First-Order Stable Model Semantics and First-Order Loop Formulas

16 Jan 2014Joohyung LeeYunsong Meng

Lin and Zhaos theorem on loop formulas states that in the propositional case the stable model semantics of a logic program can be completely characterized by propositional loop formulas, but this result does not fully carry over to the first-order case. We investigate the precise relationship between the first-order stable model semantics and first-order loop formulas, and study conditions under which the former can be represented by the latter... (read more)

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