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The most critical problem in applying circumscription is that of deciding on what predicates to minimize (there is, in addition, a further technical question about which predicates to treat as fixed and which as variable in extension).
In circumscription (McCarthy 1982; McCarthy 1986; Lifschitz 1988), one or more predicates of the language are selected for minimization (there is, in addition, a further technical question of which predicates to treat as fixed and which to treat as variable).
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