Notes:
Further information and verification results are available from the
PRISM web page.
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Abstract.
Probabilistic model checking is a formal verification
technique for analysing the reliability and performance
of systems exhibiting stochastic behaviour.
In this paper, we demonstrate the applicability of this approach and,
in particular, the probabilistic model checking tool PRISM
to the evaluation of reliability and redundancy of defect-tolerant systems
in the field of computer-aided design.
We illustrate the technique with an example due to von Neumann, namely NAND multiplexing.
We show how, having constructed a model of a defect-tolerant system
incorporating probabilistic assumptions about its defects,
it is straightforward to compute a range of reliability measures
and investigate how they are affected by slight variations in the behaviour of the system.
This allows a designer to evaluate, for example,
the trade-off between redundancy and reliability in the design.
We also highlight errors in analytically computed reliability bounds,
recently published for the same case study.
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