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There are at least three possible orderings of the subsets of a powerdomain: Egli-Milner: X <= Y iff for all x in X, exists y in Y: x <= y and for all y in Y, exists x in X: x <= y ("The other domain always contains a related element"). Hoare or Partial Correctness or Safety: X <= Y iff for all x in X, exists y in Y: x <= y ("The bigger domain always contains a bigger element"). Smyth or Total Correctness or Liveness: X <= Y iff for all y in Y, exists x in X: x <= y ("The smaller domain always contains a smaller element"). If a powerdomain represents the re スポンサード リンク
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