Download Formal Methods for Industrial Applications: Specifying and by Jean-Raymond Abrial, Egon Börger, Hans Langmaack PDF

By Jean-Raymond Abrial, Egon Börger, Hans Langmaack

This booklet, with the CD-ROM integrated, is the documentation of a distinct collaborative attempt in comparing formal equipment for utilization below business constraints: the foremost ideas for officially supported specification, layout, and verification of enormous courses and intricate platforms are utilized to a non-trivial and non-academic challenge that's regular for business casual requisites specifications.
The 21 papers integrated within the publication, including an advent and pageant file, have been chosen from 33 candidate strategies. This booklet comes with a CD-ROM containing, along with the published papers, executable code, complete definitions of all elements of the requirements, and exact descriptions of foundational concerns the place appropriate.

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Auch diese Funktion ist bereits in Haskell mit der Bezeichnung elem definiert. Wir haben Funktionen kennengelernt, mit denen wir den Anfang oder das Ende einer Liste entfernen können. Es kann aber auch nützlich sein, eine Funktion zu haben, die das i-te Element einer Liste zurückliefert. Dabei beginnen wir die Nummerierung mit dem Index 0, so dass das letzte Element einer n-elementige Liste den Index n-1 hat. Dazu wollen wir die Funktion elementAt definieren: elementAt :: Int -> [a] -> a elementAt 0 (x:_) = x elementAt n (_: xs) = elementAt (n -1) xs Wenn der Anfrageindex innerhalb des erlaubten Intervalls bleibt, liefert die Funktion das richtige Element.

Die rekursive Lösung formulieren wir jetzt ein wenig umgangssprachlich: hanoi(i, a, b, c) = fertig i=0 hanoi(i − 1, a, c, b), oberste Scheibe von a nach c, hanoi(i − 1, b, a, c) i > 0 Gestartet wird die Funktion für n Scheiben durch hanoi(n, A, B,C), wobei A der Stab mit den n Scheiben ist und B und C leer sind. 4 Verschachtelte Rekursion 45 Abb. 1 Abarbeitung der rekursiven Fibonacci-Funktion mit dem Startwert 5 Abb. 4 Verschachtelte Rekursion Bei der verschachtelten Rekursion wird das Argument für den rekursiven Aufruf selbst durch einen rekursiven Aufruf bestimmt.

Da für jeden dieser Datentypen die Addition definiert ist, erkennt Hugs, dass die Klasse Num den allgemeinen Fall darstellt. Was der Begriff Klasse ganz genau bedeutet, werden wir an einer späteren Stelle lernen. 30 3 Funktionen und Operatoren Diese vier unterschiedlichen Signaturen kommen demnach in Frage: dekrementiere dekrementiere dekrementiere dekrementiere :: :: :: :: Int Integer Float Double -> -> -> -> Int Integer Float Double Damit ist die Funktion dekrementiere überladen (overloaded).

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