Proof in VDM: Case Studies by John Fitzgerald, Cliff Jones (auth.), J. C. Bicarregui BSc,
By John Fitzgerald, Cliff Jones (auth.), J. C. Bicarregui BSc, MSc, PhD (eds.)
Not such a lot of years in the past, it is going to were tricky to discover greater than a handful of examples of using formal tools in undefined. this day in spite of the fact that, the commercial program of formal equipment is turning into more and more universal in a number of program parts, really people with a security, safety or financially serious elements. moreover, in events the place a very excessive point of insurance is needed, formal evidence is commonly permitted as being of price. probably the most important good thing about formalisation is that it allows formal symbolic manip ulation of components of a layout and consequently grants builders with quite a few analyses which facilitate the detection of faults. facts is only one of those attainable formal actions, others, equivalent to try out case new release and animation, have additionally been proven to be potent malicious program finders. evidence can be utilized for either validation and verifi cation. Validation of a specification could be accomplished by means of proving formal statements conjectured concerning the required behaviours of the approach. Verification of the cor rectness of successive designs will be accomplished via evidence of a prescribed set of evidence duties generated from the specifications.
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Extra info for Proof in VDM: Case Studies
Sample text
Since the conclusion is an existential quantification, the proof will normally proceed by '3-1' in which a witness value ([1], page 42) is proposed for the new mags. Typically, there are two parts to a proof applying the '3 -I' rule to show satisfiability: showing that the witness value is of the correct type and showing that it satisfies the postcondition. + Magazine· post-ADD-OBJECT(o, obj, ml, mags, mags) 3-I(a,b) Normally, showing type correctness (justifying line a in the proof above) takes up most of the effort in a proof of correctness.
Out of print. gz Chapter 2 The Ammunition Control System Paul Mukherjee and John Fitzgerald Summary Proving properties of a specification can deepen our knowledge of the specification, leading to clearer specifications, and more elegant and efficient designs. In this chapter we use an existing specification (Mukherjee and Stavridou's model of UN regulations for safe storage of explosives) to illustrate this idea. In particular we demonstrate how to discharge a satisfiability proof obligation, and how to prove the correctness of a specification modification.
Springer-Verlag, 1992. S. B. Jones. Modularizing the Formal Description of a Database System. In D. R. Hoare, and H. Langmaack, editors, VDM '90: VDM and Z - Formal Methods in Software Development, volume 428 of Lecture Notes in Computer Science. Springer-Verlag, 1990. (8) C. B. Jones. Systematic Software Development Using VDM. Prentice Hall International(UK), second edition, 1990. ISBN 0-13-880733-7. Out of print. gz Chapter 2 The Ammunition Control System Paul Mukherjee and John Fitzgerald Summary Proving properties of a specification can deepen our knowledge of the specification, leading to clearer specifications, and more elegant and efficient designs.