Logic Programming from the Perspective of Algebraic Semantics

  • Authors:
  • Jan A. Plaza

  • Affiliations:
  • Department of Mathematics and Computer Science, University of Miami, P.O. Box 249085, Coral Gables, Florida 33124, U.S.A. janplaza@math.cs.miami.edu, http://www.cs.miami.edu/~janplaza

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 1996

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Abstract

We present an approach to foundations of logic programming in which the connection with algebraic semantics becomes apparent. The approach is based on omega-Herbrand models instead of conventional Herbrand models. We give a proof of Clark's theorem on completeness of SLD-resolution by methods of the algebraic semantics. We prove the existence property for definite programs.