Synonyms
Two-sorted first-order logic
Definition
Temporal Relational Calculus (TRC) is a temporal query language extending the relational calculus. In addition to data variables and quantifiers ranging over a data domain (a universe of uninterpreted constants), temporal relational calculus allows temporal variables and quantifiers ranging over an appropriate time domain [1].
Key Points
A natural temporal extension of the relational calculus allows explicit variables and quantification over a given time domain, in addition to the variables and quantifiers over a data domain of uninterpreted constants. The language is simply the two-sorted version (variables and constants are temporal or non-temporal) of first-order logic over a data domain D and a time domain T.
The syntax of the two-sorted first-order language over a database schema ρ = {R1,…,Rk} is defined by the grammar rule:
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Recommended Reading
Chomicki J, Toman D. Temporal databases. In: Fischer M, Gabbay D, Villa L, editors. Handbook of temporal reasoning in artificial intelligence, Foundations of artificial intelligence. New York: Elsevier; 2005. p. 429–67.
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Chomicki, J., Toman, D. (2018). Temporal Relational Calculus. In: Liu, L., Özsu, M.T. (eds) Encyclopedia of Database Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8265-9_1531
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DOI: https://doi.org/10.1007/978-1-4614-8265-9_1531
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