Every logic program has a natural stratification and an iterated least fixed point model
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PODS '90 Proceedings of the ninth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
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MDAI'05 Proceedings of the Second international conference on Modeling Decisions for Artificial Intelligence
FoIKS'06 Proceedings of the 4th international conference on Foundations of Information and Knowledge Systems
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FSTTCS'04 Proceedings of the 24th international conference on Foundations of Software Technology and Theoretical Computer Science
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PADL'05 Proceedings of the 7th international conference on Practical Aspects of Declarative Languages
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We define choice logic programs as negation-free datalog programs that allow rules to have exclusive-only disjunctions in the head. We show that choice programs are equivalent to semi-negative datalog programs, at least as far as stable models are concerned. We also discuss an application where strategic games can be naturally formulated as choice programs; it turns out that the stable models of such programs capture exactly the set of Nash equilibria.