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Stable models and circumscription
Authors:Paolo Ferraris  Joohyung Lee  Vladimir Lifschitz
Affiliation:aGoogle, Inc., 1600 Amphitheatre Parkway, Mountain View, CA 94043, United States;bDepartment of Computer Science and Engineering, Arizona State University, 699 South Mill Avenue, Tempe, AZ 85281, United States;cDepartment of Computer Sciences, University of Texas at Austin, 1 University Station C0500, Austin, TX 78712, United States
Abstract:The concept of a stable model provided a declarative semantics for Prolog programs with negation as failure and became a starting point for the development of answer set programming. In this paper we propose a new definition of that concept, which covers many constructs used in answer set programming and, unlike the original definition, refers neither to grounding nor to fixpoints. It is based on a syntactic transformation similar to parallel circumscription.
Keywords:Answer set programming   Circumscription   Nonmonotonic reasoning   Program completion   Stable models
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