Complexity of First Order ID-Logic

نویسندگان

  • John S. Schlipf
  • Marc Denecker
چکیده

First Order ID-Logic interprets general first order, nonmonotone, inductive definability by generalizing the wellfounded semantics for logic programs. We show that, for general (thus perhaps infinite) structures, inference in First Order ID-Logic is completeΠ2 over the natural numbers. We also prove a Skolem Theorem for the logic: every consistent formula of First Order ID-Logic has a countable model.

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تاریخ انتشار 2008