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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 = 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.
This book constitutes the refereed proceedings of the 4th International Conference of Z and B users, ZB 2005, held in Guildford, UK in April 2005. The 25 revised full papers presented together with extended abstracts of 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers document the recent advances for the Z formal specification notation and for the B method, ranging from foundational, theoretical, and methodological issues to advanced applications, tools, and case studies.
The Ninth International Conference on Reliable Software Technologies, Ada- Europe 2004, took place in Palma, Spain, June 14–18, 2004. It was sponsored by Ada-Europe, the European federation of national Ada societies, and Ada- Spain, in cooperation with ACM SIGAda. It was organized by members of the University of the Balearic Islands (UIB). As in past years, the conference comprised a three-day technical program, during which the papers contained in these proceedings were presented, along with vendor presentations. The technical program was bracketed by two tutorial days, when the attendees had the opportunity to catch up on a variety of topics related to the ?eld, at both introductory and ...
Routledge Encyclopedia of Technology and the Humanities is a pioneer attempt to introduce a wide range of disciplines in the emerging field of techno-humanities to the English-reading world. This book covers topics such as archaeology, cultural heritage, design, fashion, linguistics, music, philosophy, and translation. It has 20 chapters, contributed by 26 local and international scholars. Each chapter has its own theme and addresses issues of significant interest in the respective disciplines. References are provided at the end of each chapter for further exploration into the literature of the relevant areas. To facilitate an easy reading of the information presented in this volume, chapters have been arranged according to the alphabetical order of the topics covered. This Encyclopedia will appeal to researchers and professionals in the field of technology and the humanities, and can be used by undergraduate and graduate students studying the humanities.
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