riezler. Probabilistic constraint logic programming. Arbeitsberichte des SFB 340 Bericht Nr. 117, Universität Tübingen, 1997.
Stefan Riezler. Probabilistic Constraint Logic Programming. PhD thesis, Universität Tübingen, 1998. AIMS Report 5(1), 1999, IMS, Universität Stuttgart.
Glenn Shafer. The Art of Causal Conjecture. MIT Press, Cambridge, Mass., 1996.
Ehud Shapiro. Logic programs with uncertainties: A tool for implementing rule-based systems. In Proc. If CAI-83, pages 529–532, 1983.
D. Spiegelhalter, A. Thomas, N. Best, and W. Gilks. BUGS 0.5 Bayesian inference using Gibbs Sampling Manual. MRC Biostatistics Unit, Cambridge, 1996.
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Cussens, J. (2001). Integrating Probabilistic and Logical Reasoning. In: Corfield, D., Williamson, J. (eds) Foundations of Bayesianism. Applied Logic Series, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1586-7_10
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DOI: https://doi.org/10.1007/978-94-017-1586-7_10
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