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9 January, 19:15

Explain the four criteria for proving the correctness of a logical pretest loop construct of the form "while B do S end". And prove the correctness of the following:

while B do S end

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  1. 9 January, 21:43
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    Check the explanation

    Explanation:

    The loop invariant has to satisfy some amount of requirements to be of good use. Another complex factor as to why a loop is the question of loop termination. A loop that doesn't terminate can't invariably be correct, and in fact the computation in whatever form amounts to nothing. The total axiomatic description of a while construct will have to involve all of the following to be true, in which I is the loop invariant:

    P = > I

    {I and B} S {I}

    (I and (not B)) = > Q

    Then the loop terminates
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