Z User Workshop, York 1991

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  • Z User Workshop, York 1991 Book Detail

  • Author : J. E. Nicholls
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Computers
  • Pages : 404
  • ISBN 13 : 1447132033
  • File Size : 57,57 MB

Z User Workshop, York 1991 by J. E. Nicholls PDF Summary

Book Description: 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.

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Z User Workshop, York 1991

Z User Workshop, York 1991

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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

Z User Workshop, London 1992

Z User Workshop, London 1992

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Z User Workshop, Cambridge 1994

Z User Workshop, Cambridge 1994

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This volume contains papers from the Eighth Z User Meeting, to be held at the University of Cambridge from 29 - 30 June 1994. The papers cover a wide range of i