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Strongly Convertible Constraints

  • avg(X) ≥ 25 is convertible anti-monotone w.r.t. item value descending order R: < a, f, g, d, b, h, c, e >
    • If an itemset af violates a constraint C, so does every itemset with af as prefix, such as afd
  • avg(X) ≥ 25 is convertible monotone w.r.t. item value ascending order R-1: < e, c, h, b, d, g, f, a >
    • If an itemset d satisfies a constraint C , so does itemsets df and dfa , which having d as a prefix
  • Thus, avg(X) ≥ 25 is strongly convertible

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