In a model-based development of software systems different views on a system are elaborated using appropriate modeling languages and techniques. Because of the unavoidable heterogeneity of the viewpoint models, a semantic integration is required, to establish the correspondences of the models and allow checking of their relative consistency.

The integration approach introduced in this book is based on a common semantic domain of abstract systems, their composition and development. Its applicability is shown through semantic interpretations and compositional comparisons of different specification approaches. These range from formal specification techniques like process calculi, Petri nets and rule-based formalisms to semiformal software modeling languages like those in the UML family.

In a model-based development of software systems different views on a system are elaborated using appropriate modeling languages and techniques. Because of the unavoidable heterogeneity of the viewpoint models, a semantic integration is required, to establish the correspondences of the models and allow checking of their relative consistency.

The integration approach introduced in this book is based on a common semantic domain of abstract systems, their composition and development. Its applicability is shown through semantic interpretations and compositional comparisons of different specification approaches. These range from formal specification techniques like process calculi, Petri nets and rule-based formalisms to semiformal software modeling languages like those in the UML family.

This volume is a documentation of the main results in the research area "In- gration of Software Speci?cation Techniques for Applications in Engineering." On one hand it is based on the Priority Program "Integration von Techniken der Softwarespezi?kation fur ] ingenieurwissenschaftliche Anwendungen," short Soft- Spez, oftheGermanResearchCouncil(DFG). Ontheotherhanditcontainsnew contributions of international experts in this research area, some of which were presented at the third international workshop INT 2004 on "Integration of Sp- i?cation Techniques for Applications in Engineering." INT 2004 was launched as a satellite event of ETAPS in Barcelona, the "European Joint Conferences on Theory and Practice of Software." The Priority Program SoftSpez was initiated by W. Brauer, M. Broy, H. Ehrig, H. J. Kreowski, H. Reichel, and H. Weber concerning di?erent aspects from computer science, and by E. Schnieder and E. Westk] amper concerning two main application areas in engineering, namely "Tra?c Control Systems" and "Production Automation." After acceptance of SoftSpez by the German Research Council for the period of 1998-2004 a call for speci?c projects within this priority program was launched, where 11 projects from about 75 project proposals were accepted for a period of two years. Since 1998 each year the main research proposals and results of the projects have been presented at an annual colloquium of the priority program, and every two years the projects have been evaluated by an independent group of referees appointed by the G- man Research Council. At this point we would like to thank A."

In funf sorgfaltig aufeinander abgestimmten Teilen behandelt das Buch die wesentlichen mathematischen Elemente der formalen Spezifikation von Systemen und der Aussagen- und Pradikatenlogik, die fur das Verstandnis des formalisierten Problemlosens entscheidend und damit fur Informatiker unerlasslich sind. Eine Einfuhrung in die intuitive Mengentheorie vermittelt zunachst notwendige mathematische Grundlagen. Motiviert durch das Konzept von Datenstrukturen und abstrakten Datentypen werden dann algebraische Strukturen in der Informatik behandelt. Danach werden Aussagen- und Pradikatenlogik aus der Sicht der Mathematik und Informatik dargestellt. Schliesslich fuhrt die Kategorientheorie fur Informatiker in die Welt der abstrakten Behandlung mathematischer Strukturen ein.
Die Neuauflage wurde erweitert um Darstellungen zur Modellalgebra und zur Implementierung. Ubungsaufgaben wurden erganzt."