Abstract
This paper presents a formalism based on logic programming for modelling and reasoning about multidimensional information. It is supported by a rule-based system based on multidimensional logic. It can be used in applications such as multidimensional spreadsheets and multidimensional databases usually found in decision suport systems. In order to enhance the appreciation of representations and computations in the rule-based system, we also propose a flexible visual user interface (VUI) allowing the user to view and analyse a multidimensional object from different viewpoints.
Preview
Unable to display preview. Download preview PDF.
References
S. Agrawal, A. Gupta, and S. Sarawagi. Modeling multidimensional databases. Technical report, IBM Almaden Research Center, San Jose, California, 1995.
E. A. Ashcroft, A. A. Faustini, R. Jagannathan, and W. W. Wadge. Multidimensional Programming. Oxford University Press, 1995.
L. Cabibbo and R. Torlone. Querying multidimensional databases. In Proceedings of the Sixth Workshop on Database Programming Languages, 1997.
S. Chaudhuri and U. Dayal. An overview of dta warehousing and OLAP technology. SIG-MOD RECORD, 26(1):65–74, 1977.
G. Colliat. OLAP, Relational, and multidimensional database systems. SIGMOD RECORD, 25(3):64–69, September 1996.
W. Du. MQL—A definition and query language for multidimensional databases. In Proceedings of the Tenth International Symposium on Lucid and Intensional Programming, University of Victoria, Britis Columbia, Canada, 1997.
D. Gabbay and P. McBrien. Temporal logic & historical databases. In Proceedings of the 17th Very Large Data Bases Conference, pages 423–430, Barcelona, Spain, September 1991. Morgan Kauffman, Los Altos, Calif.
L. Libkin and L. Wong. A query language for multidimensional arrays: Design, implementation and optimization techniques. In Proceedings of the 1996 ACM SIGMOD International Conference on Management of Data, pages 228–239. ACM Press, 1996.
M. Marx and Y. Venema. Multi-dimensional modal logic. Kluwer Academic Publishers, 1996.
M. A. Orgun and W. Du. Multidimensional logic programming: Theoretical foundations. Theoretical Computer Science, 185(2):319–345, 1997.
Y. Shoham. Reasoning About Change. MIT Press, 1988.
Kenan Technologies. An introduction to multidimensional database technology. http://www.kenan.com/acumate/mddb.htm.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Orgun, M.A. (1999). Modelling and reasoning about multi-dimensional information. In: RaÅ›, Z.W., Skowron, A. (eds) Foundations of Intelligent Systems. ISMIS 1999. Lecture Notes in Computer Science, vol 1609. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095136
Download citation
DOI: https://doi.org/10.1007/BFb0095136
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65965-5
Online ISBN: 978-3-540-48828-6
eBook Packages: Springer Book Archive