A Time Independent Definition of Software Reliability

Cover A Time Independent Definition of Software Reliability
A Time Independent Definition of Software Reliability
Stewart N Weiss
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043a-i if 10 < a By solving the inequalities we see that when a ^ 20, the reliability of P is greater than that of Q, while when a & 21, Q is deemed more reliable than P. In particular, we show some results for selected values of a : a R[a, p, S](P) R[ci, p, S](Q) 1 . 901 . 173 10 . 901 . 796 20 . 901 . 898 50 . 901 . 959 100 . 950 . 980 The preceding examples demonstrate that the relative reliabilities of P and Q are governed by the choice of a. Hence, the choice of a should be guided by the characterization of reliability desired. That is, one would decide upon the extent to which reliability should measure the "sizes" of errors and the frequency of errors. Therefore, one is certainly able to characterize many notions of reliability within this family of reliability measures. In fact, one can show that : Lemma 5: Given any specification S, probability function p, and a s 1, there are programs Q and Q' such that R[a, p, S](Q) > R[a, p, S](Q') but R[a', p, S]{Q') < R[a', p, S]iQ') whenever a' > a n Measuring Reliability It is true that, since 8^ is not a computable functional, R[a, p, S] is not a computable functional.

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