Corollaries on the fixpoint completion: studying the stable semantics by means of the Clark completion

TitleCorollaries on the fixpoint completion: studying the stable semantics by means of the Clark completion
Publication TypeConference Paper
Year of Publication2004
AuthorsD. Seipel, M. Hanus, U. Geske, O. Bartenstein
Conference Name15th International Conference on Applications of Declarative Programming and Knowledge Management and the 18th Workshop on Logic Programming
Conference LocationPotsdam, Germany
Abstract

The fixpoint completion fix(P) of a normal logic program P is a program transformation such that the stable models of P are exactly the models of the Clark completion of fix(P). This is well-known and was studied by Dung and Kanchanasut (1989). The correspondence, however, goes much further: The Gelfond-Lifschitz operator of P coincides with the immediate consequence operator of fix(P), as shown by Wendt (2002), and even carries over to standard operators used for characterizing the well-founded and the Kripke-Kleene semantics. We will apply this knowledge to the study of the stable semantics, and this will allow us to almost effortlessly derive new results concerning fixed-point and metric-based semantics, and neural-symbolic integration.

Full Text

D. Seipel, M. Hanus, U. Geske, and O. Bartenstein, 'Corollaries on the fixpoint completion: studying the stable semantics by means of the Clark completion,' 15th International Conference on Applications of Declarative Programming and Knowledge Management and the 18th Workshop on Logic Programming, Potsdam, Germany, March 4-6, 2004, pp. 13-27.
pages: 13-27
year: 2004
venue name: 15th International Conference on Applications of Declarative Programming and Knowledge Management and the 18th Workshop on Logic Programming