Z User Workshop York 1991 is popular PDF and ePub book, written by J. E. Nicholls in 2012-12-06, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Z User Workshop York 1991 can be Read Online from any device for your convenience.
Z User Workshop York 1991 Book PDF Summary
In ordinary mathematics, an equation can be written down which is syntactically correct, but for which no solution exists. For example, consider the equation x = x + 1 defined over the real numbers; there is no value of x which satisfies it. Similarly it is possible to specify objects using the formal specification language Z [3,4], which can not possibly exist. Such specifications are called inconsistent and can arise in a number of ways. Example 1 The following Z specification of a functionf, from integers to integers "f x : ~ 1 x ~ O· fx = x + 1 (i) "f x : ~ 1 x ~ O· fx = x + 2 (ii) is inconsistent, because axiom (i) gives f 0 = 1, while axiom (ii) gives f 0 = 2. This contradicts the fact that f was declared as a function, that is, f must have a unique result when applied to an argument. Hence no suchfexists. Furthermore, iff 0 = 1 andfO = 2 then 1 = 2 can be deduced! From 1 = 2 anything can be deduced, thus showing the danger of an inconsistent specification. Note that all examples and proofs start with the word Example or Proof and end with the symbol.1.
Detail Book of Z User Workshop York 1991 PDF
- Author : J. E. Nicholls
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781447132035
- Genre : Computers
- Total Page : 404 pages
- Language : English
- PDF File Size : 13,9 Mb
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