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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.
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 analyzes both local and national House and Senate campaigns in the 2016 election to reveal how distinctive campaign dynamics have a collective national impact. Featuring detailed case studies of ten competitive House races and twelve high-profile U.S. Senate campaigns, the volume provides a deep analysis of campaign dynamics and the polarizing effects of the presidential campaigns of Donald Trump and Hillary Clinton. These studies are contextualized by four thematic chapters that cover the most salient talking points of the 2016 elections, including voter registration laws and congressional candidates' use of Twitter. As penetrating as it is comprehensive, this volume provides readers with a fuller understanding of the divided landscape of contemporary American political campaigns.
A paradigm shift in American Indian literary criticism.
Historical papers are prefixed to several issues.
"List of members" in vol. 13-