Logical Definability of NP-Optimization Problems with Monadic Auxiliary Predicates

نویسنده

  • Clemens Lautemann
چکیده

Given a rst{order formula ' with predicate symbols e 1 such a solution is deened to be jS 0 j. In a strong sense, every polynomially bounded NP{optimisation problem has such a representation, however, it is shown here that this is no longer true if the predicates s 1 ; : : : ; s r are restricted to be monadic. The result is proved by an Ehrenfeucht{Fra ss e game and remains true in several more general situations.

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تاریخ انتشار 1992