Spatial Logic Programming

نویسندگان

  • Howard A. Blair
  • Victor Marek
  • Jeffrey Remmel
چکیده

We show that the mechanism underlying Logic Programming can be extended to handle the situation when the atoms are interpreted as subsets of various spaces. In such situation, the atoms of the underlying language are interpreted as subsets of the corresponding space. The models of the program are interpreted as subsets of that space. It turns out that the operator approach to Logic Programming can be lifted to such situation, and that when the Horn fragment of such logic is considered, the corresponding operators are monotone and reach the fixpoint in at most ω steps. The concepts of supported and stable models of programs can equally be generalized. We show how a classic PERT/CPM optimization problem can be represented in such circumstances.

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تاریخ انتشار 2006