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- W2062847767 abstract "The extensional aspect of expressive power---i.e., what queries can or cannot be expressed---has been the subject of many studies of query languages. Paradoxically, although efficiency is of primary concern in computer science, the intensional aspect of expressive power---i.e., what queries can or cannot be implemented efficiently---has been much neglected. Here, we discuss the intensional expressive power of NRC(Q, +, ·, , ÷, Σ, powerset), a nested relational calculus augmented with aggregate functions and a powerset operation. We show that queries on structures such as long chains, deep trees, etc. have a dichotomous behaviour: Either they are already expressible in the calculus without using the powerset operation or they require at least exponential space. This result generalizes in three significant ways several old dichotomy-like results, such as that of Suciu and Paredaens that the complex object algebra of Abiteboul and Beeri needs exponential space to implement the transitive closure of a long chain. Firstly, a more expressive query language---in particular, one that captures SQL---is considered here. Secondly, queries on a more general class of structures than a long chain are considered here. Lastly, our proof is more general and holds for all query languages exhibiting a certain normal form and possessing a locality property." @default.
- W2062847767 created "2016-06-24" @default.
- W2062847767 creator A5012381970 @default.
- W2062847767 date "2013-06-22" @default.
- W2062847767 modified "2023-10-01" @default.
- W2062847767 title "A dichotomy in the intensional expressive power of nested relational calculi augmented with aggregate functions and a powerset operator" @default.
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- W2062847767 doi "https://doi.org/10.1145/2463664.2463670" @default.
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