Download e-book for kindle: On a Method of Multiprogramming (Monographs in Computer by W.H.J. Feijen, A.J.M. van Gasteren

By W.H.J. Feijen, A.J.M. van Gasteren

The following, the authors suggest a mode for the formal improvement of parallel courses - or multiprograms as they like to name them. They accomplish this with no less than formal apparatus, i.e. with the predicate calculus and the good- demonstrated idea of Owicki and Gries. They express that the Owicki/Gries idea could be successfully positioned to paintings for the formal improvement of multiprograms, whether those algorithms are disbursed or now not.

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Additional resources for On a Method of Multiprogramming (Monographs in Computer Science)

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Thc moral of this intermission is, that careful calculation, rather than "intelligent guessing" , will be indispensable for the art of constructing multiprograms. End of Intermission. * * * The global correctness of an assertion P in a component tells us that the rest of the system, does not falsify P, Le. does not flip the state of the system from P to -,P. ) But we want more than just P's stability. We want the state of the system to actually satisfy P. This, now, will be the task of the component in which assertion P occurs.

In order to illustrate what this can lead to, we consider the following example. An operationalist necds at least three steps to check program fragment 20 2. Our Program Notation and Its Semantics {P} So; S1 {R} first he executes So, second he retains the result, and, third, uses this to execute S1. (We have not counted that he should check that the answer satisfies R. ) Given our semantics for the semicolon, we have to do three things as weH, viz. formulate an intermediate assertion Q and then prove {P} So {Q} and {Q} S1 {R} .

This completes our proof. So the great merit of a system invariant is that we can assert it everywhere in our program text, at the expense of only a linear amount of work. But this brings about another great merit, viz. because a system invariant can be added as a conjunct to each assertion, we have the freedom of not writing it anywhere in our annotation. And this is what we shall do. Although merely clerical, this rule is very important for the clarity and economy of exposition, for writer and reader and for student and teacher alike.

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On a Method of Multiprogramming (Monographs in Computer Science) by W.H.J. Feijen, A.J.M. van Gasteren

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