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Titlebook: Z User Workshop, York 1991; Proceedings of the S J. E. Nicholls Conference proceedings 1992 British Computer Society 1992 calculus.database

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書(shū)目名稱Z User Workshop, York 1991
副標(biāo)題Proceedings of the S
編輯J. E. Nicholls
視頻videohttp://file.papertrans.cn/1061/1060385/1060385.mp4
叢書(shū)名稱Workshops in Computing
圖書(shū)封面Titlebook: Z User Workshop, York 1991; Proceedings of the S J. E. Nicholls Conference proceedings 1992 British Computer Society 1992 calculus.database
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
關(guān)鍵詞calculus; database; formal method; formal methods; high-integrity software; logic; programming; structured
版次1
doihttps://doi.org/10.1007/978-1-4471-3203-5
isbn_softcover978-3-540-19780-5
isbn_ebook978-1-4471-3203-5Series ISSN 1431-1682
issn_series 1431-1682
copyrightBritish Computer Society 1992
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Conference proceedings 1992t 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.
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