The expressive powers of the logic programming semantics (extended abstract)

  • Authors:
  • John S. Schlipf

  • Affiliations:
  • University of Cincinnati

  • Venue:
  • PODS '90 Proceedings of the ninth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
  • Year:
  • 1990

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Abstract

We compare the expressive powers of three semantics for deductive databases and logic programming: the 3-valued program completion semantics, the well-founded semantics, and the stable semantics, We identify the expressive power of the stable semantics, and in fairly general circumstances that of the well-founded semantics.Over infinite Herbrand models, where the three semantics have equivalent expressive power, we also consider a notion of uniform translatability between the 3-valued program completion and well-founded semantics. In this sense of uniform translatability we show the well-founded semantics to be more expressive.