Abstract
D. McCullough's (1988) state machine formulism and definition of restrictiveness are restated. An example system is presented which illustrates the problem of probabilistic interference. An extension to McCullough's work that solves the problem of probabilistic interference is developed. A series of examples are presented which are designed to show the application of this extension. An example which is a novel solution to the so-called secure readers-writers problem is also presented.

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