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Abdullah Uz Tansel, "Temporal Relational Data Model," IEEE Transactions on Knowledge and Data Engineering, vol. 9, no. 3, pp. 464479, MayJune, 1997.  
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@article{ 10.1109/69.599934, author = {Abdullah Uz Tansel}, title = {Temporal Relational Data Model}, journal ={IEEE Transactions on Knowledge and Data Engineering}, volume = {9}, number = {3}, issn = {10414347}, year = {1997}, pages = {464479}, doi = {http://doi.ieeecomputersociety.org/10.1109/69.599934}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Knowledge and Data Engineering TI  Temporal Relational Data Model IS  3 SN  10414347 SP464 EP479 EPD  464479 A1  Abdullah Uz Tansel, PY  1997 KW  Collapsed set operations KW  equivalence of relational algebra and calculus KW  temporal reduction KW  temporal relational algebra KW  temporal relational calculus KW  relational model KW  temporal databases. VL  9 JA  IEEE Transactions on Knowledge and Data Engineering ER   
Abstract—This paper incorporates a temporal dimension to nested relations. It combines research in temporal databases and nested relations for managing the temporal data in nontraditional database applications. A temporal data value is represented as a temporal atom; a temporal atom consists of two parts: a temporal set and a value. The temporal atom asserts that the value is valid over the time duration represented by its temporal set. The data model allows relations with arbitrary levels of nesting and can represent the histories of objects and their relationships. Temporal relational algebra and calculus languages are formulated and their equivalence is proved. Temporal relational algebra includes operations to manipulate temporal data and to restructure nested temporal relations. Additionally, we define operations to generate a power set of a relation, a set membership test, and a set inclusion test, which are all derived from the other operations of temporal relational algebra. To obtain a concise representation of temporal data (temporal reduction), collapsed versions of the settheoretic operations are defined. Procedures to express collapsed operations by the regular operations of temporal relational algebra are included. The paper also develops procedures to completely flatten a nested temporal relation into an equivalent 1NF relation and back to its original form, thus providing a basis for the semantics of the collapsed operations by the traditional operations on 1NF relations.
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