Abstract
Adequate treatment of incomplete and ambiguous information encourage research in theories about reasoning and action (e. g. [7]). In [10] is proposed to deal with this topic using Belnap's four-valued logic. In this paper, Driankov's semantic is used in a formalisation that captures the dynamic character of knowledge and belief. Ambiguous knowledge is present in several kind of situations that formally corresponds with knowing that a disjunction is true, but it is not known which element of the disjunction makes it true. We define an a posteriori knowledge operator that allows to extend knowledge from ambiguous knowledge or undefined information, being in the meanwhile, potential knowledge. In addition, belief is consider local knowledge.
Preview
Unable to display preview. Download preview PDF.
References
Alvarado, M.: Relatives Knowledge and Belief in SKL ** Preferred Model Frames In Proc. of AIMSA94 (Sofia, Bulgaria, 1994)
Alvarado, M.: A posteriori Knowledge: from Ambiguous Knowledge and Undefined Information to Knowledge. Report de Recerca LSI-94-. (UPC, Spain 1994)
Belnap, N.: A Useful Four-Valued Logic. In Modern Use of Logic. (Reidel Publishing Co., 1976)
Van Benthem, J.: A Manual of Intensional Logic CSLI 1 (Stanford, 1988)
Blamey, S.: Partial Logic In Handbook of Philosophical Logic, III. D. Gabbay, F. Guenthner, (Eds.) (Reidel Publishing Co, 1986).
Brewka, G.: Preferred Subtheories: an Extended Logical Framework for Default Reasoning. In Proc. IJCAI89. (Detroit, USA, 1989).
Brewka, G., Hertzberg, J.: How to do things with worlds: On formalizing revision and reasoning about action. In Journal of Logic and Computation. (1993)
Del Val, A., Shoham, Y.: Deriving Properties of Belief Update from Theories of Action (II). In Proc. IJCAI'93
Doherty, P.: NMR-3 A Three-Valued Approach to Non-Monotonic Reasoning. PhD Theses (Linköping, 1992).
Driankov, D.: Computing Effects of Ambiguous Actions in Incomplete Worlds: The Epistemic State Approach. Linköping University (Sweden, 1994)
Gärdenfors, P.: Knowledge in Flux The MIT Press (1988).
J. Halpern, Moses, Y.: A Guide to Completeness and Complexity for Modal Logics of Knowledge and Belief. Artificial Intelligence 54 (1992) pp. 319–379.
Hintikka, J.: Knowledge and Belief (Cornell University Press 1962).
Kleene, S.: Introduction to Metamathematical (North Holland, Amsterdam, 1952).
Kripke, S.: A completness theorem in modal logic. The Journal of Symbolic Logic. 24-1 (1959) pp. 1–14.
Levesque, H.: A Logic of Implicit and Explicit Belief. Proceedings of the AAAI (1984).
McCArthy, J.: Circumscription — A Form of Nonmonotonic Reasoning. Artificial Intelligence (1986).
Meyer, J., Van der Hoek, W.: A Cumulative Default Logic Based on Epistemic States. Rapportnr. IR-288. August 1992. Vrije Universitet, Amsterdam
Núñez, G., Alvarado, M.: Hacia una semántica realista de mundos posibles en lógica de creencias. Reporte de Investigación LANIA (México, 1993).
Sandewall, E.: The Semantics of Non-Monotonic Entailment Defined Using Partial Interpretations. LiTH-IDA-R-88-31, Linköping University (Sweden, 1988)
Shoham, Y.: Reasoning About Change (The MIT Press, 1988).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Alvarado, M. (1995). A posteriori knowledge: from ambiguous knowledge and undefined information to knowledge. In: Froidevaux, C., Kohlas, J. (eds) Symbolic and Quantitative Approaches to Reasoning and Uncertainty. ECSQARU 1995. Lecture Notes in Computer Science, vol 946. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60112-0_2
Download citation
DOI: https://doi.org/10.1007/3-540-60112-0_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60112-8
Online ISBN: 978-3-540-49438-6
eBook Packages: Springer Book Archive