The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Extended algebra and calculus for nested relational databases
Open accessAbstract
Relaxing the assumption that relations are always in First-Normal-Form (1NF) necessitates a reexamination of the fundamentals of relational database theory. In this paper we take a first step towards unifying the various theories of ¬1NF databases. We start by determining an appropriate model to couch our formalisms in. We then define an extended relational calculus as the theoretical basis for our ¬1NF database query language. We define a minimal extended relational algebra and prove its equivalence to the ¬1NF relational calculus. We define a class of ¬1NF relations with certain “good” properties and extend our algebra operators to work within this domain. We prove certain desirable equivalences that hold only if we restrict our language to this domain.
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Cites
A relational model of data for large shared data banks
Codd, E. F. (1970) · Communications of the ACM · doi:10.1145/362384.362685 · Cited by 5,547
A relational model of data for large shared data banks
Codd, E. F. (1983) · Communications of the ACM · doi:10.1145/357980.358007 · Cited by 4,796
The relational model with relation-valued attributes
Schek, H.-J., & Scholl, M. H. (1986) · Information Systems · doi:10.1016/0306-4379(86)90003-7 · Cited by 474
Remarks on the algebra of non first normal form relations
Jaeschke, G., & Schek, H. J. (1982) · Proceedings of the 1st ACM SIGACT-SIGMOD symposium on Principles of database systems - PODS '82 · doi:10.1145/588111.588133 · Cited by 356
Equivalence of Relational Algebra and Relational Calculus Query Languages Having Aggregate Functions
Klug, A. (1982) · Journal of the ACM · doi:10.1145/322326.322332 · Cited by 319
A consideration on normal form of not-necessarily-normalized relation in the relational data model
Makinouchi, A. (1977) · Cited by 199
A new normal form for nested relations
Ozsoyoglu, Z. M., & Yuan, L.-Y. (1987) · ACM Transactions on Database Systems · doi:10.1145/12047.13676 · Cited by 153
Hull, R. B., & Yap, C. K. (1984) · Journal of the ACM · doi:10.1145/828.832 · Cited by 128
Jacobs, B. E. (1982) · Journal of the ACM · doi:10.1145/322307.322310 · Cited by 92
Interactions between dependencies and nested relational structures
Fischer, P. C., Saxton, L. V., Thomas, S. J., et al. (1985) · Journal of Computer and System Sciences · doi:10.1016/0022-0000(85)90057-1 · Cited by 57
Metadata
- Authors
- Roth, M. A., Korth, H. F., & Silberschatz, A.
- Venue
- ACM Transactions on Database Systems
- Published
- 1988-10
- Volume
- 13
- Issue
- 4
- Pages
- 389-417
- ISSN
- 0362-5915 (ISSN-L)
- 1557-4644
- OpenAlex
- W1969375478
- Cited by
- 277
- References
- 11
- FWCI
- 20.65
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Roth, M. A., Korth, H. F., & Silberschatz, A. (1988). Extended algebra and calculus for nested relational databases. ACM Transactions on Database Systems. https://doi.org/10.1145/49346.49347
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