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      On Roth, Korth, and Silberschatz's extended algebra and calculus for nested relational databases

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      Author(s)
      Tansel, A. U.
      Garnett, Lucy
      Date
      1992
      Source Title
      ACM Transactions on Database Systems
      Print ISSN
      0362-5915
      Volume
      17
      Issue
      2
      Pages
      374 - 383
      Language
      English
      Type
      Article
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      Abstract
      We discuss the issues encountered in the extended algebra and calculus languages for nested relations defined by Roth, Korth, and Silberschatz. Their equivalence proof between algebra and calculus fails because of the keying problems and the use of extended set operations. Extended set operations also have unintended side effects. Furthermore, their calculus seems to allow the generation of power sets, thus making it more powerful than their algebra.
      Keywords
      Algebra
      Computer programming languages
      Set theory
      Theorem proving
      Equivalence of algebra and calculus
      Nested relations
      Relational algebra
      Relational calculus
      Relational database systems
      Permalink
      http://hdl.handle.net/11693/26111
      Published Version (Please cite this version)
      https://doi.org/10.1145/128903.128908
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      • Department of Computer Engineering 1510
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