Continuity in software systems

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Abstract
Most engineering artifacts behave in a continuous fashion, and this property is generally believed to underlie their dependability. In contrast, software systems do not have continuous behavior, which is taken to be an underlying cause of their undependability. The theory of software reliability has been questioned because technically the sampling on which it is based applies only to continuous functions.This paper examines the role of continuity in engineering, particularly in testing and certifying artifacts, then considers the analogous software situations and the ways in which software is intrinsically unlike other engineered objects. Several definitions of software 'continuity' are proposed and related to ideas in software testing. It is shown how 'continuity' can be established in practice, and the consequences for testing and analysis of knowing that a program is 'continuous.Underlying any use of software 'continuity' is the continuity of its specification in the usual mathematical sense. However, many software applications are intrinsically discontinuous and one reason why software is so valuable is its natural ability to handle these applications, where it makes no sense to seek software 'continuity' or to blame poor dependability on its absence.

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