Abstract
A greatest fixed point characterization of the minimal infinite objects computed by a nonterminating logic program is presented, avoiding difficulties experienced by other attempts in the literature. A minimal infinite object is included in the denotation just when (1) it is successively finitely approximated by a fair infinite computation of the program and (2) any nonterminating computation which continually approximates this object in fact constructs it. Minimal objects are the most general constructible by nonterminating computations of the program.
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