Implicit Temporal Query Languages: Towards Completeness

  • Authors:
  • Nicole Bidoit;Sandra De Amo

  • Affiliations:
  • -;-

  • Venue:
  • Proceedings of the 19th Conference on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 1999

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Abstract

In the propositional case, it is known that temporal logic (TL) and first order logic with timestamp(TS-FO) have the same expressive power. Recent work has proved that, in contrast, there are first order logic queries on timestampda tabases that are not expressible in first order temporal logic: TL is not complete. Specifying a complete implicit temporal query language remains an open problem. We investigate two extensions of TL, namely NTL and RNTL. A strict hierarchy in expressive power among fragments RNTLi of RNTL is established. On the one hand, it leads to the conjecture that RNTL is complete. On the other hand, it provides a new promising perspective towards proving the well-known conjecture that there is a strict hierarchy among the i time-variable fragments TS-FOi of TS-FO.