Abstract
In this paper we study possibility theory from the point of view of modal logic. Our first and main result is that the logic of qualitative possibility is nothing else than Lewis's conditional logic VN. Second, we propose a multi-modal logic able to support possibility theory. Some connexions between these formalisms are stressed.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
8. References
D. Dubois (1986), Belief Structures, Possibility Theory, Decomposables Confidence Measures on finite sets. Computer and Arti. Intell. vol 5, No 5 pp 403–417.
D. Dubois, H. Prade (1988), Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press, New York.
P. Gärdenfors, D. Makinson (1991), Nonmonotonic Inference based on Expectation Ordering. Manuscript.
D. Makinson (1991), letter, march 1991.
G. E. Hughes, M. J. Cresswell (1968), An Introduction to Modal Logic. Methuen & Co.
D. K. Lewis (1973), Counterfactuals. Harvard University Press.
D. Scott (1964), Measurement structures and linear inequalities. Journal of Mathematical Psychology, Vol. 1, 233–247.
K.Segerberg (1971), Qualitative probability in a modal setting. In: Proc. of the Second Scandinavian Logic Symposium (ed. J. E. Fenstad), North Holland.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fariñas del Cerro, L., Herzig, A. (1991). A modal analysis of possibility theory. In: Jorrand, P., Kelemen, J. (eds) Fundamentals of Artificial Intelligence Research. FAIR 1991. Lecture Notes in Computer Science, vol 535. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54507-7_2
Download citation
DOI: https://doi.org/10.1007/3-540-54507-7_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54507-1
Online ISBN: 978-3-540-38420-5
eBook Packages: Springer Book Archive