Several relationships between software testing criteria, each induced by a relation between the corresponding multisets of subdomains, are examined. The authors discuss whether for each relation R and each pair of criteria, C/sub 1/ and C/sub 2/, R(C/sub 1/, C/sub 2/) guarantees that C/sub 1/ is better at detecting faults than C/sub 2/ according to various probabilistic measures of fault-detecting ability. It is shown that the fact that C/sub 1/ subsumes C/sub 2/ does not guarantee that C/sub 1/ is better at detecting faults. Relations that strengthen the subsumption relation and that have more bearing on fault-detecting ability are introduced.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Frankl et al. (1993) studied this question.
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