| 书目名称 | Z User Workshop, York 1991 | | 副标题 | Proceedings of the S | | 编辑 | J. E. Nicholls | | 视频video | | | 丛书名称 | Workshops in Computing | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Conference proceedings 1992 | | 关键词 | calculus; database; formal method; formal methods; high-integrity software; logic; programming; structured | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-3203-5 | | isbn_softcover | 978-3-540-19780-5 | | isbn_ebook | 978-1-4471-3203-5Series ISSN 1431-1682 | | issn_series | 1431-1682 | | copyright | British Computer Society 1992 |
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