Abstract

AbstractWe define the class of cardinality constraint logic programs and provide a formal stable model semantics for them. The class extends normal logic programs by allowing the use of cardinality constraints and conditional literals. We identify a decidable subset, omega-restricted programs, of the class. We show how the formal semantics can be extended to allow the use of evaluated function symbols, such as arithmetic built-in operators. The omega-restricted cardinality constraint programs have been implemented in the Smodels system.KeywordsLogic ProgramLogic ProgrammingStable ModelFunction SymbolChoice RuleThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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