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.

Refinement is one of the cornerstones of a formal approach to software engineering. Refinement is all about turning an abstract description (of a soft or hardware system) into something closer to implementation. It provides that essential bridge between higher level requirements and an implementation of those requirements. This book provides a comprehensive introduction to refinement for the researcher or graduate student. It introduces refinement in different semantic models, and shows how refinement is defined and used within some of the major formal methods and languages in use today. It (1) introduces the reader to different ways of looking at refinement, relating refinement to observations(2) shows how these are realised in different semantic models (3) shows how different formal methods use different models of refinement, and (4) how these models of refinement are related.

This book constitutes the refereed proceedings of the 5th International Conference on Integrated Formal Methods, IFM 2005, held in Eindhoven, The Netherlands, in November/December 2005. The 19 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on components, state/event-based verification, system development, applications of B, tool support, non-software domains, semantics, as well as UML and statecharts.

This book constitutes the refereed proceedings of the 8th International Conference on Formal Engineering Methods, ICFEM 2006, held in Macao, China, in November 2006. The 38 revised full papers presented together with three keynote talks were carefully reviewed and selected from 108 submissions. The papers address all current issues in formal methods and their applications in software engineering.

Refinement is one of the cornerstones of the formal approach to software engineering, and its use in various domains has led to research on new applications and generalisation. This book brings together this important research in one volume, with the addition of examples drawn from different application areas. It covers four main themes: Data refinement and its application to Z Generalisations of refinement that change the interface and atomicity of operations Refinement in Object-Z Modelling state and behaviour by combining Object-Z with CSP Refinement in Z and Object-Z: Foundations and Advanced Applications provides an invaluable overview of recent research for academic and industrial researchers, lecturers teaching formal specification and development, industrial practitioners using formal methods in their work, and postgraduate and advanced undergraduate students. This second edition is a comprehensive update to the first and includes the following new material: Early chapters have been extended to also include trace refinement, based directly on partial relations rather than through totalisation Provides an updated discussion on divergence, non-atomic refinements and approximate refinement Includes a discussion of the differing semantics of operations and outputs and how they affect the abstraction of models written using Object-Z and CSP Presents a fuller account of the relationship between relational refinement and various models of refinement in CSP Bibliographic notes at the end of each chapter have been extended with the most up to date citations and research

This book constitutes the refereed proceedings of the First International Conference of B and Z Users, ZB 2000, held in York, UK in August/September 2000. The 25 revised full papers presented together with four invited contributions were carefully reviewed and selected for inclusion in the book. The book documents the recent advances for the Z formal specification notion and for the B method; the full scope, ranging from foundational and theoretical issues to advanced applications, tools, and case studies, is covered.