A category theory approach to conceptual data modeling
E. Lippe; A. H. M. Ter Hofstede
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1996)
- Volume: 30, Issue: 1, page 31-79
- ISSN: 0988-3754
Access Full Article
topHow to cite
topLippe, E., and Ter Hofstede, A. H. M.. "A category theory approach to conceptual data modeling." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 30.1 (1996): 31-79. <http://eudml.org/doc/92525>.
@article{Lippe1996,
author = {Lippe, E., Ter Hofstede, A. H. M.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {category theory semantics; data modeling},
language = {eng},
number = {1},
pages = {31-79},
publisher = {EDP-Sciences},
title = {A category theory approach to conceptual data modeling},
url = {http://eudml.org/doc/92525},
volume = {30},
year = {1996},
}
TY - JOUR
AU - Lippe, E.
AU - Ter Hofstede, A. H. M.
TI - A category theory approach to conceptual data modeling
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1996
PB - EDP-Sciences
VL - 30
IS - 1
SP - 31
EP - 79
LA - eng
KW - category theory semantics; data modeling
UR - http://eudml.org/doc/92525
ER -
References
top- 1. D. E. AVISON and G. FITZGERALD, Information Systems Development: Methodologies, Techniques and Tools, Blackwell Scientific Publications, Oxford, United Kingdom, 1988.
- 2. S. ABITEBOUL and R. HULL, IFO: A Formal Semantic Database Model, ACM Transactions on Database Systems, 1987, 12(4), pp. 525-565. MR920252
- 3. J. ADÁMEK, H. HERRLICH and G. E. STRECKER, Abstract and Concrete Categories, Pure and applied mathematics, John Wiley & Sons, New York, 1990. Zbl0695.18001MR1051419
- 4. G. ARIAV, A Temporally Oriented Data Model, ACM Transactions on Database Systems, 1986, 11(4), pp. 499-527.
- 5. C. W. BACHMAN, Data structure diagrams, Data Base, 1969, 1(2), pp. 4-10.
- 6. M. BARR, Fuzzy sets and topos theory, Canadian Mathematical Bulletin, 1986, 24, pp. 501-508. Zbl0563.03040MR860861
- 7. M. L. BRODIE, On the development of data models. In M. L. Brodie, J. Mylopoulos and J. W. Schmidt, editors, On Conceptual Modelling, Perspectives from Artificial Intelligence, Databases and Programming Languages, pp. 19-48. Springer-Verlag, New York, 1984.
- 8. K. BACLAWSKI, D. SIMOVICI and W. WHITE, A categorical approach to database semantics, Mathematical Structures in Computer Science, 1994, 4, pp. 147-183. Zbl0854.68029MR1281758
- 9. J. A. BUBENKO, Information System Methodologies - A Research View. In T. W. Olle, H. G. Sol and A. A. Verrijn-Stuart, editors, Information Systems Design Methodologies: Improving the Practice, pp. 289-318. North-Holland, Amsterdam, The Netherlands, 1986.
- 10. M. BARR and C. WELLS, Category Theory for Computing Science, Prentice-Hall, Englewood Cliffs, New Jersey, 1990. Zbl0714.18001MR1094561
- 11. P. P. CHEN, The Entity-Relationship Model: Toward a Unified View of Data, ACM Transactions on Database Systems, 1976, 1(1), pp. 9-36.
- 12. E. F. CODD, A Relational Model of Data for Large Shared Data Banks, Communications of the ACM, 1970, 13(6), pp. 377-387. Zbl0207.18003
- 13. G. ENGELS, M. GOGOLLA, U. HOHENSTEIN, K. HÜLSMANN, P. LÖHR-RICHTER, G. SAAKE and H.-D. EHRICH, Conceptual modelling of database applications using an extended ER model, Data & Knowledge Engineering, 1992, 9(4), pp. 157-204.
- 14. J. J. VAN GRIETHUYSEN, editor, Concepts and Terminology for the Conceptual Schema and the Information Base, Publ. nr. ISO/TC97/SC5-N695, 1982.
- 15. T. A. HALPIN, Conceptual Schema and Relational Database Design, Prentice-Hall, Sydney, Australia, 2nd edition, 1995.
- 16. M. HAMMER and D. MCLEOD, Database Description with SDM: A Semantic Database Model, ACM Transactions on Database Systems, 1981, 6(3), pp. 351-386.
- 17. T. A. HALPIN and M. E. ORLOWSKA, Fact-oriented modelling for data analysis, Journal of Information Systems, 1992, 2(2), pp. 97-119.
- 18. A. H. M. TER HOFSTEDE, H. A. PROPER and Th. P. VAN DER WEIDE, Formal definition of a conceptual language for the description and manipulation of information models, Information Systems, 1993, 18(7), pp. 489-523.
- 19. A. H. M. TER HOFSTEDE and Th. P. VAN DER WEIDE, Expressiveness in conceptual data modelling, Data & Knowledge Engineering, 1993, 10(1), pp. 65-100. Zbl0795.68059
- 20. C. B. JONES, Systematic Software Development using VDM, Prentice-Hall, Englewood Cliffs, New Jersey, 1986. Zbl0584.68008
- 21. W. KIM and F. H. LOCHOVSKY, editors, Object-Oriented Concepts, Databases, and Applications, ACM Press, Frontier Series. Addison-Wesley, Reading, Massachusetts, 1989.
- 22. D. MAIER, The Theory of Relational Databases, Computer Science Press, Rockville, Maryland, 1988. Zbl0519.68082MR691493
- 23. J. M. MORRISSEY, Imprecise Information and Uncertainty in Information Systems, ACM Transactions on Information Systems, 1990, 8(2), pp. 159-180.
- 24. G. M. NIJSSEN and T. A. HALPIN, Conceptual Schema and Relational Database Design: a fact oriented approach, Prentice-Hall, Sydney, Australia, 1989.
- 25. A. PITTS, Fuzzy sets do not form a topos, Fuzzy Sets and Systems, 1982, 8, pp. 101-104. Zbl0499.03051MR665492
- 26. R. SNODGRASS and I. AHN, Temporal Databases, IEEE Computer, 1986, 19(9), pp. 35-42.
- 27. D. W. SHIPMAN, The Functional Data Model and the Data Language DAPLEX, ACM Transactions on Database Systems, 1981, 6(1), pp. 140-173.
- 28. A. SIEBES, On Complex Objects, PhD thesis, University of Twente, Enschede, The Netherlands, 1990.
- 29. R. SNODGRASS, Temporal Databases Status and Research Directions, SIGMOD Record, 1990, 19(4), pp. 83-89.
- 30. J. M. SPIVEY, Understanding Z: A Specification Language and its Formal Semantics, Cambridge University Press, Cambridge, United Kingdom, 1988. Zbl0658.68005MR939813
- 31. C. THEODOULIDIS, P. LOUCOPOULOS and B. WANGLER, A conceptual modelling formalism for temporal database applications, Information Systems, 1991, 16(4), pp. 401-416.
- 32. C. TUIJN, Data Modeling from a Categorical Perspective, PhD thesis, University of Antwerp, Antwerp, Belgium, 1994.
- 33. T. J. TEOREY, D. YANG and J. P. FRY, A logical design methodology for relational databases using the extended entity-relationship model, ACM Computing Surveys, 1986, 18(2), pp. 197-222. Zbl0641.68172
- 34. S. B. ZDONIK and D. MAIER, editors, Readings in Object-Oriented Database Systems, Morgan Kaufmann, San Mateo, California, 1990.
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.