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This book presents a fundamental mathematical and logical approach to soft ware and systems engineering. Considering the large number of books de scribing mathematical approaches to program development, it is important to explain what we consider to be the specific contribution of our book, to identify our goals, and to characterize our intended target audience. Most books dealing with the mathematics and logics of programming and system development are mainly devoted to programming in the small. This is in contrast to our book where the emphasis is on modular system development with the help of component specifications with precisely identified interfaces and refinement concepts. Our book aims at systems development carried out in a systematic way, based on a clear mathematical theory. We do not claim that this book presents a full-blown engineering method. In fact, this is certainly not a book for the application-driven software engi neer looking for a practical method for system development in an industrial context. It is much rather a book for the computer scientist and the scientifi cally interested engineer who looks for basic principles of system development and, moreover, its mathematical foundations. It is also a book for method builders interested in a proper mathematical foundation on which they can build a practical development method and industrial-strength support tools.

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This volume contains the proceedings of the Third International Workshop on Hybrid Systems: Computation and Control (HSCC 2000), which was held on March 23-25, 2000, in Pittsburgh, Pennsylvania. The proceedings of the rst two workshops in this series were published by Springer-Verlag, in the Lecture Notes in Computer Science series, as volumes 1386 and 1569. The focus of the Hybrid Systems workshop series is on modeling, control, synthesis, design, and veri cation of hybrid systems. A hybrid system is a th- reticalmodelforacomputercontrolledengineeringsystem,withadynamicsthat evolvesbothinadiscretestatesetandinafamilyofcontinuousstatespaces.- brid systems researchis motivated by, for example, controlof electro-mechanical systems(robots),air tra ccontrol,controlofautomatedfreeways,andchemical process control. The research area of hybrid systems overlaps both with c- puter science and with control theory. The workshop series is intended to foster the interaction between researchers from these elds in addressing problems in this new domain. The scientic program of the workshop consisted of four invited talks and 32 contributed talks. The following researcherspresented invited talks: K. Butts (Ford Research, USA), N. Leveson (MIT, USA), A. Sangiovanni-Vincentelli (U. California,Berkeley,USA), and B. Williams (MIT, USA). The contributed talks were based on the papers in these proceedings. The program committee, chaired by the editors, selected the 32 contributed papers out of 71 submitted papers. The editors are grateful to the members of theprogramcommitteefortheir generoushelpinthereviewingandtheselection process.

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This volume contains the proceedings of the Second International Workshop on Hybrid Systems: Computation and Control (HSCC99) to be held March 29- 31, 1999, in the village Berg en Dal near Nijmegen, The Netherlands. The rst workshop of this series was held in April 1998 at the University of California at Berkeley. The series follows meetings that were initiated by Anil Nerode at Cornell University. The proceedings of those meetings were published in the Springer-Verlag LNCS Series, Volumes 736, 999, 1066, 1201, and 1273. The p- ceedings of the rst workshop of the new series was published in LNCS 1386. The focus of the workshop is on modeling, control, synthesis, design, and ve- cation of hybrid systems. A hybrid system is a theoretical model for a computer controlled engineering system, with a dynamics that evolves both in a discrete state set and in a family of continuous state spaces. Research is motivated by, for example, control of electro-mechanical systems (robots), air tra c control, control of automated freeways, and chemical process control. The emerging - search area of hybrid systems overlaps both with computer science and with control theory. The interaction between researchers from these elds is expected to be fruitfull for the development of the area of hybrid systems.

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The Information and communication technology (ICT) industry is said to account for 2% of the worldwide carbon emissions a fraction that continues to grow with the relentless push for more and more sophisticated computing equipment, c- munications infrastructure, and mobile devices. While computers evolved in the directionofhigherandhigherperformanceformostofthelatterhalfofthe20thc- tury, the late 1990s and early 2000ssaw a new emergingfundamentalconcern that has begun to shape our day-to-day thinking in system design power dissipation. As we elaborate in Chapter 1, a variety of factors colluded to raise power-ef?ciency as a ?rst class design concern in the designers mind, with profound consequences all over the ?eld: semiconductor process design, circuit design, design automation tools, system and application software, all the way to large data centers. Power-ef?cient System Design originated from a desire to capture and highlight the exciting developments in the rapidly evolving ?eld of power and energy op- mization in electronic and computer based systems. Tremendous progress has been made in the last two decades, and the topic continues to be a fascinating research area. To develop a clearer focus, we have concentrated on the relatively higher level of design abstraction that is loosely called the system level. In addition to the ext- sive coverage of traditional power reduction targets such as CPU and memory, the book is distinguished by detailed coverage of relatively modern power optimization ideas focussing on components such as compilers, operating systems, servers, data centers, and graphics processors.

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